Question
Consider the data set below. x 4 6 3 8 7 6 y 1 3 9...
Consider the data set below.
| x | 4 | 6 | 3 | 8 | 7 | 6 |
| y | 1 | 3 | 9 | 1 | 8 | 6 |
For a hyopthesis test, where H0:?1=0 and H1:?1?0, and using ?=0.01, give the following:
(a) The test statistic t=
(b) The degree of freedom df=
(c) The rejection region |t|>
Homework Answers
Answer #1
| X | Y | (X-Mx)^2 | (Y-My)^2 | (X-Mx)(Y-My) | Y' | (Y-Y')^2 | |
| 4 | 1 | 2.777777778 | 13.44444 | 6.111111 | 5.596154 | 21.12463 | |
| 6 | 3 | 0.111111111 | 2.777778 | -0.55556 | 4.480769 | 2.192678 | |
| 3 | 9 | 7.111111111 | 18.77778 | -11.5556 | 6.153846 | 8.100592 | |
| 8 | 1 | 5.444444444 | 13.44444 | -8.55556 | 3.365385 | 5.595044 | |
| 7 | 8 | 1.777777778 | 11.11111 | 4.444444 | 3.923077 | 16.6213 | |
| 6 | 6 | 0.111111111 | 1.777778 | 0.444444 | 4.480769 | 2.308062 | |
| Mean | 5.666667 | 4.66667 | |||||
| Sum | 34 | 28 | 17.33333333 | 61.33333 | -9.66667 | 55.94231 |
Y'=b0+b1*X
Standard error: 
Standard error for coefficient:
The test statistic:
b) The degree of freedom= n-2=4
c) Rejection region: 
|t| > 4.6040949
Not the answer you're looking for?
Similar Questions
(1 point) Consider the data set below x y 8 9 7 2 7 2 9...
(1 point) Consider the data set below
x
y
8
9
7
2
7
2
9
8
4
8
3
8
For a hypothesis test, where ?0:?1=0H0:β1=0 and ?1:?1≠0H1:β1≠0,
and using ?=0.05α=0.05, give the following:
(a) The test statistic
?=
(b) The degree of freedom
??=
(c) The rejection region
|?|>
The final conclustion is
A. There is not sufficient evidence to reject
the null hypothesis that ?1=0β1=0.
B. We can reject the null hypothesis that ?1=0β1=0
and accept that ?1≠0β1≠0.
Consider the data set below. xx 55 22 66 33 22 77 yy 99 22 99...
Consider the data set below.
xx
55
22
66
33
22
77
yy
99
22
99
88
33
66
For a hypothesis test, where H0:β1=0H0:β1=0 and H1:β1≠0H1:β1≠0, and
using α=0.01α=0.01, give the following:
(a) The test statistic
t=t=
(b) The degree of freedom
df=df=
(c) The rejection region
|t|>|t|>
The final conclustion is
A. There is not sufficient evidence to reject the
null hypothesis that β1=0β1=0.
B. We can reject the null hypothesis that β1=0β1=0
and accept that β1≠0β1≠0.
For the data set: x y -3 -3 3 3 6 6 8 7 12 11...
For the data set:
x
y
-3
-3
3
3
6
6
8
7
12
11
carry out the hypothesis test
H0:β1=0
H1:β1≠0
Determine the value of the test statistic and the associated
p-value.
Test Stat =
p-Val =
Consider the following set of ordered pairs. x 6 1 4 3 4 0 y 5...
Consider the following set of ordered pairs.
x 6 1 4 3 4 0
y 5 2 5 3 4 5
Assuming that the regression equation is y=3.375 + 0.208x and
that the SSE=6.9583, test to determine if the slope is not equal
to zero using α=0.10.
State the hypotheses. Choose the correct answer below.
A. H0: β ≠0 H1: β=0
B. H0: β=0 H1: β>0
C. H0: β=0 H1: β≠0
D. H0: β=0 H1: β<0
Calculate the test statistic....
Answer the correlation questions using the data below. Use α = 0.05. x y 9 6...
Answer the correlation questions using the data below. Use α =
0.05.
x
y
9
6
8
3
7
4
7
1
0
1
0
1
0
0
a) Compute the correlation.
r = ____
b) Compute the appropriate test statistic(s) for
H1: ρ > 0.
critical value = ____ ; test statistic = ____
Decision: ---Select--- Reject H0 or Fail to reject
H0
c) Compute the corresponding effect size(s) and
indicate magnitude(s).
If not appropriate, input and/or select "na" below....
Answer the correlation questions using the data below. Use α = 0.01. x y 5 6...
Answer the correlation questions using the data below. Use α =
0.01.
x
y
5
6
4
7
3
8
9
1
0
1
0
1
0
0
a) Compute the correlation.
r =
b) Compute the appropriate test statistic(s) for
H1: ρ > 0.
critical value = ; test statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
c) Compute the corresponding effect size(s) and
indicate magnitude(s).
If not appropriate, input and/or select "na" below.
effect size = ; ---Select--- na trivial...
Consider the data in the worksheet below. X Y 5 6 6 9 7 11 8...
Consider the data in the worksheet below.
X
Y
5
6
6
9
7
11
8
13
9
14
10
15
11
15
12
13
a. Generate a model for y as a function of x.
b. Is this model useful? Justify your conclusion based on:
i. R2 Adjusted
ii. Hypothesis test for model coefficient
iii. overall model adequacy test
iv. regression assumptions.
c. If needed, modify model as appropriate and generate a new
model.
Please be as detailed in...
Consider the following set of ordered pairs, x y 2 6 7 11 1 4 4 ...
Consider the following set of ordered pairs,
x y
2 6
7 11
1 4
4 9
3 7
Assuming that the regression equation is y=3.519 + 1.142x and
that the SSE= 1.5755, test to determine if the slope is not equal
to zero using a=0.05.
Test statistic=
identify the critical values=
and last state the conclusion
Consider the following data set consisting of two variables: x 0 3 5 6 8 y...
Consider the following data set consisting of two
variables:
x 0 3 5 6 8
y 10 9 7 4 1
(a) Draw a scatter diagram of the data.
(b) Compute the correlation coecient r.
(c) Is there a linear relation between x and y that you are condent
about? If so, in what direction? Justify your answer.
Consider the following set of ordered pairs. x 6 0 3 4 4 1 y 4...
Consider the following set of ordered pairs.
x 6 0 3 4 4 1
y 4 1 4 5 6 7
a.) state the hypotheses
b.) what is the test statistic?
c.) what is the p value?
d.) state the conclusion
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 9 minutes ago
asked 21 minutes ago
asked 31 minutes ago
asked 48 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 2 hours ago
asked 2 hours ago