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The BODYFAT dataset was developed using randomly selected patients who were treated by a particular sports injury rehabilitation group. The purpose was to determine if

The BODYFAT dataset was developed using randomly selected patients who were treated by a particular sports injury rehabilitation group. The purpose was to determine if girth (in centimeters) could be used to predict body fat (as a percentage) and to estimate the percentage of body fat (with 99% confidence) of a person who has a girth of 150cm. Girth is easily and accurately evaluated with a tape measure. Body fat percentage is measured via hydrostatic weighing, but this is too expensive and impractical to be easily deployed in most physicians' offices. Please conduct this analysis using a 1% significance level.

Girth 99.1 76 83.1 88.5 118 104.3 79.5 108.8 81.9 76.6 88.7 90.9 89 78 83.2 85.6 90.3 104.5 95.6 103.1 89.9 104 95.3 105 83.5 86.7 93 76 106.1 109.3 104.3 100.5 77.9 101.6 99.7 96.7 95.8 104.8 92.4 95 86 90.6 105.5 79.4 126.2 98 95.5 73.7 86.4 122.1

Fat% 19 8.4 9.2 21.8 33.6 31.7 6.4 24.6 4.1 12.8 12.3 8.5 26 7.3 13.4 22.3 20.2 16.8 18.4 27.7 17.4 26.4 11.3 27.1 17.2 10.7 18.1 13.7 28.1 23 30.8 16.5 7.4 18.2 25.1 16.1 30.2 25.4 25.9 21.6 8.8 19.5 31 10.4 33.1 20.2 21.9 11.2 10.9 45.1

Please indicate the value of the test statistic (showing 2 decimal places) that indicates that this regression is useful.

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