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Please explain me this problem without using Excel please. Thank you. df ss ms f significance...

Please explain me this problem without using Excel please. Thank you.

df ss ms f significance f
regression 1 552.0 552.0 69.0 0.0000
residual(error) 10 80.0 8.0
total 11 632.0
Coefficients Standard Error t Stat P-Value
Intercept 4.3939 1.7569 2.5009 0.0314
X 1.9650 0.2387 8.2315 0.0000

Answer the following questions based on the above information and use a 95% confidence.

a. Is the regression model significant at 95% confidence? Why or why not. Fully explain.

b. Is X significant? Why or why not. Fully explain.

c. Compute the value of R-square.

d. Determine the multiple R.

e. Compute the standard error.

f. What has been the sample size for this problem?

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Answer #1

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a. Is the regression model significant at 95% confidence? Why or why not. Fully explain.

F-statistic = 69.0

P-value = 0.0000

Since the p-value is less than 0.05, we reject the null hypothesis and conclude that the regression model is significant.

b. Is X significant? Why or why not. Fully explain.

t-statistic = 8.2315

P-value = 0.0000

Since the p-value is less than 0.05, we reject the null hypothesis and conclude that X is significant.

c. Compute the value of R-square.

R-square = SSR/SST = 552.0/632.0 = 0.8734

d. Determine the multiple R.

Multiple R = SQRT (0.8734) = 0.9346

e. Compute the standard error.

Standard error = SQRT (MSE) = SQRT (8.0) = 2.8284

f. What has been the sample size for this problem?

Sample size = Total df + 1 = 11 + 1 = 12

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