A Student Is Interested in Studying the Impact of Number

question 16

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. Develop an estimated regression equation using number of books referred and the number of lectures attended to predict the final grade on the course.
b. Joseph referred 4 books and attended 19 lectures. What is his predicted final score on the course?

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