Listed below are the weights and the highway fuel consumption amounts of randoml

Question

Listed below are the weights and the highway fuel consumption amounts of randomly selected cars. Use the given regression equation to answer parts (a) -(e). (a) Find the explained variation. (Round to four decimal places as needed) (b) Find the unexplained variation (Round to four decimal places as needed) (c) Find the total variation (Round to four decimal places as needed.) (d) Determine the value of r^2, the coefficient of determination. r^2 = (Round to four decimal places as needed.) Enter your answer in each of the answer boxes.

Explanation / Answer

Answer:

a). explained variation : 147.9743

b). un explained variation : 4.8828

c). total variation: 152.8571

d).coefficient of determination: 0.9681

Regression Analysis

r²

0.9681

n

7

r

-0.9839

k

1

Std. Error

0.9882

Dep. Var.

fuel consumption

ANOVA table

Source

SS

df

MS

F

p-value

Regression

147.9743

1  

147.9743

151.53

.0001

Residual

4.8828

5  

0.9766

Total

152.8571

6  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=5)

p-value

95% lower

95% upper

Intercept

56.2449

2.0732

27.130

1.27E-06

50.9157

61.5741

weight

-0.0083

0.0007

-12.310

.0001

-0.0100

-0.0066

Regression Analysis

r²

0.9681

n

7

r

-0.9839

k

1

Std. Error

0.9882

Dep. Var.

fuel consumption

ANOVA table

Source

SS

df

MS

F

p-value

Regression

147.9743

1  

147.9743

151.53

.0001

Residual

4.8828

5  

0.9766

Total

152.8571

6  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=5)

p-value

95% lower

95% upper

Intercept

56.2449

2.0732

27.130

1.27E-06

50.9157

61.5741

weight

-0.0083

0.0007

-12.310

.0001

-0.0100

-0.0066

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