The Results for Several Randomly Selected Students for Test 1

question 52

Essay

The results for several randomly selected students for test 1 and test 2 grades are given
below. $\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|}\hline \text { Test 1 } & 59 & 63 & 65 & 69 & 58 & 77 & 76 & 69 & 70 & 64 \\\hline \text { Test 2 } & 72 & 67 & 78 & 82 & 75 & 87 & 92 & 83 & 87 & 78 \\\hline\end{array}$

Is there sufficient evidence to suggest that there is a linear correlation between test 1 and test 2 grades? Construct a scatterplot, and find the value of the linear correlation coefficient $r$ . Also, find the $P$ -value or the critical value(s) of $r$ using $\alpha = 0.05$ .

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Definitions:

Stimulus Generalization

The tendency of a learned response to be elicited by stimuli similar to the stimulus originally associated with the response.

Conversion Disorder

A rare somatoform disorder in which a person experiences very specific genuine physical symptoms for which no physiological basis can be found.

Fear Of All Dogs

A specific type of phobia where an individual experiences intense fear or anxiety when they encounter dogs or even think about them.

Genetic Predispositions

Inborn tendencies or likelihoods to behave, respond, or be affected by specific environmental factors in certain ways due to one's genetic makeup.