A landscaping company has collected data on home values (in thousands of $) and expenditures (in thousands of $) on landscaping with the hope of developing a predictive model to help marketing to potential new clients. Suppose the following table represents data for 14 households. Home Value ($1,000) Landscaping Expenditures ($1,000) 241 8.2 322 10.7 199 12.1 340 16.1 300 15.7 400 18.8 800 23.5 200 9.5 522 17.5 548 22.0 436 12.2 463 13.5 635 17.8 357 13.8 (a) Develop a scatter diagram with home value as the independent variable. A scatter diagram has a horizontal axis labeled "Home Value ($1,000)" with values from 0 to 900 and a vertical axis labeled "Landscaping Expenditures ($1,000)" with values from 0 to 25. The scatter diagram has 14 points. A pattern goes down and right from (199, 21.8) to (800, 6.5). The points are scattered moderately from the pattern.   A scatter diagram has a horizontal axis labeled "Landscaping Expenditures ($1,000)" with values from 0 to 25 and a vertical axis labeled "Home Value ($1,000)" with values from 0 to 900. The scatter diagram has 14 points. A pattern goes up and right from (8.2, 199) to (23.5, 800). The points are scattered moderately from the pattern.   A scatter diagram has a horizontal axis labeled "Home Value ($1,000)" with values from 0 to 900 and a vertical axis labeled "Landscaping Expenditures ($1,000)" with values from 0 to 25. The scatter diagram has 14 points. A pattern goes up and right from (199, 8.2) to (800, 23.5). The points are scattered moderately from the pattern.   A scatter diagram has a horizontal axis labeled "Landscaping Expenditures ($1,000)" with values from 0 to 25 and a vertical axis labeled "Home Value ($1,000)" with values from 0 to 900. The scatter diagram has 14 points. A pattern goes down and right from (6.5, 800) to (21.8, 199). The points are scattered moderately from the pattern. (b) What does the scatter plot developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a negative linear relationship between home value and landscaping expenditures.The scatter diagram indicates a positive linear relationship between home value and landscaping expenditures.    The scatter diagram indicates a nonlinear relationship between home value and landscaping expenditures.The scatter diagram indicates no apparent relationship between home value and landscaping expenditures. (c) Use the least squares method to develop the estimated regression equation. (Let x = home value (in thousands of $), and let y = landscaping expenditures (in thousands of $). Round your numerical values to five decimal places.) ŷ =        (d) For every additional $1,000 in home value, estimate how much additional will be spent (in $) on landscaping. (Round your answer to the nearest cent.) $  (e) Use the equation estimated in part (c) to predict the landscaping expenditures (in $) for a home valued at $475,000. (Round your answer to the nearest dollar.)

Steve Taylor is the owner of Home Plus, which is a chain of home improvement stores. He would like to investigate the relationship between month advertising and monthly sales. The table below shows the amount spent on advertising, in millions of dollars, over several months along with the corresponding sales, also in millions of dollars. Month Advertising($ millions) Sales($ millions) 1 3 11 2 3 13 3 4 12 4 5 21 5 1 7 Use the Home Plus data to calculate: The standard error of the estimate. The 95% confidence interval for the average sales for a month where $4 million was spent on advertising.

In the digital age of marketing, special care must be taken to make sure that programmatic ads appearing on websites align with a company's strategy, culture and ethics. For example, in 2017, Nordstrom, Amazon and Whole Foods each faced boycotts from social media users when automated ads for these companies showed up on the Breitbart website (ChiefMarketer.com). It is important for marketing professionals to understand a company's values and culture. The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 4 6 7 3 6 6 3 5 6 4 5 5 5 5 6 5 6 6 Find the value of the test statistic.   Find the p-value. (Round your answer to three decimal places.) p-value =  (b) At the ? = 0.05 level of significance, we can conclude that there are differences in the perceptions for marketing…

Calculate and interpret relative measures of variability for the Daily Income for each of the three categories of Type of service.

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A landscaping company has collected data on home values (in thousands of $) and expenditures (in thousands of $) on landscaping with the hope of developing a predictive model to help marketing to potential new clients. Suppose the following table represents data for 14 households. HomeValue($1,000) LandscapingExpenditures($1,000) 243 8.2 322 10.7 199 12.3 340 16.3 300 15.7 400 18.8 800 23.5 200 9.5 522 17.5 548 22.0 438 12.2 463 13.5 635 17.8 357 13.8 a. Use the least squares method to develop the estimated regression equation. (Let x = home value (in thousands of $), and let y = landscaping expenditures (in thousands of $). Round your numerical values to five decimal places.) b. Use the equation estimated in part (b) to predict the landscaping expenditures (in $) for a home valued at $275,000. (Round your answer to the nearest dollar.)

We sometimes hear that getting married is good for your career. Assume the table presents data from one of the studies behind this generalization that classifies men ages 18 and over according to marital status and annual income. We include only data on men to avoid sex bias. Income No income $1-$49,999 $50,000-$99,999 $100,000 and over Total Marital status and salary level (thousands of men) Marital Status Single men with no income: Single (Never Married) 5403 25,696 6152 2145 39,396 Married 1256 31,569 22,145 14,588 69,558 Divorced 563 6210 3112 1912 11,797 Widowed 145 2439 650 301 3535 What percentage of single men have no income? Give your answer to one decimal place. Total 7367 65,914 32,059 18,946 124,286 %

Dixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in the southern U.S. The owners would like to estimate weekly gross revenue as a function of advertising expenditures. Data for a sample of eight markets for a recent week follow. Market Mobile Shreveport Jackson Birmingham Little Rock Biloxi New Orleans Baton Rouge Weekly Gross Revenue Television Advertising Newspaper Advertising ($100s) 101.3 51.9 74.8 126.2 137.8 101.4 237.8 219.6 ($100s) 5.0 3.0 4.0 4.3 3.6 3.5 5.0 6.9 + (a) Use the data to develop an estimated regression equation with the amount of television advertising as the independent variable. Let x represent the amount of television advertising. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) ŷ ($100s) 1.5 3.0 1.5 4.3 4.0 2.3 8.4 5.8 X Test for a significant relationship between television advertising and weekly…

The table below gives the percent of U.S. seniors (aged 65+ years) who used the internet in selected years.    Year 2012 2014 2016 2018 2019 % of U.S. seniors using internet 54 57 64 66 73   Use a line of best-fit to predict the percent of U.S. seniors who will use the internet in the year 2022. A. 74 %  B.76 %  C.77 %  D.79 %  E.81 %

mpute Marshall – Edgeworth price index number for the following data by taking 2016 as base year. Items sold out in a men's wear 2017. 2016 GRSH Prices Quantity Quantity Prices Shirts 900 175 700 150 Pants 1200 150 1000 100 Sandals 600 100 500 70 Shoes 1800 60 1500 50 150 Belts Watches 400 100 600 250 300 1500 1200