Question: Refer to the Johnson Filtration problem introduced

> In working further with the problem of exercise 4, statisticians suggested the use of the following curvilinear estimated regression equation. ŷ = b0 + b1x + b2x2 a. Use the data of exercise 4 to estimate the parameters of this estimated regression equa

> A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. y = β 0 + β1x + ε where y = traffic flow in vehicles per hour x = vehicle speed in miles per hour The following data were collect

> Consider the following data for two variables, x and y. a. Does there appear to be a linear relationship between x and y? Explain. b. Develop the estimated regression equation relating x and y. c. Plot the standardized residuals versus yÌ&#13

> According to the Census Bureau, 2,475,780 people are employed by the federal government in the United States as of 2018. Suppose that a random sample of 3,500 of these federal employees was selected and the number of sick hours each of these employees to

> Refer to the Cravens data set in Table 16.5. In Section 16.3 we showed that the estimated regression equation involving Accounts, AdvExp, Poten, and Share had an adjusted coefficient of determination of 88.1%. Use the .05 level of significance and apply

> The following data show the daily closing prices (in dollars per share) for a stock. Date ……………………… Price ($) Nov. 3 ……………………….. 82.87 Nov. 4 ………………………. 83.00 Nov. 7 ……………………….. 83.61 Nov. 8 ……………………….. 83.15 Nov. 9 ……………………….. 82.84 Nov. 10 ………………………..

> Mbuy is a media consulting firm that provides advice to companies on how to allocate their advertising budgets. Mbuy designed a factorial experiment to test the effect of the size of a banner ad on a website and the ad design on the number (in thousands)

> An automobile dealer conducted a test to determine whether the time needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, an

> Four different paints are advertised as having the same drying time. To check the manufacturers’ claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied

> The Jacobs Chemical Company wants to estimate the mean time (minutes) required to process a batch of material on mixer machines produced by three different manufacturers. To limit the cost of testing, four batches of material were mixed on machines produ

> Write a multiple regression equation that can be used to analyze the data for a two-factorial design with two levels for factor A and three levels for factor B. Define all variables.

> Write a multiple regression equation that can be used to analyze the data for a randomized block design involving three treatments and two blocks. Define all variables.

> Consider a completely randomized design involving four treatments: A, B, C, and D. Write a multiple regression equation that can be used to analyze these data. Define all variables.

> Consider the following data for two variables, x and y. a. Develop an estimated regression equation for the data of the form ŷ = β0 + β1x. Comment on the adequacy of this equation for predicting y. b. Develop an

> Suppose a sample of 10,001 erroneous Federal income tax returns from last year has been taken and is provided in the file FedTaxErrors. A positive value indicates the taxpayer underpaid and a negative value indicates that the taxpayer overpaid. a. What i

> Refer to exercise 14. Using age, blood pressure, whether a person is a smoker, and any interaction involving those variables, develop an estimated regression equation that can be used to predict risk. Briefly describe the process you used to develop an e

> Jeff Sagarin has been providing sports ratings for USA Today since 1985. In baseball his predicted RPG (runs per game) statistic takes into account the entire player’s offensive statistics, and is claimed to be the best measure of a pla

> The Ladies Professional Golfers Association (LPGA) maintains statistics on performance and earnings for members of the LPGA Tour. Year-end performance statistics for 134 golfers for 2014 appear in the file LPGA2014Stats (LPGA website). Earnings is the to

> A study provided data on variables that may be related to the number of weeks a person has been jobless. The dependent variable in the study (Weeks) was defined as the number of weeks a person has been jobless due to a layoff. The following independent v

> In 2016, the average monthly residential natural gas bill for Black Hills Energy customers in Cheyenne, Wyoming, is $67.95 (Wyoming Public Service Commission website). How is the monthly average gas bill for a Cheyenne home related to the square footage,

> A 10-year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of strokes. Data from a portion of this study follow. Risk is interpreted as the probability (times 100) that a person wi

> Refer to the description in exercise 12. a. Develop an estimated regression equation that can be used to predict the total earnings for all events given the average number of putts taken on greens hit in regulation. b. Develop an estimated regression equ

> Predicting LPGA Player’s Average Score. The Ladies Professional Golfers Association (LPGA) maintains statistics on performance and earnings for members of the LPGA Tour. Year-end performance statistics for 134 golfers for 2014 appear in the file LPGA2014

> In a regression analysis involving 30 observations, the following estimated regression equation was obtained: ŷ = 17.6 + 3.8x1 - 2.3x2 + 7.6x3 + 2.7x4 For this estimated regression equation SST = 1805 and SSR = 1760. a. At α = .05, test the significance

> In a regression analysis involving 27 observations, the following estimated regression equation was developed: ŷ = 25.2 + 5.5x1 For this estimated regression equation SST = 1550 and SSE = 520. a. At α = .05, test whether x1 is significant. Suppose that

