Listed below are the weights and the highway fuel consumption amounts of randoml
ID: 3289476 • Letter: L
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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