A Student Is Interested in Studying the Impact of Number

question 47

Essay

A student is interested in studying the impact of number of books referred by students on a statistics course and the number of lectures they attended on the final grade on the course. A sample of 25 students is selected and the data is given below. $$\begin{array} { | c | c | c | } \hline \text { BOOKS } & \text { AT TEND } & \text { GRADE } \\\hline 2 & 17 & 60 \\\hline 3 & 18 & 54 \\\hline 1 & 17 & 62 \\\hline 5 & 20 & 59 \\\hline 2 & 12 & 44 \\\hline 1 & 13 & 40 \\\hline 3 & 17 & 96 \\\hline 4 & 19 & 90 \\\hline 5 & 22 & 97 \\\hline 2 & 22 & 54 \\\hline 5 & 22 & 91 \\\hline 1 & 12 & 48 \\\hline 3 & 18 & 91 \\\hline 1 & 12 & 65 \\\hline 4 & 21 & 82 \\\hline 5 & 14 & 61 \\\hline 3 & 18 & 54 \\\hline 3 & 13 & 46 \\\hline 1 & 8 & 64 \\\hline 5 & 22 & 90 \\\hline\end{array}$$
a. Use the F test to determine the overall significance of the relationship. What is your conclusion
at the 0.05 level of significance? Use the t test to determine the significance of each independent
variable? What are your conclusions at the 0.05 level of significance?
b. How much of the variation in the final grade does the model in part (a) explain?