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.)
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Question
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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