A study was conducted involving 20 students as they prepared for and took the Math section of the SAT Examination. We want to determine if there is a relationship between the number of hours spent studying for the test and the Math SAT scores. The data set is given below:
Statistical analysis gives the following data summary:
Y-intercept = 353.17
Slope = 25.33
r = 0.934
Se = 49.72
a. What regression equation best predicts Math SAT scores, based on hours spent studying?
b. In the context of this example, interpret the value of the slope.
c. Explain interpolation and extrapolation using the next 2 examples:
(i) If a student studied for 15 hours, based upon this study, what would be the expected Math SAT score?
(ii) If a student studied for 100 hours, what would be the expected Math SAT score?
d. Interpret the coefficient of correlation in this example.
e. Interpret the standard error of the estimate.