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14. What proportion of the variation in the variable Deaths is explained by the explanatory variables Children and Income? A) 0.059 C) 0.470 B) 0.159 D) 0.941 Answer:

14. What proportion of the variation in the variable Deaths is explained by the explanatory variables Children and Income? A) 0.059 C) 0.470 B) 0.159 D) 0.941 Answer:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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Hi I know that you can’t answer all questions. Can you just answer question 14 please.
11. Are the data statistically significant at the 10% significance level? Hint: You do not need to calculate the actual value of the chi-square statistic to answer this question. A) Yes B) No C) This cannot be determined from the information given. Answer: Use the following to answer questions 12–17: A researcher is investigating possible explanations for deaths in traffic accidents. He examined data from 1991 for each of the 50 states plus Washington, D.C. The data included information on the following variables: Deaths The number of deaths in traffic accidents The average income per family The number of children (in multiples of Income Children 100,000) between the ages of 1 and 14 in the state As part of his investigation he ran the following multiple regression models: Deaths = b, + b,(Children) + b,(Income) + e, where the deviations e, were assumed to be independent and Normally distributed with mean 0 and standard deviation s. This model was fit to the data using the method of least squares. The following results were obtained from statistical software: Source Sum of Squares df Model 48362278 2 Error 3042063 48 Total. 51404341. 50 Variable Coefficient Standard Error Constant 593.829 204.114 Children 90.629 3.305 Income -0.039 0.015 12. Suppose we wish to test the hypotheses H,: b, = b, = 0 versus H: at least one of the b, is not 0 using the ANOVA F test. What is the value of the F statistic? C) 24 D) 381.5 A) 0.94 B) 15.9 Answer: 13. What can we say about the P-value for the ANOVA F test? A) P-value < 0.001 C) 0.005 < P-value <0.01 B) 0.001 < P-value < 0.005 Answer: D) P-value >0.01 14. What proportion of the variation in the variable Deaths is explained by the explanatory variables Children and Income? A) 0.059 C) 0.470 B) 0.159 D) 0.941 Answer: Use the following additional information to answer questions 15-17:
Transcribed Image Text:11. Are the data statistically significant at the 10% significance level? Hint: You do not need to calculate the actual value of the chi-square statistic to answer this question. A) Yes B) No C) This cannot be determined from the information given. Answer: Use the following to answer questions 12–17: A researcher is investigating possible explanations for deaths in traffic accidents. He examined data from 1991 for each of the 50 states plus Washington, D.C. The data included information on the following variables: Deaths The number of deaths in traffic accidents The average income per family The number of children (in multiples of Income Children 100,000) between the ages of 1 and 14 in the state As part of his investigation he ran the following multiple regression models: Deaths = b, + b,(Children) + b,(Income) + e, where the deviations e, were assumed to be independent and Normally distributed with mean 0 and standard deviation s. This model was fit to the data using the method of least squares. The following results were obtained from statistical software: Source Sum of Squares df Model 48362278 2 Error 3042063 48 Total. 51404341. 50 Variable Coefficient Standard Error Constant 593.829 204.114 Children 90.629 3.305 Income -0.039 0.015 12. Suppose we wish to test the hypotheses H,: b, = b, = 0 versus H: at least one of the b, is not 0 using the ANOVA F test. What is the value of the F statistic? C) 24 D) 381.5 A) 0.94 B) 15.9 Answer: 13. What can we say about the P-value for the ANOVA F test? A) P-value < 0.001 C) 0.005 < P-value <0.01 B) 0.001 < P-value < 0.005 Answer: D) P-value >0.01 14. What proportion of the variation in the variable Deaths is explained by the explanatory variables Children and Income? A) 0.059 C) 0.470 B) 0.159 D) 0.941 Answer: Use the following additional information to answer questions 15-17:
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