Use the following partially complete Minitab output to answer the following ques
ID: 3438062 • Letter: U
Question
Use the following partially complete Minitab output to answer the following questions.
Predictor
Coeff
Se Coef
T
P
Constant
0.9798
0.3367
?
0.011
X
-8.3088
?
-14.54
?
S = ? R-sq = 93.8% R-Sq(adj) = ?
ANOVA:
Source
DF
SS
MS
F
Regression
1
84.106
?
?
Residual Error
14
5.59
?
Total
15
?
Find all of the missing values
Find the estimate of 2
Test for significance of regression. Test for significance of 1.Comment on the two results. Use = 0.05
Construct a 95% CI on 1. Use this CI to test for significance of regression.
Comment on results found in parts (c) and (d).
Write the regression model and use it to compute the residual when x= 0.58 and y = -3.30.
Use the regression model to compute the mean and predicted future response when x = 0.6. Given that and Sxx = 1.218, construct a 95% PI on the future response. Which interval is wider? Why?
Predictor
Coeff
Se Coef
T
P
Constant
0.9798
0.3367
?
0.011
X
-8.3088
?
-14.54
?
Explanation / Answer
Find all of the missing values:
n-1=15=>n=16
df=n-2=16-2=14
for p-value, use excel command =TDIST(14.54,14,2).
This gives p-value=0.000
Predictor
Coeff
Se Coef
T
P
Constant
0.9798
0.3367
0.9798/0.3367=2.91
0.011
X
-8.3088
-8.3088/-14.54=0.5714
-14.54
0.000
S = sqrt(MSE) = sqrt(0.399)=0.632 R-sq = 93.8% R-Sq(adj) = [(89.696/15)-0.399]/(89.696/15)=0.933
ANOVA:
Source
DF
SS
MS
F
Regression
1
84.106
84.106/1=84.106
84.106/0.399=210.79
Residual Error
14
5.59
5.59/14=0.399
Total
n-1=15
89.696
Find the estimate of 2
s2=(0.632)2=0.399424
Predictor
Coeff
Se Coef
T
P
Constant
0.9798
0.3367
0.9798/0.3367=2.91
0.011
X
-8.3088
-8.3088/-14.54=0.5714
-14.54
0.000
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