A runner was tested on a treadmill. During the test, his speed x (in km/h) and his heart rate y were measured. The resul

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A Runner Was Tested On A Treadmill During The Test His Speed X In Km H And His Heart Rate Y Were Measured The Resul 1 (59.69 KiB) Viewed 27 times

A runner was tested on a treadmill. During the test, his speed x (in km/h) and his heart rate y were measured. The results are shown in the table. y 124 138 148 161 177 188 11 13 15 17 19 21 (a) Test for the significance of regression using the analysis of variance with a = 0.01. 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 = 0.01. (b) Estimate . Round your answer to three decimal places (e.g. 98.765). (c) Estimate the standard error of the slope and intercept in this model. Round your answers to three decimal places (e.g.98.765). se(B) = 0 = se = (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 = 0.01. 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 = 0.01.