Question
In: Economics
The data is given as follow. xi 2 6 9 13 20 yi 7 18 9...
The data is given as follow.
| xi | 2 | 6 | 9 | 13 | 20 |
| yi | 7 | 18 | 9 | 26 | 23 |
The estimated regression equation for these data is =
7.6 + .9x.
Compute SSE, SST, and SSR (to 1 decimal).
| SSE | |
| SST | |
| SSR |
What percentage of the total sum of squares can be accounted for by
the estimated regression equation (to 1 decimal)?
%
What is the value of the sample correlation coefficient (to 3
decimals)?
Solutions
Expert Solution
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Rahul Sunny answered 2 years agoRelated Solutions
The data from exercise 3 follow. xi 2 6 9 13 20 yi 7 18 9...
The data from exercise 3 follow.
xi
2
6
9
13
20
yi
7
18
9
26
23
The estimated regression equation is = 7.6 +
.9x.
What is the value of the standard error of the estimate (to 4
decimals)?
What is the value of the t test statistic (to 2
decimals)?
What is the p-value? Use Table 1 of Appendix B.
Selectless than .01between .01 and .02between .02 and .05between
.05 and .10between .10 and .20between .20...
The data from exercise 3 follow. xi 2 6 9 13 20 yi 7 18 9...
The data from exercise 3 follow.
xi
2
6
9
13
20
yi
7
18
9
26
23
The estimated regression equation is ŷ = 7.6 + .9x.
What is the value of the standard error of the estimate (to 4
decimals)?
What is the value of the t test statistic (to 2
decimals)?
What is the p-value?
- Select your answer -less than .01between .01 and .02between .02
and .05between .05 and .10between .10 and .20between .20 and
.40greater...
Consider the data. xi 2 6 9 13 20 yi 7 19 8 24 22 (a)...
Consider the data.
xi
2
6
9
13
20
yi
7
19
8
24
22
(a)
What is the value of the standard error of the estimate? (Round
your answer to three decimal places.)
(b)
Test for a significant relationship by using the t
test. Use α = 0.05.
State the null and alternative hypotheses.
H0: β1 ≠ 0
Ha: β1 = 0
H0: β1 ≥ 0
Ha: β1 <
0
H0: β1 = 0
Ha: β1 ≠ 0
H0:...
Consider the data. xi 2 6 9 13 20 yi 7 17 10 28 24 (a)...
Consider the data.
xi
2
6
9
13
20
yi
7
17
10
28
24
(a)
What is the value of the standard error of the estimate? (Round
your answer to three decimal places.)
_________
(b)
Test for a significant relationship by using the t
test. Use α = 0.05.
State the null and alternative hypotheses.
H0: β0 = 0
Ha: β0 ≠ 0
H0: β1 = 0
Ha: β1 ≠
0
H0: β0 ≠ 0
Ha: β0 = 0...
Consider the data. xi 2 6 9 13 20 yi 9 19 9 26 25 (a)...
Consider the data.
xi
2
6
9
13
20
yi
9
19
9
26
25
(a)
What is the value of the standard error of the estimate? (Round
your answer to three decimal places.)
(b)
Test for a significant relationship by using the t
test. Use α = 0.05.
State the null and alternative hypotheses.
H0: β0 ≠ 0
Ha: β0 =
0H0: β1 = 0
Ha: β1 ≠
0 H0:
β0 = 0
Ha: β0 ≠
0H0: β1 ≠ 0...
Consider the data. xi 2 6 9 13 20 yi 8 17 11 28 23 (a)What...
Consider the data.
xi
2
6
9
13
20
yi
8
17
11
28
23
(a)What is the value of the standard error of the estimate?
(Round your answer to three decimal places.)
(b)Test for a significant relationship by using the t
test. Use α = 0.05. State the null and alternative hypotheses.
(b.1)Find the value of the test statistic. (Round your answer to
three decimal places.)
(b.2)Find the p-value. (Round your answer to four
decimal places.)
(c)State your conclusion...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y.
xi
6
11
15
18
20
yi
7
7
13
21
30
(a)
Develop an estimated regression equation for these data. (Round
your numerical values to two decimal places.)
ŷ =
(b)Compute the residuals. (Round your answers to two decimal
places.)
xi
yi
Residuals
6
7
11
7
15
13
18
21
20
30
(c)Develop a plot of the residuals against the independent
variable x.
a) A residual plot has 5...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y.
xi 6 11 15 18 20
yi 6 8 12 20 30
Use the facts that ̄x= 14, ̄y= 15.2, ˆy=−7.02 + 1.59x, Σ(xi −
̄x)^2 = 126, and s= 4.88.
a. Compute the residuals.
b. Plot the residuals against x. Do the assumptions about the
error terms seem to be satisfied?
c. Compute the standardized residuals.
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y.
xi
6
11
15
18
20
yi
5
9
12
19
30
(a) Develop an estimated regression equation for these data.
(Round your numerical values to two decimal places.)
ŷ =
(b) Compute the residuals. (Round your answers to two decimal
places.)
xi
yi
Residuals
6
5
11
9
15
12
18
19
20
30
(d) Compute the standardized residuals. (Round your answers to
two decimal places.)
xi
yi
Standardized
Residuals...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y.
xi
6
11
15
18
20
yi
5
9
12
21
30
(a)
Develop an estimated regression equation for these data. (Round
your numerical values to two decimal places.)
ŷ =
1.66x−7.82
(b)
Compute the residuals. (Round your answers to two decimal
places.)
xi
yi
Residuals
6
5
11
9
15
12
18
21
20
30
(c)
Develop a plot of the residuals against the independent variable
x.
A residual plot...
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