Problem 3 (8 points) University officials would like to know whether students\'

Question

Problem 3 (8 points) University officials would like to know whether students' GPA in college are affected by their SAT scores. Students were randomly selected. Their GPA and SAT scores were recorded. The SPSS output of the simple linear regression is given on the next page. Suppose the basic assumptions are all satisfied (1) (2 points) What is the dependent variable? What is the independent variable? (2) (1 point) How many students are involved in this study? (3) (2 points) Read the table and write down the fitted regression line. (4) (3 points Based on the software output, make a conclusion to answer the research question, and explain why

Explanation / Answer

1. Dependent Variable : GPA

Independent Variable: SAT

2. Total number of students involved in this study is 345

3. The fitted regression line is

GPA Y = 1.662 + 0.001 SAT

4. The P-value of the regression is 0.000 which is less than alpha 0.05, So

We conclude that GPA in the college are affected by their SAT scores

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