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In New Jersey, banks have been charged with withdrawing from counties having a high percentage of minorities. To substantiate this charge, P. D'Ambrosio and S. Chambers (1995) present the data in the following table concerning the percentage, x, of minority population and the number of county residents, y, per bank branch in each of New Jersey's 21 counties. County Atlantic Bergen Burlington Camden Cape May Cumberland Essex Gloucester Hudson Hunterdon Mercer Middlesex Monmouth Morris Ocean Passaic Salem Somerset Sussex Union Warren Percentage of Minority Population, x 23.3 13.0 17.8 23.4 7.3 26.5 48.8 10.7 33.2 3.7 24.9 18.1 12.6 8.2 4.7 28.1 16.7 12.0 2.4 25.6 2.8 Number of Residents Per Bank Branch, y 3,073 2,095 2,905 3,330 1,321 2,557 3,474 3,068 3,683 1,998 2,607 3,154 2,609 2,253 2,317 3,307 2,511 2,333 2,568 3,048 2,349 (a) By a scatter plot discuss why a simple linear regression can explain the relationship between x and y. (b) Use R (minitab,...) and fit a simple linear regression (c) Interpret the regression coefficients (d) Test significance of the coefficients (e) For 50% minority of the population, predict the number of residents per bank branch.

In New Jersey, banks have been charged with withdrawing from counties having a high percentage of minorities. To substantiate this charge, P. D'Ambrosio and S. Chambers (1995) present the data in the following table concerning the percentage, x, of minority population and the number of county residents, y, per bank branch in each of New Jersey's 21 counties. County Atlantic Bergen Burlington Camden Cape May Cumberland Essex Gloucester Hudson Hunterdon Mercer Middlesex Monmouth Morris Ocean Passaic Salem Somerset Sussex Union Warren Percentage of Minority Population, x 23.3 13.0 17.8 23.4 7.3 26.5 48.8 10.7 33.2 3.7 24.9 18.1 12.6 8.2 4.7 28.1 16.7 12.0 2.4 25.6 2.8 Number of Residents Per Bank Branch, y 3,073 2,095 2,905 3,330 1,321 2,557 3,474 3,068 3,683 1,998 2,607 3,154 2,609 2,253 2,317 3,307 2,511 2,333 2,568 3,048 2,349 (a) By a scatter plot discuss why a simple linear regression can explain the relationship between x and y. (b) Use R (minitab,...) and fit a simple linear regression (c) Interpret the regression coefficients (d) Test significance of the coefficients (e) For 50% minority of the population, predict the number of residents per bank branch.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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In New Jersey, banks have been charged with withdrawing from counties having a high percentage of minorities. To substantiate this charge, P. D'Ambrosio and S. Chambers (1995) present the data in the following table concerning the percentage, x, of minority population and the number of county residents, y, per bank branch in each of New Jersey's 21 counties. County Atlantic Bergen Burlington Camden Cape May Cumberland Essex Gloucester Hudson Hunterdon Mercer Middlesex Monmouth Morris Ocean Passaic Salem Somerset Sussex Union Warren Percentage of Minority Population, x 23.3 13.0 17.8 23.4 7.3 26.5 48.8 10.7 33.2 3.7 24.9 18.1 12.6 8.2 4.7 28.1 16.7 12.0 2.4 25.6 2.8 Number of Residents Per Bank Branch, y 3,073 2,095 2,905 3,330 1,321 2,557 3,474 3,068 3,683 1,998 2,607 3,154 2,609 2,253 2,317 3,307 2,511 2,333 2,568 3,048 2,349 (a) By a scatter plot discuss why a simple linear regression can explain the relationship between x and y. (b) Use R (minitab,...) and fit a simple linear regression (c) Interpret the regression coefficients (d) Test significance of the coefficients (e) For 50% minority of the population, predict the number of residents per bank branch. (f) Find a 95% confidence interval for the future average number of residents per bank branch when 50% of the population is minority. (g) Find a 95% prediction interval for the future average number of residents per bank branch when 50% of the population is minority. (h) Make a comparison between confidence interval and prediction interval
