The Results for Several Randomly Selected Students for Test 1

question 30

Essay

The results for several randomly selected students for test 1 and test 2 grades are given
below. $$\begin{array} { | l | l | l | l | l | l | l | l | l | l | l | } \hline \text { Test 1 } & 59 & 63 & 65 & 69 & 58 & 77 & 76 & 69 & 70 & 64 \\\hline \text { Test 2 } & 72 & 67 & 78 & 82 & 75 & 87 & 92 & 83 & 87 & 78 \\\hline\end{array}$$ 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 α
= 0.05.

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Definitions:

Vestibular

Pertaining to the body's vestibular system, responsible for maintaining balance and spatial orientation.

Specific Receptor

A specialized cell or molecule designed to recognize and bind with particular substances, triggering a specific response in the body.

Temperature

A measure of the degree of internal heat of a substance or object, typically expressed in units of Celsius, Fahrenheit, or Kelvin.

Vestibular Sense

The sensory system that provides the leading contribution to the sense of balance and spatial orientation for the purpose of coordinating movement with balance.