a. Explanation The turnover margin and the number of wins of twelve football teams are given in the following table. Calculation: Let the turnover margin be the variable x and the number of wins be y . The correlation coefficient ( r ) is given by the formula, r = 1 n − 1 ∑ ( x − x ¯ s x ) ( y − y ¯ s y ) Where s x and s y is the standard deviation of x and y . The means and the standard deviations of both variables can be obtained by using the Minitab. Then, x ¯ = 0.5 s x = 9.16 and y ¯ = 7.667 s y = 2.871 Then, a table should be constructed to calculate r as follows. x y x − x ¯ s x y − y ¯ s y ( x − x ¯ s x ) ( y − y ¯ s y ) 22 13 2.3471 1.8577 4.3619 6 12 0.6004 1.5093 0.9063 − 3 10 − 0.3821 0.8127 − 0.3105 − 2 9 − 0.2729 0.4644 − 0.1268 − 1 8 − 0.1638 0.1161 − 0.0190 5 7 0.4913 − 0.2322 − 0.4441 − 11 7 − 1 b. To determine To graph: The residual plot for the given data set and check the linearity of the plot. c. To determine To find: The teams that won more games than the predicted wins over the turnover margin.

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Chapter 4, Problem 7RE

To determine

To calculate: The least-square regression line of the given data set.

To determine

To graph: The residual plot for the given data set and check the linearity of the plot.

To determine

To find: The teams that won more games than the predicted wins over the turnover margin.

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The least-square regression line of the given data set.

Solution Summary: The author explains the least-square regression line of the given data set. The turnover margin and the number of wins of twelve football teams are given in the following table.

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To calculate: The least-square regression line of the given data set.

To graph: The residual plot for the given data set and check the linearity of the plot.

To find: The teams that won more games than the predicted wins over the turnover margin.

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