(4) The following table presents the number of years of study in English and language arts, and the average SAT writing score for students who took the SAT exam.
Years of Study
SAT Score
0.5
1.0
2.0
3.0
4.0
419
444
463
456
498
(a) Determine the equation of the least-squares regression line for the given data. Round all
values to three decimal places.
(b) What would be the predicted mean SAT score for students with 2.5 years of study?
(c) Interpret the slope of the least-squares regression line found in part (a).
(d) Interpret, if possible, the y-intercept of the least-squares regression line found in part
a.
(e List and interpret the linear correlation coefficient, r, of the least-squares regression
line found in part (a).
(f List and interpret the coefficient of determination, R², of the least-squares regression
line found in part a.
(g Sketch the residual plot for the data. Is a linear model appropriate for the data? Explain
your decision.