Simple Linear Equation Research Articles

Foundational Engineering of Artificial Blood Vessels' Biomechanics: The Impact of Wavy Geometric Designs.

The design of wavy structures and their mechanical implications on artificial blood vessels (ABVs) have been insufficiently studied in the existing literature. This research aims to explore the influence of various wavy geometric designs on the mechanical properties of ABVs and to establish a foundational framework for advancing and applying these designs. Computer-aided design (CAD) and finite element method (FEM) simulations, in conjunction with physical sample testing, were utilized. A geometric model incorporating concave and convex curves was developed and analyzed with a symbolic mathematical tool. Subsequently, a total of ten CAD models were subjected to increasing internal pressures using a FEM simulation to evaluate the expansion of internal areas. Additionally, physical experiments were conducted further to investigate the expansion of ABV samples under pressure. The results demonstrated that increased wave numbers significantly enhance the flexibility of ABVs. Samples with 22 waves exhibited a 45% larger area under 24 kPa pressure than those with simple circles. However, the increased number of waves also led to undesirable high-pressure gradients at elevated pressures. Furthermore, a strong correlation was observed between the experimental outcomes and the simulation results, with a notably low error margin, ranging from 19.88% to 3.84%. Incorporating wavy designs into ABVs can effectively increase both vessel flexibility and the internal area under pressure. Finally, it was found that expansion depending on the wave number can be efficiently modeled with a simple linear equation, which could be utilized in future designs.

Horseshoes and spiral waves: capturing the 3D flow induced by a low-mass planet analytically

ABSTRACT The key difficulty faced by 2D models for planet–disc interaction is in appropriately accounting for the impact of the disc’s vertical structure on the dynamics. 3D effects are often mimicked via softening of the planet’s potential; however, the planet-induced flow and torques often depend strongly on the choice of softening length. We show that for a linear adiabatic flow perturbing a vertically isothermal disc, there is a particular vertical average of the 3D equations of motion that exactly reproduces 2D fluid equations for arbitrary adiabatic index. There is a strong connection here with the Lubow–Pringle 2D mode of the disc. Correspondingly, we find a simple, general prescription for the consistent treatment of planetary potentials embedded within ‘2D’ discs. The flow induced by a low-mass planet involves large-scale excited spiral density waves that transport angular momentum radially away from the planet and ‘horseshoe streamlines’ within the coorbital region. We derive simple linear equations governing the flow that locally capture both effects faithfully simultaneously. We present an accurate coorbital flow solution allowing for inexpensive future study of corotation torques, and predict the vertical structure of the coorbital flow and horseshoe region width for different values of adiabatic index, as well as the vertical dependence of the initial shock location. We find strong agreement with the flow computed in 3D numerical simulations, and with 3D one-sided Lindblad torque estimates, which are a factor of 2–3 lower than values from previous 2D simulations.

The Principal's Managerial Influence on Mover Teachers in the Implementation of the Independent Curriculum

The objective of this research is to evaluate the managerial influence of school principals on 25 dynamic educators in implementing an independent learning curriculum across six schools in the Gorontalo district. The study employs a quantitative methodology, utilizing questionnaires and a Likert scale (1-5) for data collection. Validation of the instruments is conducted using the product moment formula, and reliability testing is performed using the Cronbach alpha formula. Data analysis encompasses normality, linearity, simple regression, and hypothesis testing facilitated by SPSS Version 24.0. Results indicate a significant correlation between the managerial abilities of principals and the effectiveness of educator implementation of the independent curriculum, demonstrated by the simple linear regression equation: Y = 49.218 + 0.633X. Analysis of the data processing reveals that 66.7% of the variance in the educator's performance (variable Y) is influenced by the principal's managerial skills (variable X). In comparison, the remaining 33.3% is attributed to unexamined variables. This study underscores the importance of principals and motivating educators collaborating to articulate and disseminate the school's vision through a managerial framework that encompasses planning, organizing, directing, and supervising. This collaborative effort empowers both parties to actively engage and lead in fostering learning and school advancement.

