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Question: Zagat’s publishes restaurant ratings for various


Zagat’s publishes restaurant ratings for various locations in the United States. The file Restaurants contains the Zagat rating for food, décor, service, and cost per person for a sample of 50 center city restaurants and 50 metro area restaurants. Source: Data extracted from Zagat Survey 2016, New York City Restaurants. Develop a regression model to predict the cost per person, based on a variable that represents the sum of the ratings for food, décor, and service and a dummy variable concerning location (center city versus metro area). For (a) through (m), do not include an interaction term.
a. State the multiple regression equation.
b. Interpret the regression coefficients in (a).
c. Predict the mean cost for a center city restaurant with a summated rating of 60 and construct a 95% confidence interval estimate and a 95% prediction interval.
d. Perform a residual analysis on the model and determine whether the regression assumptions are satisfied.
e. Is there a significant relationship between price and the two independent variables (summated rating and location) at the 0.05 level of significance?
f. At the 0.05 level of significance, determine whether each independent variable makes a contribution to the regression model. Indicate the most appropriate regression model for this set of data.
g. Construct a 95% confidence interval estimate of the population slope for the relationship between cost and summated rating.
h. Compare the slope in (b) with the slope for the simple linear regression model of Problem 13.5 on page 493. Explain the difference in the results.
i. Compute and interpret the meaning of the coefficient of multiple determination.
j. Compute and interpret the adjusted r2.
k. Compare r2 with the r2 value computed in Problem 13.17 (b) on page 499.
l. Compute the coefficients of partial determination and interpret their meaning.
m. What assumption about the slope of cost with summated rating do you need to make in this problem?
n. Add an interaction term to the model and, at the 0.05 level of significance, determine whether it makes a significant contribution to the model.
o. On the basis of the results of (f) and (n), which model is most appropriate? Explain.
p. What conclusions can you reach about the effect of the summated rating and the location of the restaurant on the cost of a meal?


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> Refer to the discussion of beta values and market models in Problem 13.49 on page 513. The S&P 500 Index tracks the overall movement of the stock market by considering the stock prices of 500 large corporations. The file StockPrices2016 contains 2016 wee

> During the fall harvest season in the United States, pumpkins are sold in large quantities at farm stands. Often, instead of weighing the pumpkins prior to sale, the farm stand operator will just place the pumpkin in the appropriate circular cutout on th

> Referring to Problem 14.82, instead of predicting the unit density, you now wish to predict the foam diameter from results stored in PackagingFoam4 . Develop a multiple regression model that uses die temperature and die diameter to predict the foam diame

> An experiment was conducted to study the extrusion process of biodegradable packaging foam. Source: Data extracted from W. Y. Koh, K. M. Eskridge, and M. A. Hanna, “Supersaturated Split-Plot Designs,” Journal of Quality Technology, 45, January 2013, pp.

> Starbucks Coffee Co. uses a data-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that Starbucks needed to improve its package sealing process, an experiment was conducted to determine the fact

> HR practitioners are increasing performing gender pay audits to understand whether a gender gap exists at their company. Practitioners examine payroll data for evidence of a gender pay gap. An HR practitioner collects data on base pay ($), gender (0 = fe

> Nassau County is located approximately 25 miles east of New York City. The data organized and stored in GlenCove include the fair market value (in $thousands), land area of the property in acres, and age, in years, for a sample of 30 single-family homes

> You are a real estate broker who wants to compare property values in Glen Cove and Roslyn (which are located approximately 8 miles apart). In order to do so, you will analyze the data in GCRoslyn , a file that includes samples of houses from Glen Cove an

> A plastic injection molding process is often used in manufacturing because of its ability to mold complicated shapes. An experiment was conducted on the manufacture of a television remote part, and the warpage (mm) of the part was measured and stored in

> Referring to Problem 14.77, suppose that in addition to using ERA to predict the number of wins, the analytics specialist wants to include the league (0 = American, 1 = National) as an independent variable. Develop a model to predict wins based on ERA an

