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 (43.96 KiB) Viewed 22 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 125 136 148 161 176 188 x 10 12 14 16 18 20 (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 can conclude that the model specifies a useful linear relationship at a = 0.01. a = (b) Estimate o? 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). selßi = i se(Bo) = i (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 not enough 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.