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In a regression problem with 2 input variables, we construct a classification tree with 4 terminal nodes. This means（multiple choices)
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There was either four splits in only one of the input variables or one split in each of the input variable. |
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There was a split in one of the input variables and no splits in the other. |
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There was a split in each input variable. |
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There was either a split in each input variable or three splits in only one of the input variables. |
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There were 2 splits in each of the input variables. |
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- if a study determines the difference in average salary for subpopulations of people with blue eyes and people with brown eyes is not significant then the populations are blue-eyed people and brown-eyed people are what different salariesA researcher randomly selected 158 personal vehicles and noted the type of vehicle and its color. The two-way table displays the data. A 5-column table with 4 rows. Column 1 has entries sedan, S U V, convertible, total. Column 2 is labeled Red with entries 14, 9, 20, 43. Column 3 is labeled Blue/Green with entries 31, 19, 6, 56. Column 4 is labeled Black/Gray with entries 22, 34, 3, 59. Column 5 is labeled Total with entries 67, 62, 29, 158. The columns are titled Vehicle color and the rows are titled vehicle type. Suppose a vehicle is randomly selected. Let event C = convertible and R = red. What is the value of P(R|C)? StartFraction 29 Over 158 EndFraction StartFraction 43 Over 158 EndFraction StartFraction 20 Over 43 EndFraction StartFraction 20 Over 29 EndFractionIf a group of data 4,6,3,8,5,5,9,10, and 30 were gathered, which will be the best torepresent the average?
- A researcher is given a sample with variables (x, y) where x represents the number of points a player will score in a game and y represents that player's height. On this sample the researcher found that the coefficient of determination was 0.887. Explain and interpret, in a single sentence, the meaning of this coefficient in terms of variables x and y. (Credit only for a single concise sentence).uppose Laura, a facilities manager at a health and wellness company, wants to estimate the difference in the average amount of time that men and women spend at the company's fitness centers each week. Laura randomly selects 13 adult male fitness center members from the membership database and then selects 13 adult female members from the database. Laura gathers data from the past month containing logged time at the fitness center for these members. She plans to use the data to estimate the difference in the time men and women spend per week at the fitness center. The sample statistics are summarized in the table. Population Populationdescription Population mean(unknown) Samplesize Sample mean(min) Sample standarddeviation (min) 1 male ?1 ?1=13 ?⎯⎯⎯1=132.5 ?1=45.3 2 female ?2 ?2=13 ?⎯⎯⎯2=108.7 ?2=31.1 df=21.256 The population standard deviations are unknown and unlikely to be equal, based on the sample data. Laura plans to use the two-sample ?-procedures to estimate the…Tupps Motors which was established in year 2000, sells 5 brands of new passenger vehicles Holden, Toyota, Ford, Mitsubishi and Nissan which were the market leaders in 2000. As years passed the General Manager of Tupps Motors, Brian Tupps, noticed that brands such as Holden, Ford and Nissan are not selling as much as they used to. In 2018, Brian Tupps discusses his observation with his recent Business graduate son, Ben Tupps, and they both decided to collect Australia-wide sales data of the top 10 brands of passenger vehicles in 2018 to see how the market share of the different brands have changed. Again, in 2023, Brian wanted Ben to analyse the Australia-wide post-pandemic sales data for 2022 and provide him with up-to-date advice on the market share of the 10 brands of passenger vehicles. Data on the number of passenger vehicles sales for the top 10 brands of passenger vehicles in 2018 and 2022 are provided in file 1Sales.xlsx. [Note that to make comparisons easier Ben collected data…
