Question

Consider the following data for a dependent variable y and two independent variables, x1 and x2 . x 1 x 2 y 29 13 94 46 11 109 25 17 112 50 16 178 40 6 95 51 19 175 74 7 170 36 13 117 59 13 143 76 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 . ŷ = + x1 Predict y if x1 = 45. ŷ = b. Develop an estimated regression equation relating y to x2 . ŷ = + x2 Predict y if x2 = 25. ŷ = c. Develop an estimated regression equation relating y to x1 and x2 . ŷ = + x1 + x2 Predict y if x1 = 45 and x2 = 25. ŷ =

Answer #1

The estimated regression equation relating y to x_{1}
is

The predicted value of y if x_{1} = 45 is

The estimated regression equation relating y to x_{2}
is

The predicted value of y if x_{2} = 25 is

The estimated regression equation relating y to x1 and x2 is

The predicted value of y if x_{1} = 45 and x_{2}
= 25 is

Consider the following data for a dependent variable y and two
independent variables, x1 and x2.
x1
x2
y
29
12
95
46
10
109
24
17
113
50
17
178
40
5
94
52
19
176
74
7
170
36
13
118
59
13
143
76
16
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.
y^=_____ + _____x1 (fill in...

8. 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
211
(a) Develop an estimated regression equation relating y
to x1. (Round your numerical values to one decimal
place.)
ŷ = ______
Predict y if x1 = 51. (Round
your answer...

A statistical program is recommended.
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
211
(a)
Develop an estimated regression equation relating y
to
x1.
(Round your numerical values to one decimal place.)ŷ =
Predict y if
x1 = 51.
(Round...

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
211
The estimated regression equation for these data isŷ =
−18.37 + 2.01x1 +
4.74x2.
Here, SST = 15,182.9, SSR = 14,052.2,
sb1 =
0.2471, and sb2
= 0.9484.
(A) Test for a significant relationship...

A statistical program is recommended.
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
211
The estimated regression equation for the data is
ŷ = −18.4 + 2.01x1 + 4.74x2.
(a)
Develop a 95% confidence interval for the mean value of...

Consider the following data for a dependent variable y
and two independent variables, x1and
x2; for these data SST = 15,309.6, and SSR =
14,429.8.
x 1
x 2
y
30
12
94
47
10
109
25
17
113
51
17
179
41
5
94
51
19
176
74
7
170
36
13
118
59
13
143
76
17
212
Round your answers to three decimal places.
a. Compute R2.
b. Compute
Ra2.

Consider the following data for a dependent variable y
and two independent variables, x1and
x2.
x1
x2
y
30
12
96
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 =
−17.33 + 2.00x1 +
4.73x2.
Here, SST = 15,002.1, SSR = 13,887.5,
sb1 =
0.2454,and
sb2 =
0.9417.
(a)Test for a significant...

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
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
211
The estimated regression equation for these data is
ŷ = −17.85 + 2.00x1 +
4.73x2.
Here, SST = 15,091.6,...

Consider the following data for two variables, x and
y.
x
22
24
26
30
35
40
y
13
22
34
34
41
35
(a) Develop an estimated regression equation for the data of the
form ŷ = b0 +
b1x. (Round
b0 to one decimal place and
b1 to three decimal places.)
ŷ =
(b) Use the results from part (a) to test for a significant
relationship between x and y. Use α =
0.05
Find the value of the...

(By Hand) For the dependent variable Y and the independent
variables X1 and X2, the linear regression model is given by:
Y=0.08059*X1-0.16109*X2+5.26570. Complete the following table:
Actual Y
X1
X2
Predicted Y
Prediction Error
6
6.8
4.7
3.1
5.3
5.5
5.8
4.5
6.2
4.5
8.8
7
4.5
6.8
6.1
3.7
8.5
5.1
5.4
8.9
4.8
5.1
6.9
5.4
5.8
9.3
5.9
5.7
8.4
5.4

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