esum the table. y 121 131 143 156 174 185 7 11 13 15 17 (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 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). se(,) (B.) : 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 = 0.01. 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.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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4

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
121 131
143 156 174 185
7
9.
11
13
15
17
(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 o².
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
i
se (P.)
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
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.
Transcribed Image Text: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 121 131 143 156 174 185 7 9. 11 13 15 17 (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 o². 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 i se (P.) 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 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.
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