> The Pew Research Center Internet Project, conducted in 2014 on the 25th anniversary of the Internet, involved a survey of 857 Internet users. It provided a variety of statistics on Internet users. For instance, in 2014, 87% of American adults were Intern

> Consider the following data for two variables, x and y. a. Develop an estimated regression equation for the data of the form ŷ = β0 + β1x. b. Use the results from part (a) to test for a significant relationship be

> Spring is a peak time for selling houses. The file SpringHouses contains the selling price, number of bathrooms, square footage, and number of bedrooms of 26 homes sold in Ft. Thomas, Kentucky, in spring 2018 (realtor.com website). a. Develop scatter plo

> The Condé Nast Traveler Gold List provides ratings for the top 20 small cruise ships. The data shown below are the scores each ship received based upon the results from Condé Nast Traveler’s annual Readers&acir

> PC Magazine provided ratings for several characteristics of computer monitors, including an overall rating (PC Magazine website). The following data show the rating for contrast ratio, resolution, and the overall rating for ten monitors tested using a 0&

> The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the conference (Conf), average number of passin

> The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow. a. Develop an estimated regression equation with the amount of televis

> The Tire Rack maintains an independent consumer survey to help drivers help each other by sharing their long-term tire experiences. The data contained in the file named TireRatings show survey results for 68 all-season tires. Performance traits are rated

> Over the past few years the percentage of students who leave Lakeland College at the end of the first year has increased. Last year Lakeland started a voluntary one-week orientation program to help first-year students adjust to campus life. If Lakeland i

> Community Bank would like to increase the number of customers who use payroll direct deposit. Management is considering a new sales campaign that will require each branch manager to call each customer who does not currently use payroll direct deposit. As

> In Table 15.12 we provided estimates of the probability of using the coupon in the Simmons Stores catalog promotion. A different value is obtained for each combination of values for the independent variables. a. Compute the odds in favor of using the cou

> A poll for the presidential campaign sampled 491 potential voters in June. A primary purpose of the poll was to obtain an estimate of the proportion of potential voters who favored each candidate. Assume a planning value of p* = .50 and a 95% confidence

> Refer to the Simmons Stores example introduced in this section. The dependent variable is coded as y = 1 if the customer used the coupon and 0 if not. Suppose that the only information available to help predict whether the customer will use the coupon is

> The Ladies Professional Golfers Association (LPGA) maintains statistics on performance and earnings for members of the LPGA Tour. Year-end performance statistics for 134 golfers for 2014 appear in the file named LPGA2014 (LPGA website, April 2015). Earn

> The following data show the curb weight, horsepower, and ¼-mile speed for 16 popular sports and GT cars. Suppose that the price of each sports and GT car is also available. The complete data set is as follows: a. Find the estimated regres

> Exercise 5 gave the following data on weekly gross revenue, television advertising, and newspaper advertising for Showtime Movie Theaters. a. Find an estimated regression equation relating weekly gross revenue to television and newspaper advertising. b

> Data for two variables, x and y, follow. a. Develop the estimated regression equation for these data. b. Compute the studentized deleted residuals for these data. At the .05 level of significance, can any of these observations be classified as an outli

> A shoe store developed the following estimated regression equation relating sales to inventory investment and advertising expenditures. ŷ = 25 + 10 x1 + 8 x2 where x1 = inventory investment ($1000s) x2 = advertising expenditures ($1000s) y = sales ($100

> Data for two variables, x and y, follow. a. Develop the estimated regression equation for these data. b. Plot the standardized residuals versus yˆ. Do there appear to be any outliers in these data? Explain. c. Compute the studentized deleted

> A 10-year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of strokes. Assume that the following data are from a portion of this study. Risk is interpreted as the probability (time

> Best Buy, a nationwide retailer of electronics, computers, and appliances, sells several brands of refrigerators. A random sample of models of full size refrigerators prices sold by Best Buy and the corresponding cubic feet (cu. ft.) and list price follo

> This problem is an extension of the situation described in exercise 35. a. Develop the estimated regression equation to predict the repair time given the number of months since the last maintenance service, the type of repair, and the repairperson who pe

> Fewer young people are driving. In 1995, 63.9% of people under 20 years old who were eligible had a driver’s license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample of 1200 people under

> A simple random sample with n = 54 provided a sample mean of 22.5 and a sample standard deviation of 4.4. a. Develop a 90% confidence interval for the population mean. b. Develop a 95% confidence interval for the population mean. c. Develop a 99% confide

> Management proposed the following regression model to predict sales at a fast-food outlet. y = β0 + β1x1 + β2x2 + β3x3 + e where x1 = number of competitors within one mile x2 = population within one mile (1000s) x3 = { 51 if drive-up window present