> A baseball analytics specialist wants to determine which variables are important in predicting a team’s wins in a given season. He has collected data related to wins, earned run average (ERA), and runs scored per game for a recent season (stored in Baseb

> A sample of 61 houses recently listed for sale in Silver Spring, Maryland, was selected with the objective of developing a model to predict the taxes (in $) based on the asking price of houses (in $thousands) and the age of the houses (in years) (stored

> Measuring the height of a California redwood tree is very difficult because these trees grow to heights over 300 feet. People familiar with these trees understand that the height of a California redwood tree is related to other characteristics of the tre

> A sample of 61 houses recently listed for sale in Silver Spring, Maryland, was selected with the objective of developing a model to predict the asking price (in $thousands), using the living space of the house (in square feet) and age (in years). The res

> Professional basketball has truly become a sport that generates interest among fans around the world. More and more players come from outside the United States to play in the National Basketball Association (NBA). You want to develop a regression model t

> The owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of

> Increasing customer satisfaction typically results in increased purchase behavior. For many products, there is more than one measure of customer satisfaction. In many, purchase behavior can increase dramatically with an increase in just one of the custom

> What is the difference between least squares regression and logistic regression?

> The business problem facing the director of broadcasting operations for a television station was the issue of standby hours (i.e., hours in which employees at the station are paid but are not actually involved in any activity) and what factors were relat

> In Problem 14.8 on page 542, you used the land area of a property and the age of a house to predict the fair market value (stored in GlenCove ). Using the results from that problem, a. determine whether there is a significant relationship between fair m

> When do you use logistic regression?

> When a dummy variable is included in a regression model that has one numerical independent variable, what assumption do you need to make concerning the slope between the dependent variable, Y, and the numerical independent variable, X?

> Under what circumstances do you include an interaction term in a regression model?

> How can you evaluate whether the slope of the dependent variable with an independent variable is the same for each level of the dummy variable?

> Why and how do you use dummy variables?

> How do the coefficients of partial determination differ from the coefficient of multiple determination?

> How does testing the significance of the entire multiple regression model differ from testing the contribution of each independent variable?

> How does the interpretation of the regression coefficients differ in multiple regression and simple linear regression?

> What is the difference between r2 and adjusted r2?

> A local supermarket manager wants to use two independent variables, customer age (in years) and whether the customer subscribes to the supermarket chain’s health/wellness e-newsletters (coded as 1 = yes and 0 = no) to predict which customers are likely t

> Referring to Problem 11.22, the effect of die temperature and die diameter on the foam diameter was also measured and the results stored in PackagaingFoam2. At the 0.05 level of significance, a. is there an interaction between die temperature and die dia

> Human resource managers face the business problem of assessing the impact of factors on full-time job growth. A human resource manager is interested in the impact of full-time voluntary turnover and total worldwide revenues on the number of full-time job

> A marketing manager wants to predict customers with the risk of churning (switching their service contracts to another company) based on the number of calls the customer makes to the company call center and the number of visits the customer makes to the

> An automotive insurance company wants to predict which filed stolen vehicle claims are fraudulent, based on the mean number of claims submitted per year by the policy holder and whether the policy is a new policy, that is, is one year old or less (coded

> Undergraduate students at Miami University in Oxford, Ohio, were surveyed in order to evaluate the effect of price on the purchase of a pizza from Pizza Hut. Students were first asked to imagine a situation in which they were planning to call and order f

> Referring to Problem 14.41 on page 567, you have decided to analyze whether there are differences in fixed acidity, chlorides, and pH between white wines and red wines (0 = white 1 = red). Using the data stored in RedandWhite , a. Develop a logistic regr

> A study was conducted to determine the factors involved in the rate of participation of discharged cardiac patients in a rehabilitation program. Data were collected from 516 treated patients. Source: Data extracted from F. Van Der Meulen, T. Vermaat, and

> Refer to Figure 14.14 on page 571. a. Predict the probability that a cardholder who charged $36,000 last year and does not have any additional credit cards for other authorized users will purchase the platinum card during the marketing campaign. b. Compa

> Consider the following logistic regression equation: ln (Estimated odds ratio) = 0.1 + 0.5X1i + 0.2X2i a. Interpret the meaning of the logistic regression coefficients. b. If X1 = 2 and X2 = 1.5, compute the estimated odds ratio and interpret its meaning

> Given an estimated odds ratio of 0.75, compute the estimated probability of an event of interest.

