Quiz: Week 3: MyStatLab Quiz This Question: 7 pts Time Remaining: 0106 13 of 14

Question

Quiz: Week 3: MyStatLab Quiz This Question: 7 pts Time Remaining: 0106 13 of 14 This Quiz Use the value of the linear correlation coefficlent to calculate the coeficient of determination What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r»-? 274 Calculate the coefficient of determination Round to three decimal places as needed What does this tell you about the explained variation of the data about the regression ine s of the variation can be explained by the regression in Round to one decimal place as needed) About the unerplained varlation? ot the variation is unexplained and is due to other factors or to sampling error Round to on decienal lace as nended

Explanation / Answer

given r=-0.274

coefficent of determination=r2=(-0.274)2=0.075

The coefficient of determination represents the percent of the data that is the closest
      to the line of best fit.

r = -0.274, then r 2 = 0.075, which means that 7.5% of the total variation in y can be explained by the linear relationship between x and y (as described by the regression equation).

The other 92.5% of the total variation in y remains unexplained.

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