Given the following regression output, Predictor Co eff SE Co eff t p value Constant 84 998 1 863 45 62 0 000 X 1 2 391 1 200 1 99 0 051 X 2 0 409 0 172 2 38 0 021 Analysis of Variance Source DF SS MS F p value Regression 2 77 907 38 954 4 138 0 021 Residual Error 62 583 693 9 414 Total 64 661 600 Answer the following questions a Write the regression equation (Round your answers to 3 decimal places Negative amounts should be indicated by a minus sign ) X 1 X 2 b If X 1 is 4 and X 2 is 11, what is the expected or predicted value of the dependent variable (Round your answer to 3 decimal places ) Dependent variable is c How large is the sample How many independent variables are there Sample n Independent variables k d 1 State the decision rule for 05 significance level H 0 1 2 0 H 1 Not all 's are 0 (Round your answer to 2 decimal places ) Reject H 0 if F d 2 Compute the value of the F statistic (Round your answer to 2 decimal places ) Computed value of F is d 3 What is the conclusion Use the 05 significance level (Click to select)Reject Do not Reject H 0 (Click to select)Not allAll net regression coefficients equal zero e 1 State the decision rule for 05 significance level (Round your answers to 3 decimal places Negative amounts should be indicated by a minus sign ) Reject H 0 if t or t e 2 Compute the value of the test statistic (Round your answers to 2 decimal places Negative amounts should be indicated by a minus sign ) t value For X 1 For X 2 e 3 Which variable would you consider eliminating Delete variable (Click to select)X1X2 and keep (Click to select)X1X2 f Outline a strategy for deleting independent variables in this case The regression analysis should be repeated with only (Click to select)X2X1 as the independent variable

Question: Given the following regression output, Predictor Co-eff SE Co-eff t p-value Constant 84.998 1.863 45.62 0.000 X 1 2.391 1.200 1.99 0.051 X 2 -0.409

Given the following regression output,

Predictor	Co-eff	SE Co-eff	t	p-value
Constant	84.998	1.863	45.62	0.000
X₁	2.391	1.200	1.99	0.051
X₂	-0.409	0.172	-2.38	0.021

Analysis of Variance
Source	DF	SS	MS	F	p-value
Regression	2	77.907	38.954	4.138	0.021
Residual Error	62	583.693	9.414
Total	64	661.600

Answer the following questions:

a.	Write the regression equation. (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)

Ŷ = + X₁ + X₂

b.	If X₁ is 4 and X₂ is 11, what is the expected or predicted value of the dependent variable? (Round your answer to 3 decimal places.)

Dependent variable is

c.	How large is the sample? How many independent variables are there?


Sample n
Independent variables k

d-1.	State the decision rule for .05 significance level: H₀: β₁ = β₂ = 0; H₁: Not all β's are 0. (Round your answer to 2 decimal places.)

Reject H₀ if F >

d-2.	Compute the value of the F statistic. (Round your answer to 2 decimal places.)

Computed value of F is

d-3	What is the conclusion? Use the .05 significance level.

(Click to select)Reject Do not Reject H₀. (Click to select)Not allAll net regression coefficients equal zero.

e-1.	State the decision rule for .05 significance level: (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)

Reject H₀ if t < or t >

e-2.	Compute the value of the test statistic. (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.)

	t-value
For X₁
For X₂

e-3.	Which variable would you consider eliminating?

Delete variable (Click to select)X1X2 and keep (Click to select)X1X2.

f.	Outline a strategy for deleting independent variables in this case.

The regression analysis should be repeated with only (Click to select)X2X1 as the independent variable.

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