> Given an estimated odds ratio of 2.5, compute the estimated probability of an event of interest.

> An experiment was conducted to study the extrusion process of biodegradable packaging foam. Two of the factors considered for their effect on the unit density (mg>ml) were the die temperature (145 °C vs. 155 °C) and the die diameter (3 mm vs. 4 mm). The

> Interpret the meaning of a slope coefficient equal to 2.2 in logistic regression.

> The production of wine is a multibillion-dollar worldwide industry. In an attempt to develop a model of wine quality as judged by wine experts, data was collected from red wine variants of Portuguese “Vinho Verde” wine. A sample of 50 wines is stored in

> The director of a training program for a large insurance company has the business objective of determining which training method is best for training underwriters. The three methods to be evaluated are classroom, online, and courseware app. The 30 traine

> In Problem 14.7 on page 542, you used weekly staff count and remote hours to predict standby hours (stored in Nickels26Weeks ). Develop a regression model to predict standby hours that includes total staff present, remote hours, and the interaction of to

> In Problem 14.5 on page 542, the percentage of alcohol and chlorides were used to predict the quality of red wines (stored in VinhoVerde ). Develop a regression model that includes the percentage of alcohol, the chlorides, and the interaction of the perc

> In Problem 14.6 on page 542, you used full-time voluntary turnover (%), and total worldwide revenue ($billions) to predict number of full-time job openings (stored in BestCompanies ). Develop a regression model to predict the number of full-time job open

> In Problem 14.4 on page 541, you used efficiency ratio and total risk-based capital to predict ROAA at a community bank (stored in CommunityBanks ). Develop a regression model to predict ROAA that includes efficiency ratio, total risk-based capital, and

> The owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of

> In mining engineering, holes are often drilled through rock, using drill bits. As a drill hole gets deeper, additional rods are added to the drill bit to enable additional drilling to take place. It is expected that drilling time increases with depth. Th

> Given the results from Problem 11.20, a. at the 0.05 level of significance, is there an effect due to factor A? b. at the 0.05 level of significance, is there an effect due to factor B? c. at the 0.05 level of significance, is there an interaction effect

> In Problem 14.5 on page 542, you developed a multiple regression model to predict wine quality for red wines. Now, you wish to determine whether there is an effect on wine quality due to whether the wine is white (0) or red (1). These data are organized

> A real estate association in a suburban community would like to study the relationship between the size of a single-family house (as measured by the number of rooms) and the selling price of the house (in $thousands). Two different neighborhoods are incl

> Profitability remains a challenge for banks and thrifts with less than $2 billion of assets. The business problem facing a bank analyst relates to the factors that affect return on average assets (ROAA), an indicator of how profitable a company is relati

> The chair of the accounting department plans to develop a regression model to predict the grade point average in accounting for those students who are graduating and have completed the accounting major, based on a student’s SAT score and whether the stud

> Suppose X1 is a numerical variable and X2 is a dummy variable with two categories and the regression equation for a sample of n = 20 is a. Interpret the regression coefficient associated with variable X1. b. Interpret the regression coefficient associa

> In Problem 14.8 on page 542, you used land area of a property and age of a house to predict the fair market value (stored in GlenCove ). Using the results from that problem, a. at the 0.05 level of significance, determine whether each independent variabl

> In Problem 14.6 on page 542, you used full-time voluntary turnover (%), and total worldwide revenue ($billions) to predict the number of full-time job openings (stored in BestCompanies). Using the results from that problem, a. at the 0.05 level of signi

> In Problem 14.7 on page 542, you used the weekly staff count and remote engineering hours to predict standby hours (stored in Nickels26Weeks ). Using the results from that problem, a. at the 0.05 level of significance, determine whether each independent

