Question

In: Statistics and Probability

price # of bids 108 12 131 13 136 16 142 17 158 19 1. What...

price # of bids

108

12
131 13
136 16
142 17
158 19

1. What is the Standard Error of the Regression Model?

2. Find the estimated y-intercept.  

3. Find the estimated slope.  

4. What is the Total Sum of Squares?

5. What is the R-square Value of the regression model?

6. What is the Sum of Squares for the Regression?

7. Using your regression output. What is the predicted number of bids (excluding error) when the price is $155?

8. Based upon the Price in Dollars, using an alpha level at 0.05, evaluate the P-value for significance. Does this model test to be significant? Chose your answer based upon the Regression Data output.

9. Using your regression output. What is the predicted number of bids (excluding error) when the price is $125?

10. What is the Sum of Squares for Error?

Solutions

Expert Solution

from excel: data-data analysis: regression":

below is regression output:

Regression Statistics
Multiple R 0.934852
R Square 0.873949
Adjusted R Square 0.831932
Standard Error 1.181086
Observations 5
ANOVA
df SS MS F Significance F
Regression 1 29.01511 29.01511 20.79988 0.019765
Residual 3 4.184894 1.394965
Total 4 33.2
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept -4.58489 4.413709 -1.03878 0.375274 -18.6313 9.461499 -18.6313 9.461499
price 0.148036 0.032459 4.560689 0.019765 0.044737 0.251336 0.044737 0.251336

1)  Standard Error of the Regression Model =1.1811

2)y intercept=-4.5849

3)estimated slope=0.1480

4) Total Sum of Squares =33.2
5) R-square Value of the regression model =0.8739

6) Sum of Squares for the Regression =29.0151

7) predicted value =18.3607

8) p value =0.0198

since p value <0.05 ; model is significant

9()

predicted value =13.9196

10)Sum of Squares for Error=4.1849


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