The Results for Several Randomly Selected Students for Test 1

question 127

Essay

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

Behavioural Therapist

A mental health professional specializing in treatment methods that focus on changing maladaptive behaviors through reinforcement strategies.

Psychoanalysis

A form of psychotherapy developed by Sigmund Freud that emphasizes unconscious processes and past conflicts as determinants of behavior.

Dreams

Sequences of thoughts, images, and sensations occurring in a person's mind during sleep.

LSD

Lysergic acid diethylamide, a powerful hallucinogenic drug known for altering perception, feelings, and thoughts.