The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. X y 29.4 4.1 14.5 25.3 9.5 20.5 10.2 12 -3.4 27.7 13.6 1.6 19.5 11.8 21.8 23.7 a. Develop a simple linear regression equation for these data. b. Determine the predicted y value when x = 11. c. Estimate the change in the y variable resulting from the increase in the x variable of 10 units. d. Conduct a hypothesis test to determine if an increase of 1 unit in the x variable will result in the decrease of the average value of the y variable. Use a significance of 0.025.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The data shown below for the dependent variable, y, and the
independent variable, x, have been collected using simple random sampling.
X
29.4 4.1 14.5 25.3 9.5 20.5 10.2 12
y -3.4 27.7 13.6 1.6 19.5 11.8 21.8 23.7
a. Develop a simple linear regression equation for these data.
b. Determine the predicted y value when x = 11.
c. Estimate the change in the y variable resulting from the increase in the x
variable of 10 units.
d. Conduct a hypothesis test to determine if an increase of 1 unit in the x
variable will result in the decrease of the average value of the y variable.
a significance of 0.025.
Transcribed Image Text:The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. X 29.4 4.1 14.5 25.3 9.5 20.5 10.2 12 y -3.4 27.7 13.6 1.6 19.5 11.8 21.8 23.7 a. Develop a simple linear regression equation for these data. b. Determine the predicted y value when x = 11. c. Estimate the change in the y variable resulting from the increase in the x variable of 10 units. d. Conduct a hypothesis test to determine if an increase of 1 unit in the x variable will result in the decrease of the average value of the y variable. a significance of 0.025.
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Follow-up Question
The data shown below for the dependent variable, y, and the
independent variable, x, have been collected using simple random sampling.
X
y
29.4 4.1 14.5 25.3 9.5 20.5 10.2 12
-3.4 27.7 13.6 1.6
11.8 21.8 23.7
19.5
Transcribed Image Text:The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. X y 29.4 4.1 14.5 25.3 9.5 20.5 10.2 12 -3.4 27.7 13.6 1.6 11.8 21.8 23.7 19.5
d. Conduct a hypothesis test to determine if an increase of 1 unit in the x
variable will result in the decrease of the average value of the y variable.
Use a significance of 0.025.
Transcribed Image Text:d. Conduct a hypothesis test to determine if an increase of 1 unit in the x variable will result in the decrease of the average value of the y variable. Use a significance of 0.025.
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