This paper introduces the application of regression analysis in multiple fields, with a focus on conducting linear regression analysis on five case studies. First, the study on the Consumer Price Index (CPI) and Retail Price Index (RPI) reveals a positive correlation between the two, indicating that fluctuations in retail prices significantly affect consumer prices. Second, an analysis was conducted on the impact of academic pressure on students’ mental health, finding that academic pressure significantly affects emotional and psychological states. Third, the paper compares the animation markets in Japan and China, showing differences in market development models and growth trends between the two countries. Next, the paper explores the relationship between socioeconomic status and family educational expectations, indicating that family income and parents’ education levels significantly influence educational expectations. Finally, the paper examines the relationship between age and sleep quality and duration, finding that both sleep quality and duration decrease as age increases. This paper uses linear regression models and related statistical methods, providing data support for further research in related fields.
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