Large-scale statistical study of the dependence of retention index on heating rate in temperature-programmed gas chromatography

Retention indices are values that characterize the retention of a compound in gas chromatography. In practice, retention indices are often assumed to depend only on the structure of the molecule and the type of the stationary phase, but this approximation is incorrect. This study is devoted to studying the dependence of retention indices on the column heating rate in the linear temperature programming mode, using a large and diverse data set. In the NIST 20 database, most data records are recorded in this mode. For stationary phases based on poly(5%-diphenyl-95%-dimethyl)siloxane (5%-phenyl-PDMS), there is a high proportion of records with heating rates of 10-15 K/min. In practice, such a high heating rate is rarely used and the use of such data may cause errors. A search was made for groups of records that were taken from the same primary source, recorded for the same compound and the same stationary phase, but differing in a heating rate. For each of these groups, the value D, the angular coefficient (slope) of the dependence of the retention index on the heating rate, was calculated. This value can take both positive and negative values. The highest values and the greatest variation of D values are observed for polar stationary phases, but further consideration was performed for 5%-phenyl-PDMS due to its greater practical significance. For these stationary phases, the highest D values are observed for aromatic and polyaromatic molecules; oxygen-containing compounds, on the contrary, exhibit lower D values. Negative D values are observed for many trimethylsilyl derivatives. A data set of D values for 756 molecules was selected and published online. There is almost no correlation between D and the retention index, lipophilicity factor logP, and molecular weight. Significant correlations with the number of cycles, the number of rotatable bonds, and the number of aromatic atoms were observed. Linear equations quantitatively relating the molecular descriptors to the D value were constructed. A number of cycles and halogen atoms were shown to contribute positively to the D value, while a number of oxygen atoms and bonds subject to internal rotation contributed negatively. The strong influence of the values related to the conformational rigidity of molecules and the weak influence of polarity allow us to suppose that the entropic factor has a key influence on the D value. A simple empirical linear equation for estimating the value of D is derived and presented in this study. Several machine learning methods for predicting D are compared. The best results are shown by gradient boosting and a random forest. However, the random forest does not achieve high accuracy in predicting the retention indices themselves.

PENGARUH KECEMASAN DI PERPUSTAKAAN TERHADAP PEMENUHAN KEBUTUHAN INFORMASI PEMUSTAKA PADA PERPUSTAKAAN UIN SUNAN KALIJAGA YOGYAKARTA

This research examines how anxiety influences fulfilling users' information needs at the UIN Sunan Kalijaga Yogyakarta Library. This research uses a quantitative method using a sample of 100 active student respondents at UIN Sunan Kalijaga Yogyakarta with a purposive sampling technique. The analysis results show that the anxiety variable's coefficient of determination on meeting needs is 0.642. These results show that the influence of anxiety on fulfilling information needs in the UIN Sunan Kalijaga Yogyakarta Library is 64.2%. The nature of the impact of these two variables is positive, where the simple linear regression equation is Y = 4.203 – 0.334X. The results of hypothesis testing show a rcalculate of 13.268. These results show results that are greater than. This research concludes that library anxiety significantly and positively influences meeting information needs.

Interval-based solar photovoltaic energy predictions: A single-parameter approach with direct radiation focus

This study introduces a novel solar photovoltaic (PV) power generation forecasting method for residential installations, focusing on the direct radiation parameter. It has been rigorously compared against four established methods: Linear Regression (Alt1), Gradient Boosting (Alt2), Gradient Boosting with Lags (Alt3), and Long Short-Term Memory (LSTM) Network (Alt4). Alt1 utilizes a simple linear equation, while Alt2 employs ensemble learning with decision trees. Alt3 leverages past 24-h PV generation data, and Alt4 utilizes specialized recurrent neural networks to address challenges of long-term dependencies in time series forecasting. The proposed method showed better performance in 2022, with a Mean Absolute Error (MAE) of 0.1490 kW and a Coverage Probability (CP) of 91.55 %, demonstrating its reliability and consistency in forecasting. Additionally, it obtained an Average Width of Intervals (AWI) of 0.3365 kW. Furthermore, the method significantly boosted solar energy utilization in a residential case, increasing average solar panel generation by 61.33 kWh/year and reducing the average price by 0.0188 €/kWh. These results highlight its effectiveness in enhancing self-consumption and cutting energy costs, presenting a precise and user-friendly forecasting tool for the solar energy sector. Particularly advantageous for residential use, it facilitates optimized solar energy utilization, contributing to the transition towards sustainable energy practices.

