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:

Sensory Input

Information received by the body's sensory systems, such as sight, sound, touch, taste, and smell, which is then processed by the brain.

Motor Control

The method through which humans and animals employ their brain and nervous system to initiate and manage the movements and limbs necessary for executing a motor skill.

Enteric Nervous System

A subdivision of the autonomic nervous system that directly controls the gastrointestinal system.

Symmetry

Symmetry refers to a balance or congruence in dimensions, shape, and arrangement of parts on opposite sides of a boundary or through a central axis, which can be observed in physical objects, organisms, and designs.