Using the appropriate model, sample size n, and output below: Model: y = β0 + β1x1...

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Using the appropriate model, sample size n, and output below: Model: y = β0 + β1x1...

Using the appropriate model, sample size n, and output below:

Model: y = β₀ + β₁x₁ + β₂x₂ + β₃x₃ + ε Sample size: n = 16

Regression Statistics
Multiple R	0.9975
R Square	0.9950
Adjusted R Square	0.9937
Standard Error	440.3187
Observations	16

ANOVA	DF	SS	MS	F	Significance F
Regression	3	461,801,144.1072	153,933,714.7024	793.9616	0.0000
Residual	12	2,326,566.6701	193,880.5558
Total	15	464,127,710.7773

(1) Report the total variation, unexplained variation, and explained variation as shown on the output. (Round your answers to 4 decimal places.)

Total variation _______

Unexplained variation __________

Explained variation ________

(2) Report R² and R¯¯¯2 as shown on the output. (Round your answers to 4 decimal places.)

R^2 _____

R-bar^2 ______

(3) Report SSE, s², and s as shown on the output. Calculate s² from SSE and other numbers. (Round your answers to 4 decimal places.)

SSE _____

S^2 _____

s ______

(4) Calculate the F(model) statistic by using the explained variation, the unexplained variation, and other relevant quantities. (Round your answer to 3 decimal places.)

F(model) _____

math Statistics-And-Probability

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Answer 1

Answer #1

1)

Total variation = 464127710.7773

Unexplained variation = 2326566.6701

Explained variation =461801144.1072

2)

R² =0.9950

Adjusted R Square =0.9937

3)

SSE =2326566.6701

s² = 193880.5558

s= 440.3187

4)

F =793.962

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Answer 2

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