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:

Transamination

A biochemical process by which an amino group from one amino acid is transferred to a keto acid, forming a new amino acid.

Metabolized

The process by which substances are transformed within the body, often into energy or components for growth and repair.

Glucose

A basic form of sugar that serves as a crucial source of energy in living beings and is a constituent of numerous carbohydrates.

Amino Acids

Organic compounds that serve as the building blocks of proteins, necessary for health and vital processes in the body.