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A sociologist investigating the recent upward shift in homicide trends throughout the country studied the extent to which the homicide rate per 100 000 people (y) is associated with population size in thousands (x), the rate of unemployment (x,), and the percentage of families with annual incomes less than R24 000 (x3). Data are provided in the table for a sample of 20 cities. A regression analysis was performed on the data and the results indicated that the interaction model E(v) = B, + B + Bx+ Bx; + B,xx2+ B;xX3 + Bx,x3 was a good model to fit to the data. %3D However, the residual plot for this model indicates that heteroscedasticity may exists for the percentage of families with annual incomes less than R24 000.

A sociologist investigating the recent upward shift in homicide trends throughout the country studied the extent to which the homicide rate per 100 000 people (y) is associated with population size in thousands (x), the rate of unemployment (x,), and the percentage of families with annual incomes less than R24 000 (x3). Data are provided in the table for a sample of 20 cities. A regression analysis was performed on the data and the results indicated that the interaction model E(v) = B, + B + Bx+ Bx; + B,xx2+ B;xX3 + Bx,x3 was a good model to fit to the data. %3D However, the residual plot for this model indicates that heteroscedasticity may exists for the percentage of families with annual incomes less than R24 000.

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
Section4.5: Correlation And Causation
Problem 2AGP
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y 11.2 13.4 40.7 5.3 24.8 587 643 635 692 1248 643 1964 1531 713 749 7895 762 2793 6.2 6.4 16.5 20.5 26.3 16.5 19.2 16.5 9.3 5.3 7.3 5.9 6.4 7.6 4.9 6.4 6.0 7.4 12.7 20.9 23.2 35.7 8.7 21.3 17.2 14.3 18.1 9.6 14.5 26.9 15.7 36.2 18.1 28.9 14.9 25.8 21.7 23.1 19.1 24.7 28.6 24.9 17.9 22.4 20.2 16.9 5.8 741 8.6 625 854 716 921 595 3353 6.5 8.3 6.7 8.6 8.4 6.7 25.7
Transcribed Image Text:y 11.2 13.4 40.7 5.3 24.8 587 643 635 692 1248 643 1964 1531 713 749 7895 762 2793 6.2 6.4 16.5 20.5 26.3 16.5 19.2 16.5 9.3 5.3 7.3 5.9 6.4 7.6 4.9 6.4 6.0 7.4 12.7 20.9 23.2 35.7 8.7 21.3 17.2 14.3 18.1 9.6 14.5 26.9 15.7 36.2 18.1 28.9 14.9 25.8 21.7 23.1 19.1 24.7 28.6 24.9 17.9 22.4 20.2 16.9 5.8 741 8.6 625 854 716 921 595 3353 6.5 8.3 6.7 8.6 8.4 6.7 25.7
A sociologist investigating the recent upward shift in homicide trends throughout the country studied the extent to which the homicide rate per 100 000 people (v) is associated with population size in thousands (x ), the rate of unemployment (x,), and the percentage of families with annual incomes less than R24 000 (x3). Data are provided in the table for a sample of 20 cities. A regression analysis was performed on the data and the results indicated that the interaction model E(y) = B,+ Bx + Bx, + Bx; + B,xqx,+ B;xx; + Bzxzx; was a good model to fit to the data. %3D However, the residual plot for this model indicates that heteroscedasticity may exists for the percentage of families with annual incomes less than R24 000. How do I Conduct a test for heteroscedasticity by dividing the data into two subsamples, x,21 and x, > 21 using MSE for the first subsample = 582.3, MSE for the second subsample = 364.7 and a= 0.05. And how do I explain my conclusion.
Transcribed Image Text:A sociologist investigating the recent upward shift in homicide trends throughout the country studied the extent to which the homicide rate per 100 000 people (v) is associated with population size in thousands (x ), the rate of unemployment (x,), and the percentage of families with annual incomes less than R24 000 (x3). Data are provided in the table for a sample of 20 cities. A regression analysis was performed on the data and the results indicated that the interaction model E(y) = B,+ Bx + Bx, + Bx; + B,xqx,+ B;xx; + Bzxzx; was a good model to fit to the data. %3D However, the residual plot for this model indicates that heteroscedasticity may exists for the percentage of families with annual incomes less than R24 000. How do I Conduct a test for heteroscedasticity by dividing the data into two subsamples, x,21 and x, > 21 using MSE for the first subsample = 582.3, MSE for the second subsample = 364.7 and a= 0.05. And how do I explain my conclusion.
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