> In Problem 14.4 on page 541, you used efficiency ratio and total risk-based capital to predict ROAA at a community bank (stored in CommunityBanks ). Using the results from that problem, a. at the 0.05 level of significance, determine whether each indepen

> In Problem 14.5 on page 542, you used alcohol percentage and chlorides to predict wine quality (stored in VinhoVerde ). Using the results from that problem, a. at the 0.05 level of significance, determine whether each independent variable makes a signifi

> Given a two-factor factorial experiment and the ANOVA summary table that follows, fill in all the missing results: Degrees of Freedom Sum of Mean Square Squares Source (Variance) F FsTaT = ? MSB = ? FSTAT = 11.0 A r - 1 = 2 SSA = ? MSA = 80 B c - 1

> The following is the ANOVA summary table for a multiple regression model with two independent variables: If SSR(X1) = 20 and SSR(X2) = 15, a. determine whether there is a significant relationship between Y and each independent variable at the 0.05 leve

> The following is the ANOVA summary table for a multiple regression model with two independent variables: If SSR(X1) = 45 and SSR(X2) = 25, a. determine whether there is a significant relationship between Y and each independent variable at the 0.05 leve

> In Problem 14.8 on page 542, you used land area of a property and age of a house to predict the fair market value (stored in GlenCove ). Using the results from that problem, a. construct a 95% confidence interval estimate of the population slope between

> A nonprofit analyst seeks to determine which variables should be used to predict nonprofit charitable commitment, a nonprofit organization commitment to its charitable purpose. Two independent variables under consideration are Revenue, a measurement of t

> In Problem 14.7 on page 542, you used the weekly staff present and remote engineering hours to predict standby hours (stored in Nickels26Weeks). Using the results from that problem, a. construct a 95% confidence interval estimate of the population slope

> In Problem 14.6 on page 542, you used full-time voluntary turnover (%) and total worldwide revenue ($billions) to predict the number of full-time job openings (stored in BestCompanies ). Using the results from that problem, a. construct a 95% confidence

> In Problem 14.5 on page 542, you used the percentage of alcohol and chlorides to predict wine quality (stored in VinhoVerde ). Using the results from that problem, a. construct a 95% confidence interval estimate of the population slope between wine quali

> In Problem 14.4 on page 541, you used efficiency ratio and total risk-based capital to predict ROAA at a community bank (stored in CommunityBanks ). Using the results from that problem, a. construct a 95% confidence interval estimate of the population sl

> In Problem 13.82 you used annual revenue to develop a model to predict the franchise value of National Basketball Association (NBA) teams. Can you also use the annual revenues generated by European soccer teams to predict franchise values? (European socc

> Can you use the annual revenues generated by National Basketball Association (NBA) franchises to predict franchise values? Figure 2.17 on page 68 shows a scatter plot of revenue with franchise value, and Figure 3.10 on page 148, shows the correlation coe

> Given a two-way ANOVA with two levels for factor A, five levels for factor B, and four replicates in each of the 10 cells, with SSA = 18, SSB = 64, SSE = 60, and SST = 150, a. form the ANOVA summary table and fill in all values in the body of the table.

> A baseball analyst would like to study various team statistics for a recent season to determine which variables might be useful in predicting the number of wins achieved by teams during the season. He begins by using a team’s earned run average (ERA), a

> On January 28, 1986, the space shuttle Challenger exploded, and seven astronauts were killed. Prior to the launch, the predicted atmospheric temperature was for freezing weather at the launch site. Engineers for Morton Thiokol (the manufacturer of the ro

> An accountant for a large department store has the business objective of developing a model to predict the amount of time it takes to process invoices. Data are collected from the past 32 working days, and the number of invoices processed and completion

> An analyst has the objective of predicting the return on average tangible common equity (ROATCE) of banks. The analyst begins by using efficiency ratio, a measure of a bank’s ability to turn resources into revenue. A sample of 100 American banks is selec

