Question

Multiple linear regression results: Dependent Variable: Cost Independent Variable(s): Summated Rating Cost = -43.111788 + 1.468875...

Multiple linear regression results:
Dependent Variable: Cost
Independent Variable(s): Summated Rating
Cost = -43.111788 + 1.468875 Summated Rating

Parameter estimates:

Parameter Estimate Std. Err. Alternative DF T-Stat P-value
Intercept -43.111788 10.56402 ≠ 0 98 -4.0810021 <0.0001
Summated Rating 1.468875 0.17012937 ≠ 0 98 8.633871 <0.0001

Analysis of variance table for multiple regression model:

Source DF SS MS F-stat P-value
Model 1 8126.7714 8126.7714 74.543729 <0.0001
Error 98 10683.979 109.02019
Total 99 18810.75

Summary of fit:
Root MSE: 10.441273
R-squared: 0.432
R-squared (adjusted): 0.4262
Predicted values stored in new column: Pred. Value

9. Using your data file Restaurants , find: Summated Rating = Independent Variable; Cost = Dependent Variable

a. What is an appropriate null hypothesis for this simple linear regression?  b. What is the test statistic (F) for the regression? c. What is the value for Significance F for the regression d. What is your conclusion concerning the null hypothesis? Reject / Not Reject? e. What is the value of the r square? f. Interpret R Square (what does it mean)? g. What is the value of the slope? h. What is the value of the y intercept?

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