Consider the following set of dependent and independent variables. Complete parts a through c below. y 9 11 D 15 15 21 24 28 32 X1 2 6 6 8 6 11 15 20 X2 16 10 14 11 3 8 7 4 a. Using technology, construct a regression model using both independent variables. y= (15.3952) + (1.0092) x₁ + (-0.5869)x2 (Round to four decimal places as needed.) b. Test the significance of each independent variable using α = 0.05. Test the significance of x₁. Identify the null and alternative hypotheses. Ho B₁ = H₁ B₁ 0 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 α = 0.05. The critical value(s) is (are) ☐ (Round to two decimal places as needed. Use a comma to separate answers as needed.)
Consider the following set of dependent and independent variables. Complete parts a through c below. y 9 11 D 15 15 21 24 28 32 X1 2 6 6 8 6 11 15 20 X2 16 10 14 11 3 8 7 4 a. Using technology, construct a regression model using both independent variables. y= (15.3952) + (1.0092) x₁ + (-0.5869)x2 (Round to four decimal places as needed.) b. Test the significance of each independent variable using α = 0.05. Test the significance of x₁. Identify the null and alternative hypotheses. Ho B₁ = H₁ B₁ 0 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 α = 0.05. The critical value(s) is (are) ☐ (Round to two decimal places as needed. Use a comma to separate answers as needed.)
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Transcribed Image Text:Consider the following set of dependent and independent variables. Complete parts a through c below.
y 9 11
D
15
15
21
24
28
32
X1
2
6
6 8
6
11
15
20
X2 16 10
14
11 3
8
7 4
a. Using technology, construct a regression model using both independent variables.
y= (15.3952) + (1.0092) x₁ + (-0.5869)x2
(Round to four decimal places as needed.)
b. Test the significance of each independent variable using α = 0.05.
Test the significance of x₁. Identify the null and alternative hypotheses.
Ho B₁ =
H₁ B₁
0
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 α = 0.05.
The critical value(s) is (are) ☐
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
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