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While browsing through the magazine rack at a bookstore, a statistician decides to examine the relationship between the price of a magazine and the percentage
While browsing through the magazine rack at a bookstore, a statistician decides to examine the relationship between the price of a magazine and the percentage of the magazine space that contains advertisements. The data collected for eight magazines are given in the following table. Here price is the dependent variable. Percentage 36 44 56 45 67 27 60 35 containing ads Price ($) 5.50 6.95 4.95 5.75 3.95 8.25 5.50 6.75 a. Find the standard deviation of errors. Round your answer to two decimal places. b. Compute the coefficient of determination. What percentage of the variation in price is explained by the least squares regression of price on the percentage of magazine space containing ads? What percentage of this variation is not explained? Round your answer for ' to two decimal places, and your answers for the percentages to the nearest integer. 12 = i i %% is explained by the least squares regression. % is not explained by the least squares regression
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