Question: 1.A manager is trying to estimate costs. Three variables impact costs and are identified as: x1, x2, x3. a. USE Worksheet Q1-Part-A . Estimate the

1.A manager is trying to estimate costs. Three variables impact costs and are identified as: x1, x2, x3.

a.USE Worksheet Q1-Part-A. Estimate the linear model Cost = ?0 + ?1x1 + ?2x2 + ?3x3 + ?. Place results in cell J1. What is the predicted cost in a week during which x1 is 25, x2 is 28, and x3 is 75?

b.USE Worksheet Q1-Part-B. Estimate the exponential model. Place results in cell J1. What is the predicted cost in a week during which x1 is 38, x2 is 23, and x3 is 44?

c.USE Worksheet Q1-Part-C. Estimate the log-log model with x2 and x3 transformed. Place results in cell J1. What is the predicted cost in a week during which x1 is 65, x2 is 15, and x3 is 63?

d.Based on the explanatory power of the model which model provides the better fit? Do not make a fiat statement; provide evidence for your conclusion.

1.A manager is trying to estimate costs. Three variables impact costs and

Cost x1 28469.9 13431.7 22994.2 19963.1 49713.1 14453.4 33617.5 39169.7 26979 26866.8 16059.9 40592.6 28896.6 17873.8 40145.5 26547.2 28017.7 24378 25751.6 35601.4 23837.4 49167.4 11697.7 13186.9 31368.4 31557.1 24031.2 17170 38513.5 19359.6 21216 17290.7 14546.9 41286.2 18858.1 55345.2 15245.6 17170 18599.7 26870.2 25634.3 19165.8 31484 29384.5 35139 27982 44881.7 x2 34.5 23.25 50.25 32.25 75 42.75 57 53.25 17.25 45 21 58.5 54 16.5 37.5 52.5 66.75 24.75 22.5 41.25 53.25 56.25 39 22.5 61.5 28.5 62.25 24.75 68.25 30.75 22.5 21 21.75 51.75 27 48.75 46.5 47.25 59.25 32.25 30 54 60 33.75 63.75 46.5 73.5 x3 16.5 18 18.75 21 21.75 21 18.75 22.5 19.5 18.75 21.75 18.75 18 18 19.5 17.25 18.75 20.25 21 18 21.75 18.75 16.5 16.5 18.75 21.75 18.75 17.25 21.75 15 20.25 16.5 15 22.5 16.5 21 17.25 20.25 18 19.5 21 18.75 17.25 18.75 15.75 15.75 20.25 56.25 73.5 64.5 64.5 61.5 70.5 55.5 52.5 49.5 54.75 71.25 61.5 60 54.75 49.5 55.5 74.25 69.75 50.25 54 64.5 53.25 74.25 66 55.5 49.5 73.5 57 55.5 56.25 54.75 62.25 54.75 55.5 52.5 48.75 71.25 69.75 70.5 49.5 49.5 63 51 69 59.25 46.5 48.75 26010 23125.1 20360.9 50303 25156.6 15373.1 20733.2 24078.8 38295.9 29170.3 28277.8 18985.6 32760.7 11427.4 47010.1 21409.8 35489.2 41544.6 24777.5 21753.2 18314.1 17734.4 13822.7 16299.6 25059.7 35258 18292 30205.6 20901.5 14791.7 34093.5 13615.3 19346 22775.92 10745.36 18395.36 15970.48 39770.48 11562.72 26894 31335.76 21583.2 21493.44 12847.92 32474.08 23117.28 14299.04 32116.4 30.75 32.25 39 66.75 45 22.5 45 44.25 52.5 66.75 68.25 34.5 33 16.5 63.75 57 57 72.75 17.25 33.75 72.75 39 47.25 34.5 38.25 68.25 47.25 60.75 28.5 53.25 72 33 42 20.7 13.95 30.15 19.35 45 25.65 34.2 31.95 10.35 27 12.6 35.1 32.4 9.9 22.5 18 19.5 17.25 17.25 17.25 21 15.75 16.5 21 16.5 17.25 21.75 18 16.5 21 15.75 22.5 19.5 16.5 21 18 15.75 15 18 21 19.5 17.25 21 21 15.75 16.5 18.75 21 9.9 10.8 11.25 