Question
In: Statistics and Probability
Consider the following set of dependent and independent variables. Use this data to complete parts a...
Consider the following set of dependent and independent variables. Use this data to complete parts a and b below.
Construct a 95% confidence interval for the regression coefficient for x1
y x1 x2
10 2 15
14 7 8
15 5 12
17 9 12
22 6 0
23 12 9
29 13 5
33 20 2
a. The 95% confidence interval for the true population coefficient B1 is _____ to _____. (Round to three decimal places as needed.)
b. Construct a 95% confidence interval for the regression coefficient for x2.
The 95% confidence interval for the true population coefficient β2 is ______ to _____. (Round to three decimal places as needed.)
Solutions
Expert Solution
Above problem is solved using Minitab, output vof Minitab is attached below,
a) 95% CI for Beta 1 is ( 0.451,1.506)
b) 95% CI for Beta 2 is ( -1. 128, 0.014)
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orchestra answered 1 year agoRelated Solutions
Use the accompanying set of dependent and independent variables to complete parts a through d below....
Use the accompanying set of dependent and independent variables
to complete parts a through d below.
y
10
11
15
15
20
24
27
32
x 1
2
5
5
9
7
11
16
21
x 2
16
10
13
10
2
8
7
4
Click the icon to view the data set.
a) Construct a 95% confidence interval for the dependent
variable when x1=9 and x 2=11.
The 95% confidence interval is from a lower limit of ______ to...
Consider the following set of dependent and independent variables. Using? technology, check for the presence of...
Consider the following set of dependent and independent
variables. Using? technology, check for the presence of
multicollinearity. If multicollinearity is? present, take the
necessary steps to eliminate it.
y x1 x2 x3
10 2 15 5
10 5 10 15
16 5 13 9
13 8 10 12
22 7 2 18
23 11 8 17
27 16 7 23
30 20 4 20
26 39 8 27
38 22 5 30
A. Eliminate the variable (x ?) which has...
Consider the following data for a dependent variable and two independent variables, and . x1= 30...
Consider the following data for a dependent variable and two
independent variables, and . x1= 30 46 24 50 41 51 74 36 60 77. x2
= 13 11 17 17 6 20 8 12 13 16. y = 95 109 112 178 94 176 170 117
142 212 Round your all answers to two decimal places. Enter
negative values as negative numbers, if necessary. a. Develop an
estimated regression equation relating to y to x1 . Predict y if...
Consider the accompanying set of dependent and independent variables. The variable x3 is qualitative with H=...
Consider the accompanying set of dependent and independent
variables. The variable x3 is qualitative with H= High, M= Medium,
and L= Low. Complete parts a and b below.
y x1 x2 x3
70 51 73 L
60 42 64 M
63 37 80 H
52 42 50 M
40 28 42 L
43 22 45 L
35 20 37 M
10 16 18 H
4 12 13 H
a. Using technology, construct a regression model using all
three independent variables....
Consider the following data for a dependent variable y and two independent variables, x2 and x1....
Consider the following data for a dependent variable y and two
independent variables, x2 and x1.
x1 x2 y
30 12 94
46 10 109
24 17 113
50 17 179
41 5 94
51 19 175
75 8 171
36 12 118
59 13 143
77 17 212
Round your all answers to two decimal places. Enter negative
values as negative numbers, if necessary.
a. Develop an estimated regression equation relating y to x1 .
Predict y if x1=45....
Consider the following data for a dependent variable y and two independent variables, x1 and x2.
You may need to use the appropriate technology to answer this question.
Consider the following data for a dependent variable y and two independent variables,
x1 and x2.
x1
x2
y
30
12
93
47
10
108
25
17
112
51
16
178
40
5
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
211
The estimated regression equation for these data is
ŷ = −18.89 + 2.02x1 + 4.74x2.
Here, SST = 15,276.0,...
Consider the following data for a dependent variable y and two independent variables, x1 and x2....
Consider the following data for a dependent variable y
and two independent variables, x1 and
x2.
x1
x2
y
30
12
94
47
10
108
25
17
112
51
16
178
40
5
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
209
The estimated regression equation for these data is ŷ =
−17.02 + 1.99x1 +
4.70x2.
Here, SST = 14,902.9, SSR = 13,773.1,
sb1 =
0.2470, and
sb2 =
0.9480.
(1a) Test...
Consider the following data for a dependent variable y and two independent variables, x1 and x2....
Consider the following data for a dependent variable y
and two independent variables, x1 and
x2.
x1
x2
y
30
13
95
46
10
108
25
18
113
50
16
179
40
5
95
51
20
176
74
7
170
36
12
117
59
13
142
77
16
211
Round your all answers to two decimal places. Enter negative
values as negative numbers, if necessary.
a. Develop an estimated regression equation
relating y to x1.
ŷ =_________ +___________ x1
Predict...
Consider the following data for a dependent variable y and two independent variables, x1 and x2....
Consider the following data for a dependent variable y
and two independent variables, x1 and x2.
x1
x2
y
30
12
95
47
10
108
25
17
112
51
16
178
40
5
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
212
The estimated regression equation for these data is
ŷ = −18.52 + 2.01x1 +
4.75x2.
Here, SST = 15,234.1, SSR = 14,109.8,
sb1 =
0.2464, and
sb2 =
0.9457.
(a)Test for...
5. Consider the following set of dependent and independent variables. y x1 x2 10 1 17...
5. Consider the following set of dependent and independent
variables.
y x1 x2
10 1 17
11 5 9
14 5 13
14 8 10
21 6 3
24 10 8
26 16 7
33 20 3
a. Using technology, construct a regression model using both
independent variables. y=___+___x1+___x2 (Round to four decimal
places as needed.)
b. Test the significance of each independent variable using
a=0.05 Test the significance of x1, Identify the null and
alternative hypothesis
c. Calculate the...
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