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. 122 132 143 160 174 189 11 13 15 17 19 (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).
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. 122 132 143 160 174 189 11 13 15 17 19 (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).
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
Related questions
Question
![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 122 | 132
143
160 174
189
11
13
15
17
19
(a) Test for the significance of regression using the analysis of variance with a
that the model specifies a useful linear relationship between these two variables?
0.01. Find the P-value for this test. Can you conclude
We
v 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(Bi) -](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5a45af7-29d4-490a-81ed-fdc756135cd6%2F705ae0cc-b41e-49dc-958e-f944df0a14ce%2Fh0xq5gc_processed.jpeg&w=3840&q=75)
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 122 | 132
143
160 174
189
11
13
15
17
19
(a) Test for the significance of regression using the analysis of variance with a
that the model specifies a useful linear relationship between these two variables?
0.01. Find the P-value for this test. Can you conclude
We
v 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(Bi) -
![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).
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).
se(i1)
()
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
0.01. Suppose that the alternative hypothesis is that the average increase of the runner's heart rate in this situation does not
a =
equal 7 points.
There is
v 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5a45af7-29d4-490a-81ed-fdc756135cd6%2F705ae0cc-b41e-49dc-958e-f944df0a14ce%2Frnrejrb_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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).
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).
se(i1)
()
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
0.01. Suppose that the alternative hypothesis is that the average increase of the runner's heart rate in this situation does not
a =
equal 7 points.
There is
v 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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