12.6 13.05 12.6 11.25 13.5 11.7 11.25 13.05 11.25 10.8 10.8 11.7 58.5 56.25 71.25 46.5 60.75 69 67.5 59.25 48.75 72.75 54.75 70.5 45 73.5 50.25 72.75 50.25 47.25 61.5 61.5 71.25 49.5 71.25 74.25 49.5 66 63 67.5 54.75 73.5 60.75 72 63 33.75 44.1 38.7 38.7 36.9 42.3 33.3 31.5 29.7 32.85 42.75 36.9 36 32.85 29.7 21237.76 22414.16 19502.4 20601.28 28481.12 19069.92 39333.92 9358.16 10549.52 25094.72 25245.68 19224.96 13736 30810.8 15487.68 16972.8 13832.56 11637.52 33028.96 15086.48 44276.16 12196.48 13736 14879.76 21496.16 20507.44 15332.64 25187.2 23507.6 28111.2 22385.6 35905.36 20808 18500.08 16288.72 40242.4 20125.28 12298.48 16586.56 19263.04 30636.72 23336.24 22622.24 15188.48 26208.56 9141.92 37608.08 17127.84 31.5 40.05 14.85 13.5 24.75 31.95 33.75 23.4 13.5 36.9 17.1 37.35 14.85 40.95 18.45 13.5 12.6 13.05 31.05 16.2 29.25 27.9 28.35 35.55 19.35 18 32.4 36 20.25 38.25 27.9 44.1 18.45 19.35 23.4 40.05 27 13.5 27 26.55 31.5 40.05 40.95 20.7 19.8 9.9 38.25 34.2 10.35 11.25 12.15 12.6 10.8 13.05 11.25 9.9 9.9 11.25 13.05 11.25 10.35 13.05 9 12.15 9.9 9 13.5 9.9 12.6 10.35 12.15 10.8 11.7 12.6 11.25 10.35 11.25 9.45 9.45 12.15 10.8 11.7 10.35 10.35 10.35 12.6 9.45 9.9 12.6 9.9 10.35 13.05 10.8 9.9 12.6 9.45 33.3 44.55 41.85 30.15 32.4 38.7 31.95 44.55 39.6 33.3 29.7 44.1 34.2 33.3 33.75 32.85 37.35 32.85 33.3 31.5 29.25 42.75 41.85 42.3 29.7 29.7 37.8 30.6 41.4 35.55 27.9 29.25 35.1 33.75 42.75 27.9 36.45 41.4 40.5 35.55 29.25 43.65 32.85 42.3 27 44.1 30.15 43.65 28391.36 33235.68 19822 17402.56 14651.28 14187.52 11058.16 34.2 43.65 10.35 20.25 43.65 23.4 28.35 13.5 11.7 9.9 12.6 10.8 9.45 9 30.15 28.35 36.9 36.9 42.75 29.7 42.75 Cost x1 28469.9 13431.7 22994.2 19963.1 49713.1 14453.4 33617.5 39169.7 26979 26866.8 16059.9 40592.6 28896.6 17873.8 40145.5 26547.2 28017.7 24378 25751.6 35601.4 23837.4 49167.4 11697.7 13186.9 31368.4 31557.1 24031.2 17170 38513.5 19359.6 21216 17290.7 14546.9 41286.2 18858.1 55345.2 15245.6 17170 18599.7 26870.2 25634.3 19165.8 31484 29384.5 35139 27982 44881.7 x2 34.5 23.25 50.25 32.25 75 42.75 57 53.25 17.25 45 21 58.5 54 16.5 37.5 52.5 66.75 24.75 22.5 41.25 53.25 56.25 39 22.5 61.5 28.5 62.25 24.75 68.25 30.75 22.5 21 21.75 51.75 27 48.75 46.5 47.25 59.25 32.25 30 54 60 33.75 63.75 46.5 73.5 x3 16.5 18 18.75 21 21.75 21 18.75 22.5 19.5 18.75 21.75 18.75 18 18 19.5 17.25 18.75 20.25 21 18 21.75 18.75 16.5 16.5 18.75 21.75 18.75 17.25 21.75 15 20.25 16.5 15 22.5 16.5 21 17.25 20.25 18 19.5 21 18.75 17.25 18.75 15.75 15.75 20.25 56.25 73.5 64.5 64.5 61.5 70.5 55.5 52.5 49.5 54.75 71.25 61.5 60 54.75 49.5 55.5 74.25 69.75 50.25 54 64.5 53.25 74.25 66 55.5 49.5 73.5 57 55.5 56.25 54.75 62.25 54.75 55.5 52.5 48.75 71.25 69.75 70.5 49.5 49.5 63 51 69 59.25 46.5 48.75 26010 23125.1 20360.9 50303 25156.6 15373.1 20733.2 24078.8 38295.9 29170.3 28277.8 18985.6 32760.7 11427.4 47010.1 21409.8 35489.2 41544.6 24777.5 21753.2 18314.1 17734.4 13822.7 