> In Problem 14.3 on page 541, you predicted nonprofit charitable commitment, based on nonprofit revenue (Revenue) and fundraising efficiency (Efficiency) for a sample of 98 nonprofit organizations. Use the following results: a. Construct 95% confidence

> You want to develop a model to predict the taxes of houses, based on asking price. A sample of 61 single-family houses listed for sale in Silver Spring, Maryland, a suburb of Washington, DC, is selected. The taxes (in $) and the asking price of the house

> You want to develop a model to predict the asking price of homes based on their size. A sample of 61 single-family houses listed for sale in Silver Spring, Maryland, a suburb of Washington, DC, is selected to study the relationship between asking price (

> Measuring the height of a California redwood tree is very difficult because these trees grow to heights of over 300 feet. People familiar with these trees understand that the height of a California redwood tree is related to other characteristics of the

> Management of a soft-drink bottling company has the business objective of developing a method for allocating delivery costs to customers. Although one cost clearly relates to travel time within a particular route, another variable cost reflects the time

> Can you use movie critics’ opinions to forecast box office receipts on the opening weekend? The following data, stored in Tomatometer , indicate the Tomatometer rating, the percentage of professional critic reviews that are positive, an

> Given the results from Problems 11.15 through 11.17, a. at the 0.05 level of significance, is there an effect due to factor A? b. at the 0.05 level of significance, is there an effect due to factor B? c. at the 0.05 level of significance, is there an int

> A manufacturer of pens has hired an advertising agency to develop an advertising campaign for the upcoming holiday season. To prepare for this project, the research director decides to initiate a study of the effect of advertising on product perception.

> The more costly and time-consuming it is to export and import, the more difficult it is for local companies to be competitive and to reach international markets. As part of an initial investigation exploring foreign market entry, 10 countries were select

> One of the steps involved in the processing of corn flakes for cereals involves toasting the flakes. The file CornFlakes contains the following data for corn flakes thickness (mm) for four different toasting times (seconds). Source: Data extracted from

> You are working with the same experiment as in Problem 11.5. a. At the 0.05 level of significance, state the decision rule for testing the null hypothesis that all four groups have equal population means. b. What is your statistical decision? c. At th

> Consider an experiment with four groups, with eight values in each. For the ANOVA summary table below, fill in all the missing results: Mean Degrees of Sum of Square (Variance) Source Freedom Squares F Among c - 1 = ? SSA = ? MSA = 80 FSTAT ? group

> Consider an experiment with three groups, with seven values in each. a. How many degrees of freedom are there in determining the among-group variation? b. How many degrees of freedom are there in determining the within-group variation? c. How many deg

> In Problem 14.7 on page 542, you used the weekly staff count and remote engineering hours to predict standby hours (stored in Nickels26Weeks ). Using the results from that problem, a. determine whether there is a significant relationship between standby

> You are working with the same experiment as in Problems 11.1 and 11.2. a. Construct the ANOVA summary table and fill in all values in the table. b. At the 0.05 level of significance, what is the upper-tail critical value from the F distribution? c. St

> You are working with the same experiment as in Problem 11.1. a. If SSA = 60 and SST = 210, what is SSW? b. What is MSA? c. What is MSW? d. What is the value of FSTAT? Problem 11.1: An experiment has a single factor with five groups and seven values

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> Do Americans trust advertisements? A survey by YouGov asked Americans who view advertisements at least once a month how honest the advertisements that they see, read, and hear are. The results were: a. At the 0.05 level of significance, is there evide

> Business leaders around the world are becoming aware of the huge potential of digital transformation. Fujitsu conducted as global survey to find out more about how business leaders are responding to the digital transformation revolution. To assess the ex

> What social media tools do marketers commonly use? The Social Media Examiner surveyed marketers who commonly use an indicated social media tool. Surveyed were both B2B marketers, marketers that focus primarily on attracting businesses, and B2C marketers,

> Undergraduate students at Miami University in Oxford, Ohio, were surveyed in order to evaluate the effect of gender and price on purchasing a pizza from Pizza Hut. Students were told to suppose that they were planning to have a large two-topping pizza de

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