Question

In: Statistics and Probability

Use the following multiple regression table to answer the following questions: Daily Demand High Temperature Price...

Use the following multiple regression table to answer the following questions:

Daily Demand High Temperature Price Day
144 73 $     1.00 1
90 64 $     1.00 0 0 = Weekend
108 73 $     1.00 1 1 = Weekday
120 82 $     1.00 1
54 45 $     1.20 0
69 54 $     1.20 1
126 86 $     1.20 1
99 70 $     1.20 0
48 73 $     1.50 0
33 66 $     1.50 0
90 75 $     1.50 1
81 61 $     1.50 1

1. What is the Y-intercept for the output of the data?

2. What is the R^2 of the data?

3. What is the adjusted R^2?

4. What is the high temperature coefficient of the output?

5. What is the price coefficient?

6. What is the Day Coefficient of the output, if the day is a weekday?

7. Using the data output, Calculate demand for burritos on a day that is 75 degrees, the price is $1.10...and it is a weekend.

8. Using the data output, Calculate demand for burritos on a day that is 75 degrees, the price is $1.10...and it is a weekday.

9. Using the data output, Calculate demand for burritos on a day that is 85 degrees, the price is $1.05...and it is a weekend.

10. Using the data output, Calculate demand for burritos on a day that is 85 degrees, the price is $1.05...and it is a weekday.

Solutions

Expert Solution

1. What is the Y-intercept for the output of the data?

Ans: The Y-intercept for the output of the data is 98.72.

2. What is the R^2 of the data?

Ans: The R^2 of the data = 0.83= 83.0%

3. What is the adjusted R^2?

Ans: The adjusted R^2= 0.766= 76.6%

4. What is the high-temperature coefficient of the output?

Ans:  The high-temperature coefficient of the output 1.1641.

5. What is the price coefficient?

Ans: The price coefficient is - 84.34.

6. What is the Day Coefficient of the output, if the day is a weekday?

Ans: The Day Coefficient of the output, if the day is a weekday is  24.10.

7. Using the data output, Calculate demand for burritos on a day that is 75 degrees, the price is $1.10...and it is a weekend.

Ans: The calculated demand for burritos on a day that is 75 degrees, the price is $1.10...and it is a weekend,

Daily Demand = 98.72 + 1.1641 *75 - 84.34 *1.10 + 24.10 *0 = 93.2535

8. Using the data output, Calculate demand for burritos on a day that is 75 degrees, the price is $1.10...and it is a weekday.

Ans: The calculated demand for burritos on a day that is 75 degrees, the price is $1.10...and it is a weekday,

Daily Demand = 98.72 + 1.1641 *75 - 84.34 *1.10 + 24.10 *1 = 117.3535

9. Using the data output, Calculate demand for burritos on a day that is 85 degrees, the price is $1.05...and it is a weekend.

Ans: The calculated demand for burritos on a day that is 85 degrees, the price is $1.05...and it is a weekend,

Daily Demand = 98.72 + 1.1641 *85 - 84.34 *1.05 + 24.10 *0 =109.1115

10. Using the data output, Calculate demand for burritos on a day that is 85 degrees, the price is $1.05...and it is a weekday

Ans: Calculate demand for burritos on a day that is 85 degrees, the price is $1.05...and it is a weekday,

Daily Demand = 98.72 + 1.1641 *85 - 84.34 *1.05 + 24.10 *1 = 133.2115.


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