16299.6 25059.7 35258 18292 30205.6 20901.5 14791.7 34093.5 13615.3 19346 22775.92 10745.36 18395.36 15970.48 39770.48 11562.72 26894 31335.76 21583.2 21493.44 12847.92 32474.08 23117.28 14299.04 32116.4 30.75 32.25 39 66.75 45 22.5 45 44.25 52.5 66.75 68.25 34.5 33 16.5 63.75 57 57 72.75 17.25 33.75 72.75 39 47.25 34.5 38.25 68.25 47.25 60.75 28.5 53.25 72 33 42 20.7 13.95 30.15 19.35 45 25.65 34.2 31.95 10.35 27 12.6 35.1 32.4 9.9 22.5 18 19.5 17.25 17.25 17.25 21 15.75 16.5 21 16.5 17.25 21.75 18 16.5 21 15.75 22.5 19.5 16.5 21 18 15.75 15 18 21 19.5 17.25 21 21 15.75 16.5 18.75 21 9.9 10.8 11.25 12.6 13.05 12.6 11.25 13.5 11.7 11.25 13.05 11.25 10.8 10.8 11.7 58.5 56.25 71.25 46.5 60.75 69 67.5 59.25 48.75 72.75 54.75 70.5 45 73.5 50.25 72.75 50.25 47.25 61.5 61.5 71.25 49.5 71.25 74.25 49.5 66 63 67.5 54.75 73.5 60.75 72 63 33.75 44.1 38.7 38.7 36.9 42.3 33.3 31.5 29.7 32.85 42.75 36.9 36 32.85 29.7 21237.76 22414.16 19502.4 20601.28 28481.12 19069.92 39333.92 9358.16 10549.52 25094.72 25245.68 19224.96 13736 30810.8 15487.68 16972.8 13832.56 11637.52 33028.96 15086.48 44276.16 12196.48 13736 14879.76 21496.16 20507.44 15332.64 25187.2 23507.6 28111.2 22385.6 35905.36 20808 18500.08 16288.72 40242.4 20125.28 12298.48 16586.56 19263.04 30636.72 23336.24 22622.24 15188.48 26208.56 9141.92 37608.08 17127.84 31.5 40.05 14.85 13.5 24.75 31.95 33.75 23.4 13.5 36.9 17.1 37.35 14.85 40.95 18.45 13.5 12.6 13.05 31.05 16.2 29.25 27.9 28.35 35.55 19.35 18 32.4 36 20.25 38.25 27.9 44.1 18.45 19.35 23.4 40.05 27 13.5 27 26.55 31.5 40.05 40.95 20.7 19.8 9.9 38.25 34.2 10.35 11.25 12.15 12.6 10.8 13.05 11.25 9.9 9.9 11.25 13.05 11.25 10.35 13.05 9 12.15 9.9 9 13.5 9.9 12.6 10.35 12.15 10.8 11.7 12.6 11.25 10.35 11.25 9.45 9.45 12.15 10.8 11.7 10.35 10.35 10.35 12.6 9.45 9.9 12.6 9.9 10.35 13.05 10.8 9.9 12.6 9.45 33.3 44.55 41.85 30.15 32.4 38.7 31.95 44.55 39.6 33.3 29.7 44.1 34.2 33.3 33.75 32.85 37.35 32.85 33.3 31.5 29.25 42.75 41.85 42.3 29.7 29.7 37.8 30.6 41.4 35.55 27.9 29.25 35.1 33.75 42.75 27.9 36.45 41.4 40.5 35.55 29.25 43.65 32.85 42.3 27 44.1 30.15 43.65 28391.36 33235.68 19822 17402.56 14651.28 14187.52 11058.16 34.2 43.65 10.35 20.25 43.65 23.4 28.35 13.5 11.7 9.9 12.6 10.8 9.45 9 30.15 28.35 36.9 36.9 42.75 29.7 42.75 Cost x1 28469.9 13431.7 22994.2 19963.1 49713.1 14453.4 33617.5 39169.7 26979 26866.8 16059.9 40592.6 28896.6 17873.8 40145.5 26547.2 28017.7 24378 25751.6 35601.4 23837.4 49167.4 11697.7 13186.9 31368.4 31557.1 24031.2 17170 38513.5 19359.6 21216 17290.7 14546.9 41286.2 18858.1 55345.2 15245.6 17170 18599.7 26870.2 25634.3 19165.8 31484 29384.5 35139 27982 44881.7 x2 34.5 23.25 50.25 32.25 75 42.75 57 53.25 17.25 45 21 58.5 54 16.5 37.5 52.5 66.75 24.75 22.5 41.25 53.25 56.25 39 22.5 61.5 28.5 62.25 24.75 68.25 30.75 22.5 21 21.75 51.75 27 48.75 46.5 47.25 59.25 32.25 30 54 60 33.75 63.75 46.5 73.5 x3 16.5 18 18.75 21 21.75 21 18.75 22.5 19.5 18.75 