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A regional planner employed by a public university 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
 

 

 

  Click here for the Excel Data File
 
a. Is there a linear relationship between the median income and median age? (Round your answer to 3 decimal places.)
 

 


 
b. Which variable is the "dependent" variable?
 
multiple choice 1

  • Median Age

  • Median Income


 
c-1.
 Use regression analysis to determine the relationship between median income and median age. (Round your answer to the nearest whole number.)
 

 


 
c-2.
 Interpret the value of the slope in a simple regression equation. (Round your answer to the nearest whole number.)
 

 


 
d. Include the aspect that the county is "coastal" or not in a multiple linear regression analysis using a "dummy" variable. (Round your answers to the nearest whole number.)
 

 


 
e. Test each of the individual coefficients to see if they are significant. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)
 

 


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

Residual plot 1 Residual plot 2 Residual plot 3
   

 


multiple choice 2

  • Residual plot 1

  • Residual plot 2

  • Residual plot 3


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

Residuals vs Fits 1 Residuals vs Fits 2 Residuals vs Fits 3

 


multiple choice 3

  • Residuals vs Fits 1

  • Residuals vs Fits 2

  • Residuals vs Fits 3A regional planner employed by a public university is studying the demographics of nine counties in the eastern region of an d. Include the aspect that the county is coastal or not in a multiple linear regression analysis using a dummy variable.

A regional planner employed by a public university is studying the demographics of nine counties in the eastern region of an Atlantic seaboard state. She has gathered the following data: Click here for the Excel Data File a. Is there a linear relationship between the median income and median age? (Round your answer to 3 decimal places.) b. 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. (Round your answer to the nearest whole number.) c-2. Interpret the value of the slope in a simple regression equation. (Round your answer to the nearest whole number.) d. Include the aspect that the county is "coastal" or not in a multiple linear regression analysis using a "dummy" variable. (Round your answers to the nearest whole number.) e. Test each of the individual coefficients to see if they are significant. (Leave no cells blank - be certain to enter "o" wherever required. Round your answers to 2 decimal places.) f. Mak? Residual plot 1 Residual plot 3 g. Make a scatter diagram of the residual values versus the fitted values. Which plot is correct? Residuals vs Fits 1 Residuals vs Fits 2 Residuals vs Fits 3


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SOLUTION: a. Yes, the correlation of income and median age is 0.721
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