In Washington, DC (not included in the data set) in 2020 the percentage of people living in poverty was 15.0%. Use the regression equation to predict the corresponding value of the response variable (be sure to show your work). Write a sentence to interpret your result. Is your prediction an example of interpolation or extrapolation? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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  1. In Washington, DC (not included in the data set) in 2020 the percentage of people living in poverty was 15.0%. Use the regression equation to predict the corresponding value of the response variable (be sure to show your work). Write a sentence to interpret your result. Is your prediction an example of interpolation or extrapolation? Explain.
Two Quantitative Variables
Select data Choose
Enter data
PovPct BirthRate
14.9
9.6
12.8
15.2
11.5
9.7
10.9
12.4
24.8
17.7
16.6
27.8
11
12.5
7.6
14.6
15.2
Rossman/Chance Applet Collec
(Explanatory, Response)
Use Data Clear
n = 50
Show descriptive statistics:
PovPct: mean-11.61, SD-2.60
BirthRate: mean-15.65, SD-5.66
Explore lines
Show Movable Line: O
Results
BirthRate
28
2
14
7
12
Povpct
Show data options: O
16
20
Show Regression Line:
BirthRate^= -5.10 +1.79 x PovPct
Show Residuals: O
Show Squared Residuals:
Correlation coefficient: -0.819
R-squared: O
Regression SE: O
Design population for random sampling: Regression table:
Design population
Term
Coeff SE t-stat p-value
Intercept -5.10 2.150 -2.37 0.0218
PovPct
1.79 0.181 9.88
<0.0001
Transcribed Image Text:Two Quantitative Variables Select data Choose Enter data PovPct BirthRate 14.9 9.6 12.8 15.2 11.5 9.7 10.9 12.4 24.8 17.7 16.6 27.8 11 12.5 7.6 14.6 15.2 Rossman/Chance Applet Collec (Explanatory, Response) Use Data Clear n = 50 Show descriptive statistics: PovPct: mean-11.61, SD-2.60 BirthRate: mean-15.65, SD-5.66 Explore lines Show Movable Line: O Results BirthRate 28 2 14 7 12 Povpct Show data options: O 16 20 Show Regression Line: BirthRate^= -5.10 +1.79 x PovPct Show Residuals: O Show Squared Residuals: Correlation coefficient: -0.819 R-squared: O Regression SE: O Design population for random sampling: Regression table: Design population Term Coeff SE t-stat p-value Intercept -5.10 2.150 -2.37 0.0218 PovPct 1.79 0.181 9.88 <0.0001
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