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An Ardent Fan of Television Game Shows Has Observed That

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An ardent fan of television game shows has observed that, in general, the more educated the contestant, the less money he or she wins. To test her belief, she gathers data about the last eight winners of her favourite game show. She records their winnings in dollars and their years of education and performs a simple linear regression, with the Excel output provided .  Contestant  Years of  education  Winnings 111750215400312600416350511800616300713650814400\begin{array} { | c | c | c | } \hline \text { Contestant } & \begin{array} { c } \text { Years of } \\\text { education }\end{array} & \text { Winnings } \\\hline 1 & 11 & 750 \\\hline 2 & 15 & 400 \\\hline 3 & 12 & 600 \\\hline 4 & 16 & 350 \\\hline 5 & 11 & 800 \\\hline 6 & 16 & 300 \\\hline 7 & 13 & 650 \\\hline 8 & 14 & 400 \\\hline\end{array}  An ardent fan of television game shows has observed that, in general, the more educated the contestant, the less money he or she wins. To test her belief, she gathers data about the last eight winners of her favourite game show. She records their winnings in dollars and their years of education and performs a simple linear regression, with the Excel output provided .  \begin{array} { | c | c | c | }  \hline \text { Contestant } & \begin{array} { c }  \text { Years of } \\ \text { education } \end{array} & \text { Winnings } \\ \hline 1 & 11 & 750 \\ \hline 2 & 15 & 400 \\ \hline 3 & 12 & 600 \\ \hline 4 & 16 & 350 \\ \hline 5 & 11 & 800 \\ \hline 6 & 16 & 300 \\ \hline 7 & 13 & 650 \\ \hline 8 & 14 & 400 \\ \hline \end{array}    a. Determine the least squares regression line. b. Interpret the value of the slope of the regression line. c. Determine the standard error of estimate, and describe what this statistic tells you about the regression line. d. Interpret the coefficient of correlation a. Determine the least squares regression line.
b. Interpret the value of the slope of the regression line.
c. Determine the standard error of estimate, and describe what this statistic tells you about the regression line.
d. Interpret the coefficient of correlation

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Definitions:

Electric Shock

A sudden discharge of electricity through a part of the body, which can be used therapeutically or may occur accidentally.

Scoldings

Verbal reprimands or expressions of disapproval, often used as a form of discipline or correction.

Negative Reinforcement

Negative reinforcement involves the removal of an unpleasant stimulus to increase the likelihood of a particular behavior being repeated.

Removal

The act or process of taking something away or eliminating it.

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