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?

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Definitions:

Perinatal Factor

Variables or conditions around the time of birth that can influence the health outcomes of the newborn or the mother.

Intellectual Disability

A developmental disorder characterized by significant limitations in both intellectual functioning and in adaptive behavior.

Obstetrical Trauma

Injuries or wounds to the birth canal and associated structures as a result of childbirth.