Given are five observations for two variables, and y. Yi Use the estimated regression equation: ŷ= 67.5538 -2.6451z. a. Compute the mean square error using equation 3 58 6 10 18 20 51 45 19 14

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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Statistic question. Please help.
Given are five observations for two variables, and y.
(to 4 decimals)
b. Compute the standard error of the estimate using equation.
8 = √MSE =
SSE
Vn-2
Use the estimated regression equation: = 67.5538 -2.64512.
a. Compute the mean square error using equation.
s² = MSE=
SSE
n-2
(to 4 decimals)
c. Compute the estimated standard deviation of b₁ using equation.
8b₁ =
What is the p-value? Use Table 2 from Appendix B.
p-value is - Select your answer - #
What is your conclusion?
$
R
%
5
T
Ii
6
Yi
Σ(x₁ - x)²
(to 4 decimals)
d. Use the t-test to test the following hypotheses (α = 0.10):
Ho: B1=0
Ha: B10
Compute the value of the t-test statistic (Enter negative values as negative numbers).
(to 3 decimals)
Y
MacBook Pro
&
7
3
U
58
6
51
*
10
8
18 20
45 19 14
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9
0
0
7
I'
P
Transcribed Image Text:Given are five observations for two variables, and y. (to 4 decimals) b. Compute the standard error of the estimate using equation. 8 = √MSE = SSE Vn-2 Use the estimated regression equation: = 67.5538 -2.64512. a. Compute the mean square error using equation. s² = MSE= SSE n-2 (to 4 decimals) c. Compute the estimated standard deviation of b₁ using equation. 8b₁ = What is the p-value? Use Table 2 from Appendix B. p-value is - Select your answer - # What is your conclusion? $ R % 5 T Ii 6 Yi Σ(x₁ - x)² (to 4 decimals) d. Use the t-test to test the following hypotheses (α = 0.10): Ho: B1=0 Ha: B10 Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) Y MacBook Pro & 7 3 U 58 6 51 * 10 8 18 20 45 19 14 ( 9 0 0 7 I' P
Ho: B1=0
Ha: 810
Compute the value of the t-test statistic (Enter negative values as negative numbers).
(to 3 decimals)
What is the p-value? Use Table 2 from Appendix B.
p-value is - Select your answer - :
What is your conclusion?
We-Select your answer - Ho.
e. Use the F-test to test the hypotheses in part (d) at a 0.10 level of significance.
Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals) and the
p-value (to 4 decimals).
Source
of Variation
Regression
Error
Total
O Icon Key
What is your conclusion, based on this F test?
We-Select your answer - Ho.
$
4
]:
7
R
Degrees
of Freedom
F
V
%
5
Sum of
Squares
T
6
B
Mean
Square
MacBook Pro
Y
H
&
7
N
F
U
* 00
8
J
p-value
t
1
M
(
9
K
A
O
V
)
O
Save
L
Question 4 of 4
Submit Assignment for Grading
P
V
:
24
+ 11
{
[
11
~-
?
Transcribed Image Text:Ho: B1=0 Ha: 810 Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) What is the p-value? Use Table 2 from Appendix B. p-value is - Select your answer - : What is your conclusion? We-Select your answer - Ho. e. Use the F-test to test the hypotheses in part (d) at a 0.10 level of significance. Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals) and the p-value (to 4 decimals). Source of Variation Regression Error Total O Icon Key What is your conclusion, based on this F test? We-Select your answer - Ho. $ 4 ]: 7 R Degrees of Freedom F V % 5 Sum of Squares T 6 B Mean Square MacBook Pro Y H & 7 N F U * 00 8 J p-value t 1 M ( 9 K A O V ) O Save L Question 4 of 4 Submit Assignment for Grading P V : 24 + 11 { [ 11 ~- ?
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