Transcribed Image Text:In New Jersey, banks have been charged with withdrawing from counties having a high percentage of minorities. To substantiate this charge, P. D'Ambrosio and S. Chambers (1995) present the data in the following table concerning the percentage, x, of minority population and the number of county residents, y, per bank branch in each of New Jersey's 21 counties. County Atlantic Bergen Burlington Camden Cape May Cumberland Essex Gloucester Hudson Hunterdon Mercer Middlesex Monmouth Morris Ocean Passaic Salem Somerset Sussex Union Warren Percentage of Minority Population, x 23.3 13.0 17.8 23.4 7.3 26.5 48.8 10.7 33.2 3.7 24.9 18.1 12.6 8.2 4.7 28.1 16.7 12.0 2.4 25.6 2.8 Number of Residents Per Bank Branch, y 3,073 2,095 2,905 3,330 1,321 2,557 3,474 3,068 3,683 1,998 2,607 3,154 2,609 2,253 2,317 3,307 2,511 2,333 2,568 3,048 2,349 (a) By a scatter plot discuss why a simple linear regression can explain the relationship between x and y. (b) Use R (minitab,...) and fit a simple linear regression (c) Interpret the regression coefficients (d) Test significance of the coefficients (e) For 50% minority of the population, predict the number of residents per bank branch. (f) Find a 95% confidence interval for the future average number of residents per bank branch when 50% of the population is minority. (g) Find a 95% prediction interval for the future average number of residents per bank branch when 50% of the population is minority. (h) Make a comparison between confidence interval and prediction interval
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In New Jersey, banks have been charged with withdrawing from counties having a high percentage of minorities. To substantiate this charge, P. D'Ambrosio and S. Chambers (1995) present the data in the following table concerning the percentage, x, of minority population and the number of county residents, y, per bank branch in each of New Jersey's 21 counties. County Atlantic Bergen Burlington Camden Cape May Cumberland Essex Gloucester Hudson Hunterdon Mercer Middlesex Monmouth Morris Ocean Passaic Salem Somerset Sussex Union Warren Percentage of Minority Population, x 23.3 13.0 17.8 23.4 7.3 26.5 48.8 10.7 33.2 3.7 24.9 18.1 12.6 8.2 4.7 28.1 16.7 12.0 2.4 25.6 2.8 Number of Residents Per Bank Branch, y 3,073 2,095 2,905 3,330 1,321 2,557 3,474 3,068 3,683 1,998 2,607 3,154 2,609 2,253 2,317 3,307 2,511 2,333 2,568 3,048 2,349 (a) By a scatter plot discuss why a simple linear regression can explain the relationship between x and y. (b) Use R (minitab,...) and fit a simple linear regression (c) Interpret the regression coefficients (d) Test significance of the coefficients (e) For 50% minority of the population, predict the number of residents per bank branch. (f) Find a 95% confidence interval for the future average number of residents per bank branch when 50% of the population is minority. (g) Find a 95% prediction interval for the future average number of residents per bank branch when 50% of the population is minority. (h) Make a comparison between confidence interval and prediction interval
Transcribed Image Text:In New Jersey, banks have been charged with withdrawing from counties having a high percentage of minorities. To substantiate this charge, P. D'Ambrosio and S. Chambers (1995) present the data in the following table concerning the percentage, x, of minority population and the number of county residents, y, per bank branch in each of New Jersey's 21 counties. County Atlantic Bergen Burlington Camden Cape May Cumberland Essex Gloucester Hudson Hunterdon Mercer Middlesex Monmouth Morris Ocean Passaic Salem Somerset Sussex Union Warren Percentage of Minority Population, x 23.3 13.0 17.8 23.4 7.3 26.5 48.8 10.7 33.2 3.7 24.9 18.1 12.6 8.2 4.7 28.1 16.7 12.0 2.4 25.6 2.8 Number of Residents Per Bank Branch, y 3,073 2,095 2,905 3,330 1,321 2,557 3,474 3,068 3,683 1,998 2,607 3,154 2,609 2,253 2,317 3,307 2,511 2,333 2,568 3,048 2,349 (a) By a scatter plot discuss why a simple linear regression can explain the relationship between x and y. (b) Use R (minitab,...) and fit a simple linear regression (c) Interpret the regression coefficients (d) Test significance of the coefficients (e) For 50% minority of the population, predict the number of residents per bank branch. (f) Find a 95% confidence interval for the future average number of residents per bank branch when 50% of the population is minority. (g) Find a 95% prediction interval for the future average number of residents per bank branch when 50% of the population is minority. (h) Make a comparison between confidence interval and prediction interval
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