For the year 2017, 90% adults in the U.S. population aged 25 and older had completed high school. The attainment of a bachelor’s degree or higher for the same population stood at 34%. Assuming, that one must complete their high school before studying for their bachelor's, with H denoting those who have completed high school and B those who have completed their bachelors, draw a decision tree to help you find the following: P(H) (B|H) P (H and B) P (Hand B’) Source: High School Completion Rate Is Highest in U.S. History
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For the year 2017, 90% adults in the U.S. population aged 25 and older had completed high school. The attainment of a bachelor’s degree or higher for the same population stood at 34%. Assuming, that one must complete their high school before studying for their bachelor's, with H denoting those who have completed high school and B those who have completed their bachelors, draw a decision tree to help you find the following:
- P(H)
- (B|H)
- P (H and B)
- P (Hand B’)
Source: High School Completion Rate Is Highest in U.S. History
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- The National Highway Association is studying the relationship between the number of bidders on a highway project and the winning (lowest) bid for the project. Of particular interest is whether the number of bidders increases or decreases the amount of the winning bid. Bidders Price 9.0 5.1 9.0 8.0 3.0 9.7 10.0 7.8 5.0 7.7 10.0 5.5 7.0 8.3 11.0 5.5 6.0 10.3 6.0 8.0 4.0 8.8 7.0 9.4 7.0 8.6 7.0 8.1 6.0 7.8 Given: Correlation of Coefficient: 0.7064 (This is correct) Coefficient of determination: 49.90% (This is correct) ŷ = 11.2360 + (-0.4667)x (This is correct) Create a scatter plot of the data Complete a regression analysis of the relationship. Slope = ______ Estimate the winning bid if there were seven bidders. Winning bid cost ______ millions. Compute the 95% prediction interval for a winning bid if there are seven bidders. [ _____________, ______________]The National Highway Association is studying the relationship between the number of bidders on a highway project and the winning (lowest) bid for the project. Of particular interest is whether the number of bidders increases or decreases the amount of the winning bid. Bidders Price 9.0 5.1 9.0 8.0 3.0 9.7 10.0 7.8 5.0 7.7 10.0 5.5 7.0 8.3 11.0 5.5 6.0 10.3 6.0 8.0 4.0 8.8 7.0 9.4 7.0 8.6 7.0 8.1 6.0 7.8 GIVEN: correlation coefficient: - 0.7064 Slope: -0.4667 Coefficient of determination: 49.90% regression equation: ŷ= 11.2360 + (-4467)x FIND: Estimate the winning bid if there were seven bidders. Winning bid cost _________ millions. Explain. Compute the 95% prediction interval for a winning bid if there are seven bidders. [ _______________ , _______________ ] (Explain).The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature.
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- The trend in home building in recent years has been to emphasize open spaces and great rooms, rather than smaller living rooms and family rooms. A builder of speculative homes in the college community of Oxford, Ohio, had been building such homes, but his homes had been taking many months to sell and had been selling for substantially less than the asking price. In order to determine what types of homes would attract residents of the community, the builder contacted a statistician at a local college. The statistician went to a local real estate agency and obtained the data contained in file OxHome. This data includes the sales price (measured in thousand dollars), square footage, number of rooms, number of bedrooms, and age for each of 60 single-family residences recently sold in the community. Using this data, a regression model was built to predict the sales price of houses in this community. The regression equation from the model is: sales price (thousand dollars) = 19.5 + 0.1079…The trend in home building in recent years has been to emphasize open spaces and great rooms, rather than smaller living rooms and family rooms. A builder of speculative homes in the college community of Oxford, Ohio, had been building such homes, but his homes had been taking many months to sell and had been selling for substantially less than the asking price. In order to determine what types of homes would attract residents of the community, the builder contacted a statistician at a local college. The statistician went to a local real estate agency and obtained the data contained in file OxHome. This data includes the sales price (measured in thousand dollars), square footage, number of rooms, number of bedrooms, and age for each of 60 single-family residences recently sold in the community. Using this data, a regression model was built to predict the sales price of houses in this community. The regression equation from the model is: sales price (thousand dollars) = 19.5 + 0.1079…The trend in home building in recent years has been to emphasize open spaces and great rooms, rather than smaller living rooms and family rooms. A builder of speculative homes in the college community of Oxford, Ohio, had been building such homes, but his homes had been taking many months to sell and had been selling for substantially less than the asking price. In order to determine what types of homes would attract residents of the community, the builder contacted a statistician at a local college. The statistician went to a local real estate agency and obtained the data contained in file OxHome. This data includes the sales price (measured in thousand dollars), square footage, number of rooms, number of bedrooms, and age for each of 60 single-family residences recently sold in the community. Using this data, a regression model was built to predict the sales price of houses in this community. The regression equation from the model is: sales price (thousand dollars) = 19.5 + 0.1079…
- The Royal Seas Company runs a three-night cruise to the Caribbean from Port Canaveral. The company wants to run TV ads promoting its cruises to high-income men, high-income women, and retirees. The company has decided to consider airing ads during prime time, afternoon soap operas, and during the evening news. The number of exposures (in millions) expected to be generated by each type of ad in each of the company's target audiences is summarized in the following table: Prime Time Soap Operas Evening News High-income men 6 3 6 High-income women 3 4 4 Retirees 4 7 3 Ads during prime time, the afternoon soaps, and the news hour cost $120,000, $85,000, and $100,000, respectively. Royal Seas wants to achieve the following goals: Goal 1: Spend approximately $900,000 on TV advertising. Goal 2: Generate approximately 45 million exposures among high-income men. Goal 3: Generate approximately 65 million exposures among high-income women. Goal 4: Generate approximately 60 million…Suppose Ted is creating a football team in a video game that features many NFL players. He decides to identify players who are outliers in a few statistics he has chosen. Currently, he's looking at wide receivers. The game includes the top 100 receivers in 2012 by number of receptions. Ted, however, is more interested in receiving yards, and the table shows the five-number summary of the available players in the game (in yards): Minimum 1st quartile (Q1) Median 3rd quartile (Q3) Maximum 258.0 549.5 743.0 936.5 1964.0 The mean is 787.6 yds with a standard deviation of 311.3 yds. Ted first calculates the interquartile range (IQR). Next, to determine suspected outliers, he calculates Q1−1.5⋅???Q1−1.5⋅IQR and Q3+1.5⋅???Q3+1.5⋅IQR. Specify those results to at least one decimal place. Q1−1.5⋅???Q1−1.5⋅IQR = Q3+1.5⋅???Q3+1.5⋅IQR =