A manufacturer produces washdown motors for the food service industry. The company manufactures the motors to order by modifying a base model to meet the specifications requested by the customer. The motors are produced in a batch environment, with the batch size equal to the number ordered. The manufacturer has recently sampled 50 customer orders. The motor manufacturer would like to determine if there is a relationship between the cost of producing the order and the order size so that it could estimate the cost of producing a particular size order. (A) Use the sample data to estimate the least squares regression model. (B) Provide an interpretation of the regression coefficients. (C) Test the significance of the overall regression model using a significance level of 0.02. (D) The company has just received an order for 30 motors. Use the regression model developed in part a to estimate the cost of producing this particular order. (E) Referring to part d, what is the 95% confidence interval for an average cost of an order of 30 motors? A random sample of 50 customer orders for wash down motors used in the food processing industry. The order size refers to the number of motors ordered and the total cost is the total production cost for that order: Order Size Total Cost 28 $ 7,531 27 $ 6,329 34 $ 8,413 30 $ 7,793 19 $ 5,360 21 $ 4,838 11 $ 2,551 17 $ 3,899 33 $ 8,326 23 $ 5,465 7 $ 2,283 23 $ 5,413 18 $ 4,238 26 $ 6,911 20 $ 6,315 29 $ 8,243 10 $ 2,866 22 $ 6,775 14 $ 4,289 6 $ 1,475 15 $ 3,590 35 $ 9,439 23 $ 6,760 18 $ 5,170 31 $ 7,780 21 $ 4,896 35 $ 8,816 29 $ 8,116 21 $ 6,212 24 $ 5,551 27 $ 7,080 36 $ 9,826 24 $ 6,129 20 $ 5,094 13 $ 3,568 14 $ 3,738 19 $ 5,332 14 $ 3,286 28 $ 6,664 24 $ 5,990 27 $ 7,093 16 $ 3,975 36 $ 9,046 20 $ 4,906 19 $ 5,324 7 $ 2,734 32 $ 8,138 21 $ 5,376 29 $ 7,763 23 $ 5,964
A manufacturer produces washdown motors for the food service industry. The company manufactures the motors to order by modifying a base model to meet the specifications requested by the customer. The motors are produced in a batch environment, with the batch size equal to the number ordered. The manufacturer has recently sampled 50 customer orders. The motor manufacturer would like to determine if there is a relationship between the cost of producing the order and the order size so that it could estimate the cost of producing a particular size order. (A) Use the sample data to estimate the least squares regression model. (B) Provide an interpretation of the regression coefficients. (C) Test the significance of the overall regression model using a significance level of 0.02. (D) The company has just received an order for 30 motors. Use the regression model developed in part a to estimate the cost of producing this particular order. (E) Referring to part d, what is the 95% confidence interval for an average cost of an order of 30 motors? A random sample of 50 customer orders for wash down motors used in the food processing industry. The order size refers to the number of motors ordered and the total cost is the total production cost for that order: Order Size Total Cost 28 $ 7,531 27 $ 6,329 34 $ 8,413 30 $ 7,793 19 $ 5,360 21 $ 4,838 11 $ 2,551 17 $ 3,899 33 $ 8,326 23 $ 5,465 7 $ 2,283 23 $ 5,413 18 $ 4,238 26 $ 6,911 20 $ 6,315 29 $ 8,243 10 $ 2,866 22 $ 6,775 14 $ 4,289 6 $ 1,475 15 $ 3,590 35 $ 9,439 23 $ 6,760 18 $ 5,170 31 $ 7,780 21 $ 4,896 35 $ 8,816 29 $ 8,116 21 $ 6,212 24 $ 5,551 27 $ 7,080 36 $ 9,826 24 $ 6,129 20 $ 5,094 13 $ 3,568 14 $ 3,738 19 $ 5,332 14 $ 3,286 28 $ 6,664 24 $ 5,990 27 $ 7,093 16 $ 3,975 36 $ 9,046 20 $ 4,906 19 $ 5,324 7 $ 2,734 32 $ 8,138 21 $ 5,376 29 $ 7,763 23 $ 5,964
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A manufacturer produces washdown motors for the food service industry. The company manufactures the motors to order by modifying a base model to meet the specifications requested by the customer. The motors are produced in a batch environment, with the batch size equal to the number ordered. The manufacturer has recently sampled 50 customer orders. The motor manufacturer would like to determine if there is a relationship between the cost of producing the order and the order size so that it could estimate the cost of producing a particular size order.
(A) Use the sample data to estimate the least squares regression model.
(B) Provide an interpretation of the regression coefficients.
(C) Test the significance of the overall regression model using a significance level of 0.02.
(D) The company has just received an order for 30 motors. Use the regression model developed in part a to estimate the cost of producing this particular order.
(E) Referring to part d, what is the 95% confidence interval for an average cost of an order of 30 motors?
A random sample of 50 customer orders for wash down motors used in the food processing industry. The order size refers to the number of motors ordered and the total cost is the total production cost for that order:
| Order Size | Total Cost |
| 28 | $ 7,531 |
| 27 | $ 6,329 |
| 34 | $ 8,413 |
| 30 | $ 7,793 |
| 19 | $ 5,360 |
| 21 | $ 4,838 |
| 11 | $ 2,551 |
| 17 | $ 3,899 |
| 33 | $ 8,326 |
| 23 | $ 5,465 |
| 7 | $ 2,283 |
| 23 | $ 5,413 |
| 18 | $ 4,238 |
| 26 | $ 6,911 |
| 20 | $ 6,315 |
| 29 | $ 8,243 |
| 10 | $ 2,866 |
| 22 | $ 6,775 |
| 14 | $ 4,289 |
| 6 | $ 1,475 |
| 15 | $ 3,590 |
| 35 | $ 9,439 |
| 23 | $ 6,760 |
| 18 | $ 5,170 |
| 31 | $ 7,780 |
| 21 | $ 4,896 |
| 35 | $ 8,816 |
| 29 | $ 8,116 |
| 21 | $ 6,212 |
| 24 | $ 5,551 |
| 27 | $ 7,080 |
| 36 | $ 9,826 |
| 24 | $ 6,129 |
| 20 | $ 5,094 |
| 13 | $ 3,568 |
| 14 | $ 3,738 |
| 19 | $ 5,332 |
| 14 | $ 3,286 |
| 28 | $ 6,664 |
| 24 | $ 5,990 |
| 27 | $ 7,093 |
| 16 | $ 3,975 |
| 36 | $ 9,046 |
| 20 | $ 4,906 |
| 19 | $ 5,324 |
| 7 | $ 2,734 |
| 32 | $ 8,138 |
| 21 | $ 5,376 |
| 29 | $ 7,763 |
| 23 | $ 5,964 |
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