Influence of the Accounting Information System for Providing Credit on Internal Control of Providing Credit

The research was carried out at the Bandung office of PT. BPR Kerta Raharja employed a quantitative methodology, specifically utilizing a descriptive approach and verification methods such as correlation coefficient, simple regression, and coefficient of determination. The sample size in this study consisted of 10 individuals. The research findings indicate that the Accounting Information System for Providing Credit falls under the category of reasonably excellent, with a score of 3.29. Similarly, the Internal Control for Providing Credit is also classified as quite good, achieving a score of 2.96. The calculation of the independent variable, the Accounting Information System for Providing Credit, and the dependent variable, Internal Control of Providing Credit, yielded a correlation value of r = 0.872. The simple linear regression equation is Y = 19.229 + 0.929X. The coefficient of determination (R2), expressed as a percentage, indicates the magnitude of the relationship. The credit-granting accounting information system (X) has a significant influence of 0.872 or 76.1% on credit-granting internal control (Y). The remaining 23.9% is attributed to other factors not examined in this research.

Pengaruh Pendekatan Parenting Style terhadap Motivasi Belajar Siswa Kelas V pada Pembelajaran PKN di UPT SPF SDN Kaccia Kecamatan Tamalate Kota Makassar

The problem in this research is how the parenting style approach influences the learning motivation of class V students in PKN learning at UPT SPF SDN Kaccia, Tamalate District, Makassar City. This research aims to find out and describe the influence of parenting style on the learning motivation of class V students in PKN learning at UPT SPF SDN Kaccia, Tamalate District, Makassar City. The type of research used in this research is mixed methods. Based on the research results, it shows that there is an influence between parenting style and learning motivation obtained from the completed questionnaire. This can be seen from the simple linear regression equation, namely Y 56.99 + 0.433, meaning that every increase in the regression coefficient X 0.433 illustrates that every 1% increase in parenting style will cause an increase of 0.433 in student learning motivation. That 5 out of 10 parents apply a parenting pattern between authoritarian and democratic or situational parenting. Meanwhile, the rest use a permissive parenting style in the sense of not providing too much support and implementing low levels of control over the child. Based on the results of the research above, it can be concluded that there is a positive influence of parenting style on the learning motivation of class V students in PKN learning at UPT SPF SDN Kaccia, Tamalate District, Makassar City.

Employing consumer knowledge to protect consumer rights

The research aims to measure the level of connection and impact of consumer knowledge in protecting consumer rights, and the sample consisted of (275) consumers in five markets (large retail markets in Baghdad) as they represent the research community of consumers who go to the markets to buy products. The data and hypotheses were analyzed and tested using appropriate statistical tools, including the arithmetic mean and standard deviation to measure the level of descriptive responses of the research sample, correlation coefficients (Pearson) to test the relationships between the research variables, and the simple and multiple linear regression equation to test the effect. The results showed the validity of the research hypotheses, and concluded with a number of Conclusions and recommendations.

The Influence of Pancasila and Citizenship Education Learning on Critical Thinking at Tandun 1 State High School

This research is motivated by the lack of student motivation to learn which is still low. The research results show that learning motivation is very important and can influence critical and creative thinking. This research aims to find out whether learning Pancasila education has an effect on the critical thinking skills of students at SMA Negeri 1 Tandun. This research was carried out using quantitative methods with a casual associative approach, and involved students of SMA Negeri 1 Tandun as research subjects. The data collection instrument used was conventional, and the IBM SPSS Version 22 application was used for data processing. Based on the results of the analysis, a simple linear regression equation was obtained, namely Ŷ= 14,245 + 0.629 Meanwhile, the results of the t test obtained t_count of 14.245 t_table of 2.00, which shows that so that Ho is rejected and Ha is accepted. So this research hypothesis is accepted that there is an influence of Civics Learning on Critical Thinking Ability.

