Consider the following set of dependent and independent variables. Complete parts a through c below. y 9 11 15 15 21 24 28 32 X1 2 8 6 8 X2 16 10 14 11 63 11 15 20 8 7 4 a. Using technology, construct a regression model using both independent variables. y= ( 15.3952 ) + ( 1.0092 x, + ( −0.5689] -0.5889)x2 (Round to four decimal places as needed.) b. Test the significance of each independent variable using a=0.05. Test the significance of x. Identify the null and alternative hypotheses. Ho: B₁ = 0 H₁ B₁ 0 (Type integers or decimals.) Calculate the appropriate test statistic. The test statistic is 4.20 (Round to two decimal places as needed.) Determine the appropriate critical value(s) for a=0.05. The critical value(s) is (are) -2.57,2.57 (Round to two decimal places as needed. Use a comma to separate answers as needed.) State the conclusion for the test of significance for x₁. Reject the null hypothesis. There is sufficient evidence to conclude that there is a relationship between x, and y. Test the significance of x2. Identify the null and alternative hypotheses. Ho: B₂ = H₁₂ 0 0 (Type integers or decimals.) Calculate the appropriate test statistic. The test statistic is 4.20 (Round to two decimal places as needed.)
Consider the following set of dependent and independent variables. Complete parts a through c below. y 9 11 15 15 21 24 28 32 X1 2 8 6 8 X2 16 10 14 11 63 11 15 20 8 7 4 a. Using technology, construct a regression model using both independent variables. y= ( 15.3952 ) + ( 1.0092 x, + ( −0.5689] -0.5889)x2 (Round to four decimal places as needed.) b. Test the significance of each independent variable using a=0.05. Test the significance of x. Identify the null and alternative hypotheses. Ho: B₁ = 0 H₁ B₁ 0 (Type integers or decimals.) Calculate the appropriate test statistic. The test statistic is 4.20 (Round to two decimal places as needed.) Determine the appropriate critical value(s) for a=0.05. The critical value(s) is (are) -2.57,2.57 (Round to two decimal places as needed. Use a comma to separate answers as needed.) State the conclusion for the test of significance for x₁. Reject the null hypothesis. There is sufficient evidence to conclude that there is a relationship between x, and y. Test the significance of x2. Identify the null and alternative hypotheses. Ho: B₂ = H₁₂ 0 0 (Type integers or decimals.) Calculate the appropriate test statistic. The test statistic is 4.20 (Round to two decimal places as needed.)
Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter8: Time Series Analysis And_forecasting
Section: Chapter Questions
Problem 18P: Consider the following time series:
Construct a time series plot. What type of pattern exists in...
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What is the test statistics and critical values. I got 4.20 for the test statistic, but it says its incorrect.
![Consider the following set of dependent and independent variables. Complete parts a through c below.
y
9 11
15 15
21 24 28
32
X1
2 8
6
8
X2
16 10 14
11
63
11 15
20
8
7
4
a. Using technology, construct a regression model using both independent variables.
y= ( 15.3952 ) + ( 1.0092 x, + ( −0.5689]
-0.5889)x2
(Round to four decimal places as needed.)
b. Test the significance of each independent variable using a=0.05.
Test the significance of x. Identify the null and alternative hypotheses.
Ho: B₁ =
0
H₁ B₁
0
(Type integers or decimals.)
Calculate the appropriate test statistic.
The test statistic is 4.20
(Round to two decimal places as needed.)
Determine the appropriate critical value(s) for a=0.05.
The critical value(s) is (are) -2.57,2.57
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
State the conclusion for the test of significance for x₁.
Reject the null hypothesis. There is sufficient evidence to conclude that there
is
a relationship between x, and y.
Test the significance of x2. Identify the null and alternative hypotheses.
Ho: B₂ =
H₁₂
0
0
(Type integers or decimals.)
Calculate the appropriate test statistic.
The test statistic is 4.20
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10b5500b-af9e-44d2-8ab3-e2516e4dde77%2Fb748cd77-20cb-4956-a610-dae1166e575c%2Fszztvho_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following set of dependent and independent variables. Complete parts a through c below.
y
9 11
15 15
21 24 28
32
X1
2 8
6
8
X2
16 10 14
11
63
11 15
20
8
7
4
a. Using technology, construct a regression model using both independent variables.
y= ( 15.3952 ) + ( 1.0092 x, + ( −0.5689]
-0.5889)x2
(Round to four decimal places as needed.)
b. Test the significance of each independent variable using a=0.05.
Test the significance of x. Identify the null and alternative hypotheses.
Ho: B₁ =
0
H₁ B₁
0
(Type integers or decimals.)
Calculate the appropriate test statistic.
The test statistic is 4.20
(Round to two decimal places as needed.)
Determine the appropriate critical value(s) for a=0.05.
The critical value(s) is (are) -2.57,2.57
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
State the conclusion for the test of significance for x₁.
Reject the null hypothesis. There is sufficient evidence to conclude that there
is
a relationship between x, and y.
Test the significance of x2. Identify the null and alternative hypotheses.
Ho: B₂ =
H₁₂
0
0
(Type integers or decimals.)
Calculate the appropriate test statistic.
The test statistic is 4.20
(Round to two decimal places as needed.)
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