f. Make a histogram of the residuals. Which plot is correct? Residual plot 1 Residual plot Normal Residual plot 2 Residual plot Normal 5.0 25 20 1.3 10 as 0.0 0.0 Which plot is correct? Residual Mean 40422-52 10 2000 -2000 1000 2000 Residual Men 402-12 ཧཱུྃ་ཧཱུྃ་ཧཱུྃ་ཤཾ་ཀྲྀ་ཧཱུཾ་སྒོ Residual plot 3 Residual plot 2000 -3000 3000 2000 Residual Mean An-12 D N 4249 g. Make a scatter diagram of the residual values versus the fitted values. Which plot is correct? Residuals vs Fits 1 Residuals vs. Fits Residuals vs Fits 2 Residuals vs. Fits 2000 1300 1000- 300 500 -2000 -03 35000 40000 45000 30000 35000 40000 45000 50000 FITS FITS Which plot is correct? 5000 2000 1000 -1000 Residuals vs Fits 3 Residuals vs. Fits 35000 37500 40000 42500 FITS 47500 50000

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 6SGR
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Question

A regional planner is studying the demographics of nine counties in the eastern region of an Atlantic seaboard state. She has gathered the following data:

County Median Income Median Age Coastal
A $ 48,157 57.7 1
B 48,568 60.7 1
C 46,816 47.9 1
D 34,876 38.4 0
E 35,478 42.8 0
F 34,465 35.4 0
G 35,026 39.5 0
H 38,599 65.6 0
I 33,315 27.0 0

a. Is there a linear relationship between the median income and median age?

Yes/No. The correlation of Income and Median Age is ___
 

b. Which variable is the "dependent" variable?

Which variable is the "dependent" variable? Median age/Median Income

c-1. Use regression analysis to determine the relationship between median income and median age.

Income = ____ + ____ Median Age

c-2. Interpret the value of the slope in a simple regression equation.

For each year increase/decrease in age, the income increases $____ on average.

d. Include the aspect that the county is "coastal" or not in a multiple linear regression analysis using a "dummy" variable.

Income = _____ + $____ Median Age + _____ Costal 

e. Test each of the individual coefficients to see if they are significant.

Predictor t p-value
Constant    
Median Age    
Coastal    

f. Make a histogram of the residuals. Which plot is correct?

 

g. Make a scatter diagram of the residual values versus the fitted values. Which plot is correct?

 
f. Make a histogram of the residuals. Which plot is correct?
Residual plot 1
Residual plot
Normal
Residual plot 2
Residual plot
Normal
5.0
25
20
1.3
10
as
0.0
0.0
Which plot is correct?
Residual
Mean 40422-52
10
2000
-2000
1000
2000
Residual
Men 402-12
ཧཱུྃ་ཧཱུྃ་ཧཱུྃ་ཤཾ་ཀྲྀ་ཧཱུཾ་སྒོ
Residual plot 3
Residual plot
2000
-3000
3000
2000
Residual
Mean An-12
D
N
4249
Transcribed Image Text:f. Make a histogram of the residuals. Which plot is correct? Residual plot 1 Residual plot Normal Residual plot 2 Residual plot Normal 5.0 25 20 1.3 10 as 0.0 0.0 Which plot is correct? Residual Mean 40422-52 10 2000 -2000 1000 2000 Residual Men 402-12 ཧཱུྃ་ཧཱུྃ་ཧཱུྃ་ཤཾ་ཀྲྀ་ཧཱུཾ་སྒོ Residual plot 3 Residual plot 2000 -3000 3000 2000 Residual Mean An-12 D N 4249
g. Make a scatter diagram of the residual values versus the fitted values. Which plot is correct?
Residuals vs Fits 1
Residuals vs. Fits
Residuals vs Fits 2
Residuals vs. Fits
2000
1300
1000-
300
500
-2000
-03
35000
40000
45000
30000
35000
40000
45000
50000
FITS
FITS
Which plot is correct?
5000
2000
1000
-1000
Residuals vs Fits 3
Residuals vs. Fits
35000
37500
40000
42500
FITS
47500
50000
Transcribed Image Text:g. Make a scatter diagram of the residual values versus the fitted values. Which plot is correct? Residuals vs Fits 1 Residuals vs. Fits Residuals vs Fits 2 Residuals vs. Fits 2000 1300 1000- 300 500 -2000 -03 35000 40000 45000 30000 35000 40000 45000 50000 FITS FITS Which plot is correct? 5000 2000 1000 -1000 Residuals vs Fits 3 Residuals vs. Fits 35000 37500 40000 42500 FITS 47500 50000
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