THE INFLUENCE OF PEER ENVIRONMENT ON STUDENT LEARNING ACHIEVEMENT MAJORING

This research aims to determine the influence of the peer environment on the learning achievement of students majoring in accounting at SMK Negeri 2 Sidrap. The variables in this research are the peer environment as the independent variable (X) and learning achievement as the dependent variable (Y). The population of this study were all students majoring in Accounting at Negen 2 Sidrap Vocational School, totaling 122 students, while the sample used proportionate stratified random sampling technique with a sample size of 55 students. The data collection technique used was a questionnaire and documentation. The data analysis technique used was descriptive analysis of the percentage of instrument tests and test the hypothesis using SPSS 25 for windows. Based on the results of the data analysis that has been carried out, a simple linear regression equation model Y-63.760+0.351 From the results of the analysis of the coefficient of determination (R), the value R2-45% is obtained, which means that the peer environment contributes to student learning achievement by 45% and the remaining 55% is influenced by natural factors. Meanwhile, from the results of the t-test, a significant value of 0.000 0.05 is obtained, which means Peer environment has a significant effect on student achievement, thus the 'accepted hypothesis.Keywords: Peer Environment; Learning Achievement

Pengaruh Budaya Perusahaan terhadap Kinerja Karyawan pada PT Fuji Technica Indonesia

This research was motivated by wanting to know the extent to which factors influence employee performance at PT Fuji Technica Indonesia. One of the variables that researchers use to examine the influence of employee performance is company culture. The purpose of this research is to explain or explain the influence of company culture variables on employee performance. This research was carried out at PT Fuji Technica Indonesia from June to September 2023. The research method used was quantitative with associative techniques. The population at PT Fuji Technica Indonesia was 400 people. The samples taken were 80 people using the Slovin sampling technique. Based on the calculation results shown in table 4.5, a correlation coefficient of r = 0.767 and a determination coefficient of R = r2 = 0.588 were obtained. Testing the significance of the correlation obtained tcount (10.551 > t table (2.000) at  = 0.05, indicating that the correlation coefficient is significant. Thus, the research hypothesis which states that there is a relationship between Corporate Culture and Employee Performance can be accepted. This means that the better the Corporate Culture will be followed by high Employee Performance. Meanwhile, the coefficient of determination of 0.588 shows that 58.8% of the variation in Employee Performance can be explained by variations in Corporate Culture, the remaining 41.2% is determined by other factors outside Corporate Culture. Based on the results of calculations to develop an equation model In the regression between Company Culture (X) and Employee Performance (Y), the constant α = 3.041 and the regression coefficient β = 1.132 were obtained. Thus, the influence between the independent variable X and the dependent variable Y can be expressed in a simple linear regression equation model as follows: Ý = 3.041 + 1.132 This shows that the regression equation model is significant. The linearity test results obtained Fcount (1.25) < Ftable (1.90) at  = 0.05. These results indicate that the regression equation is linear. Based on the test results above, the regression equation Ý = 3.041+ 1.132X can be used to explain the form of a linear relationship between Company Culture and Employee Performance. This relationship shows that there is a direction of change in the trend of respondent employee performance due to company culture.

Relationships Between Partial Milk Yield and Actual Milk Yield According to Parity in Buffaloes

In this study, the relationships between 100-day of partial milk yield and 270-day of additive and total milk yield of buffaloes according to different parity were investigated. A total of 697 lactation records belonging to 135 heads of buffalo and seven lactations were used in the material. The relationships between the animals' 100-day partial milk yield for 270-day and total milk yield were analyzed for seven lactations. In the study, 100-day milk yield was taken as an independent variable, 270-day and total milk yields as dependent variables, and possible relationships were determined according to simple and multiple linear regression analysis methods. The average lactation period was 256.74 ± 2.61 days, the average 270-day additive milk yield was 2078 ± 65.26 litres and the average total milk yield was 1831 ± 89.57 litres. The daily average milk yields were 7.69 ± 0.11 and 7.08 ± 0.07 liters for 270-day and 100-day respectively. The correlation coefficients were calculated for each parity and calculated as 0.901 (p < 0.01) between the 100-day and 270-day additive yield for the general group. The simple and multiple linear regression equations were shown as [V270 = 470.72 + 1.737 V100 (R2 = 80.2%)], [V270 = 966.23 + 0.645 V100 + 0.001V1002 (R2 = 82.4%)] for the groups. As the parity of lactation increased, it was seen that the determination coefficients were increased. Finally, predicting the total lactation yield by using 100-day of partial milk yield has the highest accuracy.

