Question
In: Statistics and Probability
x1 2 6 9 13 20 y1 7 18 9 26 23 What is the value...
|
x1 |
2 |
6 |
9 |
13 |
20 |
|
y1 |
7 |
18 |
9 |
26 |
23 |
- What is the value of standard error of the estimates?
- Test for a significant relationship by using the t test. Use α = .05
- Use the F test to test for a significant relationship. Use α = .05. What is your conclusion?
Solutions
Expert Solution
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What I did below is that I ran the linear regression for Xi on Yi, and got the following results:
a. The value of standard error is 6.514 ( refer regression statistics table)
b. The p-value of .153 ( from the 3rd table of Coefficients) is more than the alpha = .05, meaning this variable x1 is not statistically significant
c. The p-value of 0.153 in the ANOVA table means that it is more
than alpha of .05, indicating that the linear regression equation
doesn't hold good - we can't use this for linear relation 
orchestra answered 1 year agoRelated Solutions
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)?
Month 1 2 3 4 5 6 7 Value 23 13 20 12 18 21 16...
Month
1
2
3
4
5
6
7
Value
23
13
20
12
18
21
16
(b)
Develop a three-month moving average for this time series.
Compute MSE and a forecast for month 8.
If required, round your answers to two decimal places. Do not
round intermediate calculation.
MSE:
The forecast for month 8:
(c)
Use α = 0.2 to compute the exponential smoothing
values for the time series. Compute MSE and a forecast for month
8.
If required, round...
Month 1 2 3 4 5 6 7 Value 23 13 20 12 18 21 16...
Month
1
2
3
4
5
6
7
Value
23
13
20
12
18
21
16
(b)
Develop a three-month moving average for this time series.
Compute MSE and a forecast for month 8.
If required, round your answers to two decimal places. Do not
round intermediate calculation.
MSE:
The forecast for month 8:
(c)
Use α = 0.2 to compute the exponential smoothing
values for the time series. Compute MSE and a forecast for month
8.
If required, round...
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 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...
y x1 x2 13 20 3 1 15 2 11 23 2 2 10 4 20...
y
x1
x2
13
20
3
1
15
2
11
23
2
2
10
4
20
30
1
15
21
4
27
38
0
5
18
2
26
24
5
1
16
2
A manufacturer recorded the number of defective items (y)
produced on a given day by each of ten machine operators and also
recorded the average output per hour (x1) for each operator and the
time in weeks from the last machine service (x2).
a. What is the...
Ages Number of students 15-18 6 19-22 7 23-26 9 27-30 6 31-34 8 35-38 8...
Ages
Number of students
15-18
6
19-22
7
23-26
9
27-30
6
31-34
8
35-38
8
Find the relative frequency for the class with lower class limit
15
Relative Frequency = %
Give your answer as a percent, rounded to two decimal places
Consider a sample with six observations of 13, 13, 7, 23, 20, and 20. Compute the...
Consider a sample with six observations of 13, 13, 7, 23, 20,
and 20. Compute the z-score for each observation. (Leave no cells
blank - be certain to enter "0" wherever required. Round your
answers to 2 decimal places. Negative values should be indicated by
a minus sign.)
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