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16. What is the value of R' in the simple linear regression model? A) 0.014 C) 0.688 B) 0.020 D) 0.941 Answer:

16. What is the value of R' in the simple linear regression model? A) 0.014 C) 0.688 B) 0.020 D) 0.941 Answer:

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Hi I know that you can’t answer all questions. Can you just answer question 16 please.
The researcher also ran the following simple linear regression model: Deaths = b, + b,(Income) + e; The following results were obtained from statistical software: Source Sum of Squares df 711680 1 50692661 49 Total. Model Error 51404341. 50 Variable Constant Coefficient 292.518 Standard Error 823.505 Income 0.050 0.060 15 Based on the above results, the researcher tested the hypotheses H,: b, = 0 versus H: b, 1 0. What do we know about the P-value of the test? A) B) 0.05 < P-value <0.10 P-value > 0.10 P-value < 0.025 C) 0.025 < P-value < 0.05 D) Answer: 16. What is the value of R' in the simple linear regression model? A) 0.014 C) 0.688 B) 0.020 D) 0.941 Answer: 17. Based on the above analyses, what can we conclude? A) The variable Income is statistically significant at level 0.05 as a predictor of the variable Deaths. B) The variable Income is statistically significant at level 0.05 as a predictor of the variable Deaths in a multiple regression model that includes the variable Children. C) The variable Income is not useful as a predictor of the variable Deaths and should be omitted from the analysis. The variable Children is not useful as a predictor of the variable Deaths, unless the variable Income is also present in the multiple regression model. D) Answer: Use the following scenario to answer questions 18-25: Battery life of MP3 players is of great concern to customers. A consumer group has tested four brands of such players to determine the battery life. Samples of players of each brand were fully charged and left to run at medium volume until the battery died. The number of hours that each player ran was recorded. The following graphs and tables from the analysis of the data are provided: 34 32- 30 28- 26- 24-
Transcribed Image Text:The researcher also ran the following simple linear regression model: Deaths = b, + b,(Income) + e; The following results were obtained from statistical software: Source Sum of Squares df 711680 1 50692661 49 Total. Model Error 51404341. 50 Variable Constant Coefficient 292.518 Standard Error 823.505 Income 0.050 0.060 15 Based on the above results, the researcher tested the hypotheses H,: b, = 0 versus H: b, 1 0. What do we know about the P-value of the test? A) B) 0.05 < P-value <0.10 P-value > 0.10 P-value < 0.025 C) 0.025 < P-value < 0.05 D) Answer: 16. What is the value of R' in the simple linear regression model? A) 0.014 C) 0.688 B) 0.020 D) 0.941 Answer: 17. Based on the above analyses, what can we conclude? A) The variable Income is statistically significant at level 0.05 as a predictor of the variable Deaths. B) The variable Income is statistically significant at level 0.05 as a predictor of the variable Deaths in a multiple regression model that includes the variable Children. C) The variable Income is not useful as a predictor of the variable Deaths and should be omitted from the analysis. The variable Children is not useful as a predictor of the variable Deaths, unless the variable Income is also present in the multiple regression model. D) Answer: Use the following scenario to answer questions 18-25: Battery life of MP3 players is of great concern to customers. A consumer group has tested four brands of such players to determine the battery life. Samples of players of each brand were fully charged and left to run at medium volume until the battery died. The number of hours that each player ran was recorded. The following graphs and tables from the analysis of the data are provided: 34 32- 30 28- 26- 24-
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