Question
In: Statistics and Probability
A study was performed on wear of a bearing y and its relationship to x1 =...
A study was performed on wear of a bearing y and its relationship to x1 = oil viscosity and x2 = load. The following data was obtained.
|
Y |
X1 |
X2 |
|
293 |
1.6 |
851 |
|
230 |
15.5 |
816 |
|
172 |
22.0 |
1058 |
|
91 |
43.0 |
1201 |
|
113 |
33.0 |
1357 |
|
125 |
40.0 |
1115 |
Minitab results would be preferrable.
a) Fit a multiple linear regression model to these data.
b) Estimate ?2.
c) Predict wear in which x1 = 25 and x2 = 1000.
d) Test for significance of regression using ? = 0.05. What is the p-value for this test?
e) Find a 95% confidence interval and prediction interval when x1 = 25 and x2 = 1000.
f) Analyze R2.
g) Analyze the residuals.
Solutions
orchestra answered 2 years agoRelated Solutions
A study was performed on wear of a bearing y and its relationship to x1 =...
A study was performed on wear of a bearing y and its
relationship to x1 = oil viscosity and x2 =
load. The following data was obtained.
Y
X1
X2
293
1.6
851
230
15.5
816
172
22.0
1058
91
43.0
1201
113
33.0
1357
125
40.0
1115
USING MINITAB...
Fit a multiple linear regression model to these data.
Estimate σ2.
Predict wear in which x1 = 25 and x2 =
1000.
Test for significance of regression using α =...
A study was performed on wear of a bearing and its relationship to x1 = oil...
A study was performed on wear of a bearing and its relationship
to x1 = oil viscosity and x2 = load. The
following data were obtained.
Y
x1
x2
293
1.6
851
230
15.5
816
172
22
1058
91
43
1201
113
33
1357
125
40
1115
Fit a multiple linear regression model without interaction
terms to these data. Show the
regression equation/model. (5
points)
Estimate σ2 and the standard errors of the
registration coefficients for the model in (1)....
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A
study of parental empathy for sensitivity cues and baby temperament
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x2 be the empathy score of a father. A random sample of 31 mothers
gave a sample mean of x1= 69.55. Another random sample of 36
fathers gave x2= 59.00. Assume that SD1= 10.71 and SD2= 10.57.
(a) Let u1 be the population mean...
Prove E(X1 + X2 | Y=y) = E(X1 | Y=y) + E(X2 |Y=y). Prove both cases...
Prove E(X1 + X2 | Y=y) = E(X1 |
Y=y) + E(X2 |Y=y). Prove both cases where all random
variables are discrete and also when all random variables are
continuous.
Case Y X1 X2
Case
Y
X1
X2
X3
X4
X5
X6
1
43
45
92
61
39
30
51
2
63
47
73
63
54
51
64
3
71
48
86
76
69
68
70
4
61
35
84
54
47
45
63
5
81
47
83
71
66
56
78
6
43
34
49
54
44
49
55
7
58
35
68
66
56
42
67
8
74
41
66
70
53
50...
14. A study has shown that a good model for the relationship between X and Y...
14. A study has shown that a good model for the relationship
between X and Y , the first and second year batting averages of a
randomly chosen major league baseball player, is given by the
equation Y = .159 + .4X + e, where e is a normal random variable
with mean 0. That is, the model is a simple linear regression with
a regression toward the mean.
(a) If a player’s batting average is .200 in his first...
The accompanying data resulted from a study of the relationship between y = brightness of finished...
The accompanying data resulted from a study of the relationship
between y = brightness of finished paper and the
independent variables
x1 = hydrogen peroxide (% by weight), x2 =
sodium hydroxide (% by weight), x3 = silicate (% by
weight), and x4 = process temperature.
x1
x2
x3
x4
y
0.2
0.2
1.5
145
83.9
0.4
0.2
1.5
145
84.9
0.2
0.4
1.5
145
83.4
0.4
0.4
1.5
145
84.2
0.2
0.2
3.5
145
83.8
0.4
0.2
3.5
145...
A study investigating the relationship between blood pressure rise in millimetre of mercury (y) and the...
A study investigating the relationship between blood pressure
rise in millimetre of mercury (y) and the sound pressure level in
decibels (x). Use the correlation and regression technique to
investigate the relationship between the variables.
x 1 0 1 2 5 1 4 6
y 60 63 65 70 70 70 80 90
An experiment was performed to compare the abrasive wear of two different laminated materials. 40 pieces...
An experiment was performed to compare the abrasive wear of two
different laminated materials. 40 pieces of material 1 were tested
by exposing each piece to a machine measuring wear. 100 pieces of
material 2 were similarly tested. In each case, the depth of wear
was observed. The samples of material 1 gave an average (coded)
wear of 85 units with a sample standard deviation of 4, while the
samples of material 2 gave an average of 81 with a...
Multiple regression analysis was used to study the relationship between a dependent variable, y, and four...
Multiple regression analysis was used to study the relationship
between a dependent variable, y, and four independent
variables; x1, x2,
x3, and x4. The following
is a partial result of the regression analysis involving 31
observations.
Coefficients
Standard Error
Intercept
18.00
6.00
x1
12.00
8.00
x2
24.00
48.00
x3
-36.00
36.00
x4
16.00
2.00
ANOVA
df
SS
MS
F
Regression
125
Error
Total
760
a) Compute the multiple coefficient of determination.
b) Perform a t test and determine whether or...
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