PENGARUH PENGAWASAN PIMPINAN TERHADAP KINERJA PEGAWAI DI DEPARTEMEN STOCKFIT PT PRATAMA ABADI INDUSTRI JX

This study examines the impact of leadership supervision on employee performance in the Stockfit Department of PT Pratama Abadi Industri JX, Sukabumi Regency. The research uses Monitoring Theory (Vx) by Siagian (2017:115) and Performance Theory (Vy) by Hersey, Blanchard, and Jhonson (1996) in Wibowo (2010:102-105). A quantitative method was employed, with 102 respondents sampled from a population of 200 using Disproportionate Stratified Random Sampling. Data was collected through a Likert scale questionnaire and analyzed using Pearson Product Moment correlation analysis, the Coefficient of Determination formula, and simple linear regression equation model, with hypothesis testing via the t-test. Results indicate that Leadership Supervision (X) was rated as Good, with an average score of 4.0 and a descriptive percentage of 80.19%. Employee Performance (Y) was rated as Very Good, with an average score of 4.2 and a descriptive percentage of 83.80%. Statistical analysis showed a strong positive correlation between Leadership Oversight and Employee Performance (r_xy=0.783, t_(hitung=)12.588 > t_(tabel=)1.983). The Coefficient of Determination (KD) of 0.6130 indicates that 61.3% of the variation in Employee Performance can be explained by Leadership Supervision, with the rest determined by other factors. The linear regression equation model is Y ̂4540.0 + 0.837X, suggesting that changes in Leadership Supervision can predict changes in Employee Performance.

Ta’tsîr Itqân al-Mufradât ‘ala Qudrah Hifdz al-Quran li Tilmîdzât al-Fasl al-tsâlis A

Mastery of Arabic vocabulary is the ability to use the words you have in communicating and making it easier to memorize Arabic texts, especially memorizing the Al-Qur'an. The aim of this research is to determine the effect of vocabulary mastery on the ability to memorize the Qur’an and the size range of the third class “A” female students at the Al-Amin Brandwan Institute for the Memorization of the Qur’an. The research used quantitative input. The two variables are vocabulary proficiency (the independent variable) and the ability to memorize the Qur'an (the dependent variable). The community in this research is the students of the Institute for Memorizing the Qur’an, third semester “A”, numbering 36 students. To collect the data, the researcher used a questionnaire and documentation. And the data analysis method used is simple linear regression analysis using SPSS for Windows 20. Data analysis results using a simple linear regression equation that the output value is t count value = 2.482 with significant level 0.000 < 0.05, which means that vocabulary mastery (independent variable) There is an effect on the ability Memorizing the Qur’an (dependent variable).

THE INFLUENCE OF EMOTIONAL INTELLIGENCE ON ENGLISH LEARNING OUTCOMES OF CLASS XI STUDENTS MA. MURSYIDUTTHULLAB LEMBANNA

This study aims to determine the significance of the influence of emotional intelligence on the results of learning English for class XI, MA. Murshidutthullab Lembanna. The method used in this research is a quantitative method. The results of the study are simple linear regression equations. In the analysis that has been carried out on the basis of decision-making, "If Tcount is greater than Ttable," then H0 is rejected, and Ha is accepted. This shows that tHitung is 25.465 > ttable is 1.691, so it can be interpreted that there is a significant influence on emotional intelligence on English learning outcomes. In addition, if seen in the correlation coefficient of 0.654, the coefficient of determination (R squared) is 0.428, or 42.8%, and the rest is influenced by several factors that were not carried out in this study, namely 57.2%. So it can be interpreted that there is a positive and significant influence of emotional intelligence on the results of learning English for students in class XI. MA. Murshidutthullab lembanna

