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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. 31.6 5.8 14.4 24.8 19.1 11 8.8 14.4 25.8 27.5 . Develop a simple linear regression equation for these data. 8.4 - 6.1 29.6 15.4 2.7 23.5 y . Determine the predicted y value when x = 10. . Estimate the change in the y variable resulting from the increase in the x variable of 8 units.

The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. 31.6 5.8 14.4 24.8 19.1 11 8.8 14.4 25.8 27.5 . Develop a simple linear regression equation for these data. 8.4 - 6.1 29.6 15.4 2.7 23.5 y . Determine the predicted y value when x = 10. . Estimate the change in the y variable resulting from the increase in the x variable of 8 units.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Calculate the simple linear regression test statistic t. t= (Round to two decimal places as needed.) Now find the p-value. p-value = (Round to three decimal places as needed.) Since the p-value less than the level of significance, V the null hypothesis. Conclude that an increase of 1 unit in the x variable V result in the decrease of the average value of the y variable.
Transcribed Image Text:Calculate the simple linear regression test statistic t. t= (Round to two decimal places as needed.) Now find the p-value. p-value = (Round to three decimal places as needed.) Since the p-value less than the level of significance, V the null hypothesis. Conclude that an increase of 1 unit in the x variable V result in the decrease of the average value of the y variable.
The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. 11 O 31.6 5.8 14.4 24.8 8.4 19.1 8.8 - 6.1 29.6 15.4 2.7 23.5 14.4 25.8 27.5 a. Develop a simple linear regression equation for these data. b. Determine the predicted y value when x = 10. c. Estimate the change in the y variable resulting from the increase in the x variable of 8 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. a. Complete the linear regression equation below. (Round to two decimal places as needed.) b. The predicted y value when x= 10 is (Round to two decimal places as needed.) c. The change in the y variable resulting from the increase in the x variable of 8 units is (Round to one decimal place as needed.) d. What are the appropriate hypotheses to test? O A. Ho: B, 20 HA: P, <0 O B. Ho: B, 50 HẠ: B, >0 O E. Ho: B, =0 HẠ: B, #0 O C. Ho: B, >0 HẠ: BI S0 O F. Ho: P, <0 Hạ: B, 20 O D. Ho: B, #0 HẠ: B, = 0
Transcribed Image Text:The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. 11 O 31.6 5.8 14.4 24.8 8.4 19.1 8.8 - 6.1 29.6 15.4 2.7 23.5 14.4 25.8 27.5 a. Develop a simple linear regression equation for these data. b. Determine the predicted y value when x = 10. c. Estimate the change in the y variable resulting from the increase in the x variable of 8 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. a. Complete the linear regression equation below. (Round to two decimal places as needed.) b. The predicted y value when x= 10 is (Round to two decimal places as needed.) c. The change in the y variable resulting from the increase in the x variable of 8 units is (Round to one decimal place as needed.) d. What are the appropriate hypotheses to test? O A. Ho: B, 20 HA: P, <0 O B. Ho: B, 50 HẠ: B, >0 O E. Ho: B, =0 HẠ: B, #0 O C. Ho: B, >0 HẠ: BI S0 O F. Ho: P, <0 Hạ: B, 20 O D. Ho: B, #0 HẠ: B, = 0
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