> Consider a regression study involving a dependent variable y, a quantitative independent variable x1, and a categorical independent variable with three possible levels (level 1, level 2, and level 3). a. How many dummy variables are required to represent

> Consider a regression study involving a dependent variable y, a quantitative independent variable x1, and a categorical independent variable with two levels (level 1 and level 2). a. Write a multiple regression equation relating x1 and the categorical va

> Refer to Problem 25. Use the estimated regression equation from part (a) to answer the following questions. a. Estimate the selling price of a four-year-old Honda Accord with mileage of 40,000 miles. b. Develop a 95% confidence interval for the selling p

> In exercise 24, an estimated regression equation was developed relating the percentage of games won by a team in the National Football League for the 2011 season given the average number of passing yards obtained per game on offense and the average numbe

> In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ŷ = 17.6 + 3.8 x1 - 2.3 x2 + 7.6x3 + 2.7 x4 a. Interpret b1, b2, b3, and b4 in this estimated regression equation. b. Predict y when x1 = 10, x

> In exercise 5, the owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (x1) and newspaper advertising (x2). The estimated regression equation was ŷ = 83.23 + 2.29

> Refer to the data in exercise 2. The estimated regression equation for those data is ŷ = 218.4 + 2.01x1 + 4.74x2 a. Develop a 95% confidence interval for the mean value of y when x1 = 47 and x2 = 10. b. Develop a 95% prediction interval for y when x1 =

> In exercise 1, the following estimated regression equation based on 10 observations was presented. ŷ = 29.1270 + .5906x1 + .4980x2 a. Develop a point estimate of the mean value of y when x1 = 180 and x2 = 310. b. Develop a point estimate for an individu

> For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to less inflation in health care prices and employees paying for a larger portion of health care benefits. A recent survey showed th

> In exercise 10, data showing the values of several pitching statistics for a random sample of 20 pitchers from the American League of Major League Baseball were provided. In part (c) of this exercise an estimated regression equation was developed to pred

> The Honda Accord was named the best midsized car for resale value for 2018 by the Kelley Blue Book (Kelley Blue Book website). The file AutoResale contains mileage, age, and selling price for a sample of 33 Honda Accords. a. Develop an estimated regressi

> The National Football League (NFL) records a variety of performance data for individuals and teams. A portion of the data showing the average number of passing yards obtained per game on offense (Off-PassYds/G), the average number of yards given up per g

> Refer to exercise 5. Use α = .01 to test the hypotheses H0: β 1 = β 2 = 0 Ha: β 1 and/or β2 is not equal to zero for the model y = β0 + β1x1 + β2x2 + e, wh

> In exercise 4, the following estimated regression equation relating sales to inventory investment and advertising expenditures was given. ŷ = 25 + 10x1 + 8x2 The data used to develop the model came from a survey of 10 stores; for these data SST = 16,000

> The following estimated regression equation was developed for a model involving two independent variables. ŷ = 40.7 1+ 8.63x1 + 2.71x2 After x2 was dropped from the model, the least squares method was used to obtain an estimated regression equation invo

> Refer to the data presented in exercise 2. The estimated regression equation for these data is ŷ = 218.37 + 2.01x1 + 4.74x2 Here SST = 15,182.9, SSR = 14,052.2, sb1 = .2471, and sb2 = .9484. a. Test for a significant relationship among x1,

> Consider the following data for a dependent variable y and two independent variables, x1 and x2. a. Develop an estimated regression equation relating y to x1. Predict y if x1 = 47. b. Develop an estimated regression equation relating y to x2. Predict y

> In exercise 1, the following estimated regression equation based on 10 observations was presented. ŷ = 29.1270 + .5906x1 + .4980x2 Here SST = 6724.125, SSR = 6216.375, sb1 = .0813, and sb2 = .0567. a. Compute MSR and MSE. b. Compute F and perform the ap

> Refer to exercise 10, where Major League Baseball (MLB) pitching statistics were reported for a random sample of 20 pitchers from the American League for one full season. a. In part (c) of exercise 10, an estimated regression equation was developed rela

> In June 2014, Pew Research reported that in 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm has been charged with conducting a sample survey to obtain more current information. a. What samp

> Revisit exercise 9, where we develop an estimated regression equation that can be used to predict the selling price given the number of bathrooms, square footage, and number of bedrooms in the house. a. Does the estimated regression equation provide a go

> In exercise 6, data were given on the average number of passing yards per attempt (Yds/Att), the number of interceptions thrown per attempt (Int/Att), and the percentage of games won (Win%) for a random sample of 16 National Football League (NFL) teams f

> In exercise 5, the owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (x1) and newspaper advertising (x2). The estimated regression equation was ŷ = 83.2 + 2.29

