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BrandyBraden BrandyBraden
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Given below are five observations collected in a regression study on two variables, x (independent variable) and y (dependent variable).

x

y

2

4

3

4

4

3

5

2

6

1


a.Develop the least squares estimated regression equation.
b.At 95% confidence, perform a t test and determine whether or not the slope is significantly different from zero.
c.Perform an F test to determine whether or not the model is significant. Let α = 0.05.
d.Compute the coefficient of determination.
e.Compute the coefficient of correlation.

Textbook 

Essentials of Statistics for Business and Economics


Edition: 7th
Authors:
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jp50jp50
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Regression Statistics
Multiple R

0.970

R Square

0.941

Adjusted R Square

0.922

Standard Error

0.365

Observations

5


ANOVA     
 

df

SS

MS

F

Significance F

Regression

1

6.4

6.400

48.000

0.006

Residual

3

0.4

0.133

  
Total

4

6.8

   


 

Coefficients

Standard Error

t Stat

P-value

 
Intercept

 6.000

0.490

12.247

0.001

 
X

-0.800

0.115

 -6.928

0.006

 


a. = 6 - 0.8 x
b.p-value < .05; reject Ho
c.p-value < .05; reject Ho
d.0.941
e.-0.970


1

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