Questions 28 - 33: Data was gathered from n = 345 high school students to investigate a possible association between Math SAT scores (MathSAT) and high school grade point averages (GPA). The following computer output was generated. Coefficients Standard Error t p Intercept 2.1467 0.1867 11.50 0.0000 MathSAT 0.0016544 0.0003036 5.449 0.0000 R Square 0.0797 28. Write the linear regression equation and use it to predict the GPA for student who scores 700 on the math part of the SAT. Round your answer to two decimal places. 29. See question 28. Suppose that student has a GPA of 3.5. What is the residual for this student? 30. Interpret the slope of the regression line on context. 31. Interpret the coefficient of determination in context. 32. Construct a 95% confidence interval for the slope of the population regression by answering the following. a) What is the value of t? (use the t-chart) b) What is the standard error? (you don't need a formula) c) What is the margin of error, rounded to 7 decimal places? d) What is the interval? 33. Using the critical value approach, test at 5% significance if MathSAT is an effective predictor for GPA by testing whether or not the population correlation p is 0. a) State the hypotheses. b) Determine the critical values (use the t-chart). c) Calculate the test statistic using the formula t = ryn-2 (You'll need to calculate r, rounded to 4 decimal places. Remember that r can be positive or negative. Which must it be here?) d) Make a decision. e) Can we conclude MathSAT is an effective predictor of GPA