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3. You are interested in examining the relationship between SAT scores of incoming freshmen at UCONN and their GPA after one semester. To examine this relationship, you conduct a random survey of 250 students and estimate the following model using OLS: GPA, B. +B, SAT, +₁, where GPA is the grade point average (0 to 4.5) of student , SAT, is the student's SAT score (0 to 1,600) and is a random disturbance term. Regression results are reported below with standard errors in parentheses. 3c. Explained S.S. = 4,750 Unexplained S.S. = 2,500 GPA, =1.4 +0.0016SAT, (1.6) (0.00032) 3a. Interpret the coefficient on SAT in mathematical terms. (Hint: significance is the next question.) 3b. Test the hypothesis that at the 5% significance level. Show all your work. Calculate a 99% confidence interval for B. 3d. Suppose a person scored 1,000 on the SAT. What is their predicted GPA? 3e. Calculate the of the regression. What does the R mean? Show all your work. 0 3. You are interested in examining the relationship between SAT scores of incoming freshmen at UCONN and their GPA after one semester. To examine this relationship, you conduct a random survey of 250 students and estimate the following model using OLS: GPA, B. +B, SAT, +₁, where GPA is the grade point average (0 to 4.5) of student , SAT, is the student's SAT score (0 to 1,600) and is a random disturbance term. Regression results are reported below with standard errors in parentheses. 3c. Explained S.S. = 4,750 Unexplained S.S. = 2,500 GPA, =1.4 +0.0016SAT, (1.6) (0.00032) 3a. Interpret the coefficient on SAT in mathematical terms. (Hint: significance is the next question.) 3b. Test the hypothesis that at the 5% significance level. Show all your work. Calculate a 99% confidence interval for B. 3d. Suppose a person scored 1,000 on the SAT. What is their predicted GPA? 3e. Calculate the of the regression. What does the R mean? Show all your work. 0
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The given problem involves a linear regression analysis where you are interested in examining the relationship between SAT scores of incoming freshmen at UCONN and their GPA after one semester The reg... View the full answer
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Data Analysis and Decision Making
ISBN: 978-0538476126
4th edition
Authors: Christian Albright, Wayne Winston, Christopher Zappe
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