Consider the following summary output, which was generated from a sample of 8 employees relating age to annual salary. SUMMARY OUTPUT Regression Statistics Multiple R 0.138089232 R Square 0.019068636 Adjusted R Square -0.144419925 Standard Error 1.46902996 Observations 8. ANOVA df SS MS F Regression 1 0.251706 0.252 0.116775 Residual 6. 12.948294 2.158 Total. 7. 13.2
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- A statistical program is recommended. Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel alignment and balancing machine. Managers feel that maintenance expense should be related to usage, and they collected the following information on weekly usage (hours) and annual maintenance expense (in hundreds of dollars). Weekly Usage(hours) AnnualMaintenanceExpense 13 17.0 10 22.0 20 30.0 28 37.0 32 47.0 17 30.5 24 32.5 31 39.0 40 51.5 38 40.0 #1) Develop the estimated regression equation that could be used to predict the annual maintenance expense (in hundreds of dollars) given the weekly usage (in hours). (Round your numerical values to two decimal places.) #2) The expected expense of a machine being used 34 hours per week is $ hundred.When companies are designing a new product, one of the steps typically taken is to see how potential buyers react to a picture or prototype of the proposed product. The product-development team for a notebook computer company has shown picture A to a large sample of potential buyers and picture B to another, asking each person to indicate what they "would expect to pay" for such a product. The data resulting from the two pictures are provided in file (sheet 6). Using the 0.05 level of significance, determine whether the prototypes might not really differ in terms of the price that potential buyers would expect to pay. Sheet 6 ComputerA ComputerB 3 317 2 965 2 680 3 083 3 286 3 137 2 859 2 950 2 693 3 161 2 945 2 918 2 908 3 158 3 193 3 082 3 240 2 903 3 040 3 103…. A professor at the University of Iowa was interested in evaluating whether domestic dispute calls were more dangerous to officers than other types of calls. Collecting information on call for service and whether the call resulted in officer injury. The data is displayed in the contingency table below. Type of Call Domestic Dispute Not a Domestic Dispute Officer Injury No 128 675 Yes 245 786 Using the information to complete Table 1 and answer the questions below. Table 1. Chi-square Category Observed Expected O – E (O – E)2 (O – E)2/E No, Domestic 128 163.31 -35.31 1246..796 7.64 No, Not Domestic 675 639.69 35.31 1246.796 1.95 Yes, Domestic 245 209.69 35.31 11506.85 5.951.52 Yes, Not Domestic 786 821.31 -35.31 1246.796 Using an alpha level of 0.05, are domestic calls more dangerous for officers than other types of calls? Compute…
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- Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is equal for each types of car. Use α = 5%. Compact Midsize Full-size 643 655 702 680 672 469 427 525 495 483 484 465 402 476 435 State the null and alternate hypothesis for the data. Given the results, what will be the conclusion of the team?The production manager at Oliver Steel, a manufacturer of wheelchairs, wants to compare the number of defective wheelchairs produced on the day shift with the number on the night shift. A sample of the production from six day shifts and eight night shifts revealed the following number of defects. Day 5 8 7 6 9 7 Night 8 10 7 11 9 12 14 9 At the 0.5% significance level, the production manager wants to know whether the day shift is less than the night shift in the mean number of defects. a) State the null hypothesis and the alternate hypothesis. b) What is the decision rule? c) What is the value of the test statistic? d) What is your decision regarding the null hypothesis? e) Interpret the result. f) What assumptions are necessary for this testListed below are amounts of nicotine (mg per cigarette) in king-size cigarettes, 100-mm menthol cigarettes, and 100-mm nonmenthol cigarettes. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. King Menthol One Hundred 1.1 1.1 0.4 1.7 0.8 1.0 1.7 1.0 1.2 1.1 0.9 0.8 1.1 0.8 0.8 1.4 0.8 1.0 1.1 0.8 1.1
- A study of college students in the city of Pemblington found that 8% had been victims of violent crimes. a) statistics b) parameterAn agent for a residential real estate company in a large city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward that goal, the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 25 apartments in a particular residential neighborhood and collects the following data: Size (square feet) Rent ($) 850 1950 1450 2600 1085 2200 1232 2500 718 1950 1485 2700 1136 2650 726 1935 700 1875 956 2150 1100 2400 1285 2650 1985 3300 1369 2800 1175 2400 1225 2450 1245 2100 1259 2700 1150 2200 896 2150 1361 2600 1040 2650 755 2200 1000 1800 1200 2750 Make a Normal Probability Plot and a Residual plot of the Residuals (Y axis) vs. Apartment Size (X axis). Based on these results,…An agent for a residential real estate company in a large city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward that goal, the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 25 apartments in a particular residential neighborhood and collects the following data: Size (square feet) Rent ($) 850 1950 1450 2600 1085 2200 1232 2500 718 1950 1485 2700 1136 2650 726 1935 700 1875 956 2150 1100 2400 1285 2650 1985 3300 1369 2800 1175 2400 1225 2450 1245 2100 1259 2700 1150 2200 896 2150 1361 2600 1040 2650 755 2200 1000 1800 1200 2750 (a) Construct a scatter plot. (b) Use the least-squares method to determine the regression coefficients (intercept and slope). (c)…