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6. A researcher is investigating whether population impacts homicide rate. He uses demographic data from Detroit, Michigan, to compare homicide rates and the number of the population. Population Size Homicide rate per 100,000 people 558,724 8.6 538,584 8.9 519,171 8.52 500,457 8.89 482,418 13.07 465,029 14.57 448,267 21.36 432,109 28.03 416,533 31.49 401,518 37.39 387,046 46.26 373,095 47.24 359,647 52.33 a. b. Use your calculator to construct a scatter plot of the data. What should the independent vari- able be? Why? Use your calculator's regression function to find the equation of the least-squares regression line. Add this to your scatter plot. c. Interpret the meaning of each of the following in the context of the question. i. The slope of the regression equation. ii. The y-intercept of the regression equation. iii. The correlation r. iv. The coefficient of determination r2. d. Do the data provide convincing evidence that there is a linear relationship between population size and homicide rate? Carry out an appropriate test at a significance level of 0.05 to help answer this question. /293/

6. A researcher is investigating whether population impacts homicide rate. He uses demographic data from Detroit, Michigan, to compare homicide rates and the number of the population. Population Size Homicide rate per 100,000 people 558,724 8.6 538,584 8.9 519,171 8.52 500,457 8.89 482,418 13.07 465,029 14.57 448,267 21.36 432,109 28.03 416,533 31.49 401,518 37.39 387,046 46.26 373,095 47.24 359,647 52.33 a. b. Use your calculator to construct a scatter plot of the data. What should the independent vari- able be? Why? Use your calculator's regression function to find the equation of the least-squares regression line. Add this to your scatter plot. c. Interpret the meaning of each of the following in the context of the question. i. The slope of the regression equation. ii. The y-intercept of the regression equation. iii. The correlation r. iv. The coefficient of determination r2. d. Do the data provide convincing evidence that there is a linear relationship between population size and homicide rate? Carry out an appropriate test at a significance level of 0.05 to help answer this question. /293/

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
Problem 8SGR
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6. A researcher is investigating whether population impacts homicide rate. He uses demographic data from Detroit, Michigan, to compare homicide rates and the number of the population. Population Size Homicide rate per 100,000 people 558,724 8.6 538,584 8.9 519,171 8.52 500,457 8.89 482,418 13.07 465,029 14.57 448,267 21.36 432,109 28.03 416,533 31.49 401,518 37.39 387,046 46.26 373,095 47.24 359,647 52.33 a. b. Use your calculator to construct a scatter plot of the data. What should the independent vari- able be? Why? Use your calculator's regression function to find the equation of the least-squares regression line. Add this to your scatter plot.
Transcribed Image Text:6. A researcher is investigating whether population impacts homicide rate. He uses demographic data from Detroit, Michigan, to compare homicide rates and the number of the population. Population Size Homicide rate per 100,000 people 558,724 8.6 538,584 8.9 519,171 8.52 500,457 8.89 482,418 13.07 465,029 14.57 448,267 21.36 432,109 28.03 416,533 31.49 401,518 37.39 387,046 46.26 373,095 47.24 359,647 52.33 a. b. Use your calculator to construct a scatter plot of the data. What should the independent vari- able be? Why? Use your calculator's regression function to find the equation of the least-squares regression line. Add this to your scatter plot.
c. Interpret the meaning of each of the following in the context of the question. i. The slope of the regression equation. ii. The y-intercept of the regression equation. iii. The correlation r. iv. The coefficient of determination r2. d. Do the data provide convincing evidence that there is a linear relationship between population size and homicide rate? Carry out an appropriate test at a significance level of 0.05 to help answer this question. /293/
Transcribed Image Text:c. Interpret the meaning of each of the following in the context of the question. i. The slope of the regression equation. ii. The y-intercept of the regression equation. iii. The correlation r. iv. The coefficient of determination r2. d. Do the data provide convincing evidence that there is a linear relationship between population size and homicide rate? Carry out an appropriate test at a significance level of 0.05 to help answer this question. /293/
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