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A runner was tested on a treadmill. During the test, his speed x (in km/h) and his heart rate ywere measured. The results are shown in the table. y 124 134 147 161 176 190 x 11 13 15 17 19 21 (a) Test for the significance of regression using the analysis of variance with a = 0.05. Find the P-value for this test. Can you conclude that the model specifies a useful linear relationship between these two variables? We conclude that the model specifies a useful linear relationship at a = 0.05. (b) Estimate o? Round your answer to three decimal places (e.g. 98.765). i (c) Estimate the standard error of the slope and intercept in this model. Round your answers to three decimal places (e.g. 98.765). j se() = se(Bo) = (d) Test the hypothesis that the increase in the speed of 1 km/h results in the runner's heart rate average increase of 7 points at a = 0.05. Suppose that the alternative hypothesis is that the average increase of the runner's heart rate in this situation does not equal 7 points. There is evidence to conclude that the increase in the speed of 1 km/h does not result in the runner's heart rate average increase of 7 points at a = 0.05.

(a) Test for the significance of regression using the analysis of variance with a = 0.05. Find the P-value that the model specifies a useful linear relationship between these two variables? We conclude that the model specifies a useful linear relationship at a = 0.05. cannot (b) : can Rounu your answer to three decimal places (e.g. 98.765). 1

There is evidence to conclude that the increase in the speed of 1 km/h does not average i ats at a = 0.05. enough not enough Save for Later Atte