Question
In: Statistics and Probability
A statistical program is recommended. Consider the following data for a dependent variable y and two...
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 = 43.
(Round your answer to one decimal place.)
(b)
Develop an estimated regression equation relating y to
x2.
(Round your numerical values to one decimal place.)ŷ =
Predict y if
x2 = 19.
(Round your answer to one decimal place.)
(c)
Develop an estimated regression equation relating y to
x1 and x2.
(Round your numerical values to one decimal place.)ŷ =
Predict y if
x1 = 43
and
x2 = 19.
(Round your answer to one decimal place.)
Solutions
orchestra answered 2 years agoRelated Solutions
A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended.
Consider the following data for two variables, x and
y.
x
22
24
26
30
35
40
y
12
20
33
35
40
36
(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....
A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended.
Consider the following data for two variables, x and
y.
x
9
32
18
15
26
y
11
20
22
17
22
(a) Develop an estimated regression equation for the data of the
form ŷ = b0 +
b1x. (Round
b0 to two decimal places and
b1 to three decimal places.)
ŷ =
Comment on the adequacy of this equation for predicting
y. (Use α = 0.05.)
The high p-value and low coefficient of determination...
A statistical program is recommended. Consider the following data for two variables, x and y. xi...
A statistical program is recommended. Consider the following
data for two variables, x and y. xi 135 110 130 145 175 160 120 yi
145 100 120 120 135 130 110
(a) Compute the standardized residuals for these data. (Round
your answers to two decimal places.) xi yi Standardized Residuals
135 145 2.11 Incorrect: Your answer is incorrect. 110 100 -0.73
Incorrect: Your answer is incorrect. 130 120 145 120 175 135 160
130 120 110 Do the data include...
A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended.
Consider the following data for two variables, x and
y.
x
9
32
18
15
26
y
9
20
22
16
23
(a)Develop an estimated regression equation for the data of the
form ŷ = b0 + b1x. (Round
b0 to two decimal places and
b1 to three decimal places.)
(b) Develop an estimated regression equation for the data of the
form ŷ = b0 + b1x +
b2x2. (Round b0 to two
decimal places...
A statistical program is recommended. Consider the following data for two variables, x and y. x...
A statistical program is recommended.
Consider the following data for two variables, x and
y.
x
22
24
26
30
35
40
y
12
20
32
36
39
36
(a). Develop an estimated regression equation for the data of
the form
ŷ = b0 + b1x.
(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 test statistic.
Find the p-value.
Is the relationship...
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...
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