> In exercise 4, the following estimated regression equation relating sales to inventory investment and advertising expenditures was given. ŷ = 25 + 10 x1 + 8x2 The data used to develop the model came from a survey of 10 stores; for those data, SST = 16,0

> In exercise 3, the following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8 x1 - 2.3 x2 + 7.6 x3 + 2.7x4 The values of SST and SSR are 1805 and 1760, respectively. a. Compute R2. b. Compute R2a. c. Comment on the g

> In exercise 2, 10 observations were provided for a dependent variable y and two independent variables x1 and x2; for these data SST = 15,182.9, and SSR = 14,052.2. a. Compute R2. b. Compute R2a. c. Does the estimated regression equation explain a large a

> In exercise 1, the following estimated regression equation based on 10 observations was presented. ŷ = 29.1270 + .5906 x1 + .4980 x2 The values of SST and SSR are 6724.125 and 6216.375, respectively. a. Find SSE. b. Compute R2. c. Compute R2a. d. Commen

> Major League Baseball (MLB) consists of teams that play in the American League and the National League. MLB collects a wide variety of team and player statistics. Some of the statistics often used to evaluate pitching performance are as follows: ERA: The

> The estimated regression equation for a model involving two independent variables and 10 observations follows. ŷ = 29.1270 + .5906 x1 + .4980 x2 a. Interpret b1 and b2 in this estimated regression equation. b. Predict y when x1 = 180 and x2 = 310.

> David’s Landscaping 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. Data for 14 households may be found i

> According to Franchise Business Review, over 50% of all food franchises earn a profit of less than $50,000 a year. In a sample of 142 casual dining restaurants, 81 earned a profit of less than $50,000 last year. a. What is the point estimate of the propo

> The American Association of Individual Investors (AAII) On-Line Discount Broker Survey polls members on their experiences with discount brokers. As part of the survey, members were asked to rate the quality of the speed of execution with their broker as

> A sales manager collected the following data on annual sales for new customer accounts and the number of years of experience for a sample of 10 salespersons. a. Develop a scatter diagram for these data with years of experience as the independent variab

> The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the average number of passing yards per attempt

> The following data show the annual revenue ($ millions) and the estimated team value ($ millions) for 30 Major League Baseball teams (Forbes website). // a. Develop a scatter diagram with Revenue on the horizontal axis and Value on the vertical axis. L

> Retail chain Kroger has more than 2700 locations and is the largest supermarket in the United States based on revenue. Kroger has invested heavily in data, technology, and analytics. Feeding predictive models with data from an infrared sensor system call

> Charity Navigator is America’s leading independent charity evaluator. The following data show the total expenses ($), the percentage of the total budget spent on administrative expenses, the percentage spent on fundraising, and the perc

> Consider the following data for two variables, x and y. a. Compute the standardized residuals for these data. Do the data include any outliers? Explain. b. Compute the leverage values for these data. Do there appear to be any influential observations i

> Consider the following data for two variables, x and y. a. Compute the standardized residuals for these data. Do the data include any outliers? Explain. b. Plot the standardized residuals against yˆ. Does this plot reveal any outliers? c. De

> Production Line Speed and Quality Control. Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that m

> Occasionally, it has been the case that home prices and mortgage rates dropped so low that in a number of cities the monthly cost of owning a home was less expensive than renting. The following data show the average asking rent for 10 markets and the mon

> One of the questions Rasmussen Reports included on a 2018 survey of 2.500 likely voters asked if the country is headed in the right direction. Representative data are shown in the file RightDirection. A response of Yes indicates that the respondent does

> Refer to exercise 7, where an estimated regression equation relating years of experience and annual sales was developed. a. Compute the residuals and construct a residual plot for this problem. b. Do the assumptions about the error terms seem reasonable

> Data on advertising expenditures and revenue (in thousands of dollars) for the Four Seasons Restaurant follow. Advertising Expenditures ……………………………………………………………. Revenue 1 …………………………………………………………………………………………………………. 19 2 ……………………………………………………………………………………………

> The following data were used in a regression study. a. Develop an estimated regression equation for these data. b. Construct a plot of the residuals. Do the assumptions about the error term seem to be satisfied?

> Given are data for two variables, x and y. a. Develop an estimated regression equation for these data. b. Compute the residuals. c. Develop a plot of the residuals against the independent variable x. Do the assumptions about the error terms seem to be

> Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the participant to wear a helmet that is certified by the Snell Memorial Foundation, a

> Sherry is a production manager for a small manufacturing shop and is interested in developing a predictive model to estimate the time to produce an order of a given size—that is, the total time to produce a certain quantity of the product. She has collec

> A regression model relating x, number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following computer output from a regression analysis of the data. a. Write the estimated regression equati

> Following is a portion of the computer output for a regression analysis relating y = maintenance expense (dollars per month) to x = usage (hours per week) of a particular brand of computer. a. Write the estimated regression equation. b. Use a t test to