High school students were interested in a teacher's claim that the longer the length of time (hours) that a student studies for a test, the higher the test scores. The students collected the data and the teacher did the regression analysis with the following results.
a) To test the null hypothesis that the slope is zero, what are the t test statistic and the t-critical values using the 0.05 significance level?
b) What is the coefficient of determination?
c) Write the regression equation in terms of the independent and dependent variables.
d) If a student studies 10 hours, what is the predicted score?
e) What is the interpretation of the coefficient for the Time variable?