Game Show Winnings & Education an Ardent Fan of Television

question 15

Essay

Game Show Winnings & Education 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 favorite game show. She records their winnings in dollars and the number of years of education. The results are as follows. {Game Show Winnings & Education Narrative} Do the tests r and b ₁ in the previous two questions provide the same results? Explain.

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Definitions:

Significance Level

The probability of rejecting the null hypothesis when it is actually true, often denoted by alpha.

ANOVA Table

A table that displays the output of an Analysis of Variance, which shows statistical information such as sums of squares, degrees of freedom, mean squares, and F-statistics.

Mean Squares

The average of the squares of the deviations or differences from the mean, often used in variance analysis.

Sum of Squares

A statistical measure used in regression analysis and ANOVA; it quantifies the total variance in the data by summing squared deviations from the mean.