Assume that you are interested in whether or not expenditures per pupil are related to the average performance of pupils on a standardized basic skills examination.   expenditures per pupil average performance           70 110

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Assume that you are interested in whether or not expenditures per pupil are related to the average performance of pupils on a standardized basic skills examination.

 

expenditures per pupil

average performance

 

 

 

 

 

70

110

 

 

 

 

 

150

190

 

 

 

 

 

220

180

 

 

 

 

 

170

200

 

 

 

 

 

90

150

 

 

 

 

 

100

130

 

 

 

 

 

120

160

 

 

 

 

 

150

180

 

 

 

 

 

110

150

 

 

 

 

 

170

210

 

 

 

 

 

190

220

 

 

 

 

 

 

 

 

 

 

 

 

SUMMARY OUTPUT

 

 

 

 

 

 

 

 

 

 

 

 

 

Regression Statistics

 

 

 

 

 

Multiple R

0,84

 

 

 

 

 

R Square

0,71

 

 

 

 

 

Adjusted R Square

0,68

 

 

 

 

 

Standard Error

19,28

 

 

 

 

 

Observations

11

 

 

 

 

 

 

 

 

 

 

 

 

 

Coefficients

Standard Error

t Stat

P-value

Lower 95%

Upper 95%

Intercept

83,08

19,43

4,28

0,00

39,12

127,04

expenditures per pupil

0,63

0,13

4,74

0,00

0,33

0,93

 

  • Which variable is the independent variable? Which variable is the dependent variable?
  • What is the sample size?
  • Create a scatter plot for the data. Do you think there is a linear relationship between the two variables?
  • What is the equation of the least-squares regression line?
  • Use the regression equation to predict the average performance for X = 100.
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  • Create a scatter plot for the data. Do you think there is a linear relationship between the two variables?
  • What is the equation of the least-squares regression line?
  • Use the regression equation to predict the average performance for X = 100.
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Follow-up Question
  • Create a scatter plot for the data. Do you think there is a linear relationship between the two variables?
  • What is the equation of the least-squares regression line?
  • Use the regression equation to predict the average performance for X = 100.
Solution
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SEE SOLUTION
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