21.75 18.75 18 18 19.5 17.25 18.75 20.25 21 18 21.75 18.75 16.5 16.5 18.75 21.75 18.75 17.25 21.75 15 20.25 16.5 15 22.5 16.5 21 17.25 20.25 18 19.5 21 18.75 17.25 18.75 15.75 15.75 20.25 56.25 73.5 64.5 64.5 61.5 70.5 55.5 52.5 49.5 54.75 71.25 61.5 60 54.75 49.5 55.5 74.25 69.75 50.25 54 64.5 53.25 74.25 66 55.5 49.5 73.5 57 55.5 56.25 54.75 62.25 54.75 55.5 52.5 48.75 71.25 69.75 70.5 49.5 49.5 63 51 69 59.25 46.5 48.75 26010 23125.1 20360.9 50303 25156.6 15373.1 20733.2 24078.8 38295.9 29170.3 28277.8 18985.6 32760.7 11427.4 47010.1 21409.8 35489.2 41544.6 24777.5 21753.2 18314.1 17734.4 13822.7 16299.6 25059.7 35258 18292 30205.6 20901.5 14791.7 34093.5 13615.3 19346 22775.92 10745.36 18395.36 15970.48 39770.48 11562.72 26894 31335.76 21583.2 21493.44 12847.92 32474.08 23117.28 14299.04 32116.4 30.75 32.25 39 66.75 45 22.5 45 44.25 52.5 66.75 68.25 34.5 33 16.5 63.75 57 57 72.75 17.25 33.75 72.75 39 47.25 34.5 38.25 68.25 47.25 60.75 28.5 53.25 72 33 42 20.7 13.95 30.15 19.35 45 25.65 34.2 31.95 10.35 27 12.6 35.1 32.4 9.9 22.5 18 19.5 17.25 17.25 17.25 21 15.75 16.5 21 16.5 17.25 21.75 18 16.5 21 15.75 22.5 19.5 16.5 21 18 15.75 15 18 21 19.5 17.25 21 21 15.75 16.5 18.75 21 9.9 10.8 11.25 12.6 13.05 12.6 11.25 13.5 11.7 11.25 13.05 11.25 10.8 10.8 11.7 58.5 56.25 71.25 46.5 60.75 69 67.5 59.25 48.75 72.75 54.75 70.5 45 73.5 50.25 72.75 50.25 47.25 61.5 61.5 71.25 49.5 71.25 74.25 49.5 66 63 67.5 54.75 73.5 60.75 72 63 33.75 44.1 38.7 38.7 36.9 42.3 33.3 31.5 29.7 32.85 42.75 36.9 36 32.85 29.7 21237.76 22414.16 19502.4 20601.28 28481.12 19069.92 39333.92 9358.16 10549.52 25094.72 25245.68 19224.96 13736 30810.8 15487.68 16972.8 13832.56 11637.52 33028.96 15086.48 44276.16 12196.48 13736 14879.76 21496.16 20507.44 15332.64 25187.2 23507.6 28111.2 22385.6 35905.36 20808 18500.08 16288.72 40242.4 20125.28 12298.48 16586.56 19263.04 30636.72 23336.24 22622.24 15188.48 26208.56 9141.92 37608.08 17127.84 31.5 40.05 14.85 13.5 24.75 31.95 33.75 23.4 13.5 36.9 17.1 37.35 14.85 40.95 18.45 13.5 12.6 13.05 31.05 16.2 29.25 27.9 28.35 35.55 19.35 18 32.4 36 20.25 38.25 27.9 44.1 18.45 19.35 23.4 40.05 27 13.5 27 26.55 31.5 40.05 40.95 20.7 19.8 9.9 38.25 34.2 10.35 11.25 12.15 12.6 10.8 13.05 11.25 9.9 9.9 11.25 13.05 11.25 10.35 13.05 9 12.15 9.9 9 13.5 9.9 12.6 10.35 12.15 10.8 11.7 12.6 11.25 10.35 11.25 9.45 9.45 12.15 10.8 11.7 10.35 10.35 10.35 12.6 9.45 9.9 12.6 9.9 10.35 13.05 10.8 9.9 12.6 9.45 33.3 44.55 41.85 30.15 32.4 38.7 31.95 44.55 39.6 33.3 29.7 44.1 34.2 33.3 33.75 32.85 37.35 32.85 33.3 31.5 29.25 42.75 41.85 42.3 29.7 29.7 37.8 30.6 41.4 35.55 27.9 29.25 35.1 33.75 42.75 27.9 36.45 41.4 40.5 35.55 29.25 43.65 32.85 42.3 27 44.1 30.15 43.65 28391.36 33235.68 19822 17402.56 14651.28 14187.52 11058.16 34.2 43.65 10.35 20.25 43.65 23.4 28.35 13.5 11.7 9.9 12.6 10.8 9.45 9 30.15 28.35 36.9 36.9 42.75 29.7 42.75

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!