As a manager you have been provided the following regression summery output for
ID: 3172581 • Letter: A
Question
As a manager you have been provided the following regression summery output for a regression model of a new product.
Regression Statistics
Observations
30
df
SS
MS
F
Significance F
Regression
3
156.4823
52.16077
28.01892
0.000002177
Residual
26
48.4023
1.861627
Total
29
204.8846
Coefficients
Standard Error
P-value
Intercept
23.8163
6.324738
9.24E-07
Price
-0.3035
0.171174
0.001925
Advertising
0.342937
0.165588
0.112442
Price other
-0.23406
0.13935
0.043889
What can you say about the significance of the entire regression model and the significance of each of the specific coefficients? 2 points
Using the regression summery, compute R2 and Adjusted R2. 2 points
Given that currently, PS = $300 and Y = 64, state the demand function for “Model It’s” (format should be: QM = a + bPM) and its inverse demand curve (PM = a + bQM). 2 points
As is true for many information goods, the marginal cost of producing Model It is negligible (MC = 0). However, the company incurred significant costs in developing the product for market, estimated to be $200,000. Given the estimated demand, determine the optimal price and quantity for “Model It”, and compute profit. 2 points
Regression Statistics
Observations
30
df
SS
MS
F
Significance F
Regression
3
156.4823
52.16077
28.01892
0.000002177
Residual
26
48.4023
1.861627
Total
29
204.8846
Coefficients
Standard Error
P-value
Intercept
23.8163
6.324738
9.24E-07
Price
-0.3035
0.171174
0.001925
Advertising
0.342937
0.165588
0.112442
Price other
-0.23406
0.13935
0.043889
Explanation / Answer
Answer to question # 1)
Significance of entire regression model:
The signficance of the entire regression model can be analysed from the F value and its corresponding P value
We got F = 28.01892 with a P value of 0.000002177
Since the P value is very small , this implies the regression model is highly significant.
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