PENGARUH KUALITAS PELAYANAN TERHADAP KEPUASAN KONSUMEN

This research aims to determine the influence of service quality on consumer satisfaction at UD. Laia in Hilimondrege Raya Village. This type of research is quantitative research that is causal in nature. The sample in this research consisted of 100 consumers. The analytical method used in this research is simple linear regression analysis. The results of this research indicate that there is a significant influence between Service Quality and Consumer Satisfaction at UD. Laia in Hilimondrege Raya Village. In this research, a simple linear regression equation was obtained, namely: Y = 24.008 + 0.565 on consumer satisfaction. Then simultaneously there is a positive influence between the independent variable service quality (X) on the dependent variable consumer satisfaction (Y) using the SPSS 21.0 For Windows Evaluation Version program, obtaining an R Square value of 0.612 or 61.2%. The results of the hypothesis test (t test) obtained a t value of 5.128 > a t table value of 1.661 with a degree of freedom of 98 (100-2) at = 0.05 because 0.000 < 0.05, it can be concluded that service quality influences consumer satisfaction at UD . Laia in Hilimondrege Raya Village.

Meta-Analysis : The Effect of Mathematical Resilience to Mathematical Problem Solving Ability

The aim of this research is to analyze the effect of mathematical resilience to mathematical problem solving abilities based on relevant articles. This research method uses meta analysis using OLS (Ordinary Least Square) to determine a simple linear regression equation and also using formula effect size to determine the measure of effect. The results of this research are that mathematical resilience has a positive effect to mathematical problem solving abilities of 44.488% with a simple linear regression equation, namely . The effect of mathematical resilience to mathematical problem solving ability is large, with average of effect size is 0.764. So, its conclude that mathematical resilience had positive large effect to mathematical problem solving ability.

Associations Between Walking Speed and Gut Microbiome Composition in Older Men From the MrOS Study.

Gut dysbiosis has been linked to frailty, but its association with early mobility decline is unclear. First, we determined the cross-sectional associations between walking speed and the gut microbiome in 740 older men (84 ± 4 years) from the MrOS cohort with available stool samples and 400 m walking speed measured in 2014-2016. Then, we analyzed the retrospective longitudinal associations between changes in 6 m walking speed (from 2005-2006 to 2014-2016, calculated by simple linear equation) and gut microbiome composition among participants with available data (702/740). We determined gut microbiome composition by 16S sequencing and examined diversity, taxa abundance, and performed network analysis to identify differences in the gut microbiome network of fast versus slow walkers. Faster 400 m walking speed (m/s) was associated with greater microbiome α-diversity (R = 0.11; p = .004). The association between a slower decline in 6 m walking speed and higher α-diversity (R = 0.07; p = .054) approached borderline significance. Faster walking speed and less decline in walking speed were associated with a higher abundance of genus-level bacteria that produce short-chain fatty acids, and possess anti-inflammatory properties, including Paraprevotella, Fusicatenibacter, and Alistipes, after adjusting for potential covariates (p < .05). The gut microbiome networks of participants in the first versus last quartile of walking speed (≤0.9 vs ≥1.2 m/s) exhibited distinct characteristics, including different centrality measures (p < .05). Our findings suggest a possible relationship between gut microbiome diversity and mobility function, as indicated by the associations between faster walking speed and less decline in walking speed over 10 years with higher gut microbiome diversity in older men.

Thriving in Constraints: Exploring the Interplay of Human Capital, Social Capital, and Financial Constraints in Frugal Innovation within Family Businesses

This study aims to learn the impact of human capital, social capital, and financial constraints on frugal innovation as perceived by family businesses in the Philippines. Quantitative research was performed using data collected from 93 family businesses, which were analyzed using simple linear regression and structural equation modeling. The results showed that human capital, social capital, and financial constraints, individually and collectively, have a significant impact on frugal innovation. The results also indicated that all measures used for human capital and financial constraints are acceptable, while some measures of social capital and frugal innovation were deemed unfit and were removed from the model. The academe should expand or improve its discussion and curriculum on frugal innovation and continue to look at this through the lenses of its theoretical and practical aspects. Moreover, professors and students should study the relationship further and ultimately expand knowledge and understanding. Family businesses should prioritize improving their human capital to enhance their frugal innovation capabilities. Implementing efficient financial procedures, investigating alternative funding sources, and actively seeking external finance opportunities are crucial. Moreover, family businesses should develop robust social networks. Lastly, the Philippine government should actively encourage continuous learning through mentorship programs and networks.