- The sales manager of a large automotive parts distributor wants to estimate the total annual sales for each of the company’s regions. Five factors appear to be related to regional sales: the number of retail outlets in the region, the number of automobiles in the region registered as of April 1, the total personal income recorded in the first quarter of the year, the average age of the automobiles (years), and the number of sales supervisors in the region. The data for each region were gathered for last year. For example, see the following table. In region 1 there were 1,739 retail outlets stocking the company’s automotive parts, there were 9,270,000 registered automobiles in the region as of April 1, and so on. The region’s sales for that year were $37,702,000. constant outlet automobile reg income age bosses 37.702 1,739 9.27 85.4 3.5 9 24.196 1,221 5.86 60.7 5 5 32.055 1,846 8.81 68.1 4.4 7 3.611 120 3.81 20.2 4 5 17.625 1,096 10.31 33.8 3.5 7 45.919 2,290 11.62 95.1…A medical researcher wishes to try three different techniques to lower cholesterol levels of patients with highcholesterol levels. The subjects are randomly selected and assigned to one of three groups. Group 1 is givenmedication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of sixweeks, each subject's cholesterol level is recorded. Use the printout from Minitab to make a decision andconcluesion about the mean cholesterol levels found in the groups after the different techniquess were applied.Use΅= 0.05. Group 1 9, 12, 11, 15, 13, 8 Group 2 8, 3, 2, 5, 4, 0 Group 3 6, 12, 4, 4, 9, 8 A) Hypothesis Ho : Ha : B) Decision to reject or fail to reject Ho based on the Minitab printout. C) Conclusion about the problem statement as it pertains to cholesterol and the groups.The file MidCity Download MidCitycontains data on 128 recent sales in Mid City. For each sale, the file shows the neighborhood (1, 2, or 3) in which the house is located, the number of offers made on the house, the square footage, whether the house is made primarily of brick, the number of bathrooms, the number of bedrooms, and the selling price. Neighborhoods 1 and 2 are more traditional neighborhoods, whereas neighborhood 3 is a newer, more prestigious neighborhood. Part A) Do buyers pay a premium for a brick house, all else being equal? Use one Excel spreadsheet labeled Prob3a to show your work for this problem. Part B) Is there a premium for a house in neighborhood 3, all else being equal? Use one Excel spreadsheet labeled Prob3b to show your work for this problem. Home Nbhd Offers Sq Ft Brick Bedrooms Bathrooms Price 1 2 2 1790 No 2 2 228600 2 2 3 2030 No 4 2 228400 3 2 1 1740 No 3 2 229600 4 2 3 1980 No 3 2 189400 5 2 3 2130 No 3 3 239600 6 1 2 1780 No 3 2 229200…
- The file MidCity Download MidCitycontains data on 128 recent sales in Mid City. For each sale, the file shows the neighborhood (1, 2, or 3) in which the house is located, the number of offers made on the house, the square footage, whether the house is made primarily of brick, the number of bathrooms, the number of bedrooms, and the selling price. Neighborhoods 1 and 2 are more traditional neighborhoods, whereas neighborhood 3 is a newer, more prestigious neighborhood. Home Nbhd Offers Sq Ft Brick Bedrooms Bathrooms Price 1 2 2 1790 No 2 2 228600 2 2 3 2030 No 4 2 228400 3 2 1 1740 No 3 2 229600 4 2 3 1980 No 3 2 189400 5 2 3 2130 No 3 3 239600 6 1 2 1780 No 3 2 229200 7 3 3 1830 Yes 3 3 303200 8 3 2 2160 No 4 2 301400 9 2 3 2110 No 4 2 238400 10 2 3 1730 No 3 3 208000 11 2 3 2030 Yes 3 2 265000 12 2 2 1870 Yes 2 2 246000 13 1 4 1910 No 3 2 205200 14 1 5 2150 Yes 3 3 252600 15 3 4 2590 No 4 3 353600 16 3 1 1780 No 4 2 291600 17 2 4 2190 Yes 3 3…The file MidCity Download MidCitycontains data on 128 recent sales in Mid City. For each sale, the file shows the neighborhood (1, 2, or 3) in which the house is located, the number of offers made on the house, the square footage, whether the house is made primarily of brick, the number of bathrooms, the number of bedrooms, and the selling price. Neighborhoods 1 and 2 are more traditional neighborhoods, whereas neighborhood 3 is a newer, more prestigious neighborhood. PROBLEM 1: Construct 3 different confidence intervals. Part A) Sort and filter the data from the MidCity file so that you only consider the data from neighborhood 1. Construct a 99% confidence interval for the square footage of all homes in neighborhood 1. Make sure you list the specific equations you are using, ALL variables, show ALL work etc., in your report. You can use Excel to complete all computations. Remember to interpret these confidence intervals in the context of this problem. Use one Excel spreadsheet…If a study determines the difference in average salary for sub populations of people with blue eyes and people with brown eyes is not significant, then the populations of blue eyed people and brown eyed people are?
