In: Statistics and Probability
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.
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.