Basic Business Statistics, Student Value Edition
Basic Business Statistics, Student Value Edition
14th Edition
ISBN: 9780134685113
Author: Mark L. Berenson, David M. Levine, David F. Stephan, Kathryn Szabat
Publisher: PEARSON
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Chapter 13, Problem 37PS

A freshly brewed shot of espresso has three distinct components: the hear, body, and crema. The separation of these three components typically lasts only 10 to 20 seconds. To use the espresso shot in making a latte, a cappuccino, or another drink, the shot must be poured into the beverage during the separation of the heart, body, and crema. If the shot is used after the separation occurs, the drink becomes excessively bitter and acidic, running the final drink. Thus, a longer separation time allows the drink-maker more time to pour the shot ensure that the beverage will meet expectations. An employee at a coffee shop hypothesized that the harder the espresso grounds were tamped down into the portafilter before brewing, the longer the separation time would be. An experiment using 24 observations was conducted to test this relationship. The independent variable Tamp measures the distance, in inches, between the espresso grounds and the top the portafilter (i.e., the harder the tamp, the greater the distance). The dependent variable Time is the number of seconds the hear, body and crema are separate (i.e., the amount of time after the shot is poured before it must be used for the customer’s beverage.) The data are stored in Espresso.

a. Use the latest-squares method to develop a simple regression equation with Time as the dependent variable.

b. Predict the separation time for a tamp distance of 0.50 inch.

c. Plot the residuals versus the time order of experimentation. Are there any noticeable patterns?

d. Compute the Durbin-Watson statistic. At the 0.05 level of significance, is there evidence of positive autocorrelation among the residuals?

e. Based on the results of (c) and (d), is there to question the validity of the model?

f. What conclusions can you reach concerning the effect of tamping on the time of separation?

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Chapter 13 Solutions

Basic Business Statistics, Student Value Edition

Ch. 13 - How do you interpret a coefficient by of...Ch. 13 - If SSR= 36 and SSE=4, determine SST and then...Ch. 13 - If SSR=66 and SST=88, Compute the coefficient of...Ch. 13 - If SSE= 10 and SSR=30, compute the coefficient of...Ch. 13 - If SSR=120, Why is it impossible for SST to equal...Ch. 13 - In problem 13.4 on page 493, the percentage of...Ch. 13 - In problem 13.5 on page 493, you used the summated...Ch. 13 - In Problem 13.6 on page 494, a prospective MBA...Ch. 13 - In Problem 13.7 on page 494, you used the plate...Ch. 13 - In problem 13.8 on page 494, you used annual...Ch. 13 - In problem 13.9 on page 494, an agent for a real...Ch. 13 - In problem 13.10 on page 494, you used You tube...Ch. 13 - The following results provide the X Values,...Ch. 13 - The following results show the X Values,...Ch. 13 - In problem 13.5 on page 493, you used the summated...Ch. 13 - In problem 13.4 on page 493, you used the...Ch. 13 - In problem 13.7 on page 494, you used the plate...Ch. 13 - In problem 13.6 on page 494, a prospective MBA...Ch. 13 - In problem 13.9 on page 494, an agent for a real...Ch. 13 - Prob. 30PSCh. 13 - Prob. 31PSCh. 13 - The residuals for 10 consecutive time periods are...Ch. 13 - The residuals for 15 consecutive time periods are...Ch. 13 - In Problem 13.7 on page 494 concerning the...Ch. 13 - What is the relationship between the price of...Ch. 13 - Prob. 36PSCh. 13 - A freshly brewed shot of espresso has three...Ch. 13 - The owners of a chain of ice cream stores have the...Ch. 13 - You are testing the null hypothesis that there is...Ch. 13 - Prob. 40PSCh. 13 - Prob. 41PSCh. 13 - In problem 13.4 on page 493, you used the...Ch. 13 - Prob. 43PSCh. 13 - In problem 13.6 on page 494, a prospective MBA...Ch. 13 - In Problem 13.7 on page 494, you used the plate...Ch. 13 - Prob. 46PSCh. 13 - In Problem 13.9 on page 494, an agent for a real...Ch. 13 - In Problem 13.10 on page 494, you used you used...Ch. 13 - The volatility of a stock is often measured by its...Ch. 13 - Prob. 50PSCh. 13 - Prob. 51PSCh. 13 - Movie companies need to predict the gross receipts...Ch. 13 - Prob. 53PSCh. 13 - Prob. 54PSCh. 13 - Prob. 55PSCh. 13 - Based on a sample of n=20, the latest-squares...Ch. 13 - Prob. 57PSCh. 13 - In Problem 13.4 on page 493, you used the...Ch. 13 - In Problem 13.7 on page 494, you used the plate...Ch. 13 - In Problem 13.6 on page 494, a prospective MBA...Ch. 13 - Prob. 61PSCh. 13 - Prob. 62PSCh. 13 - In problem 13.10 on page 494, you used YouTube...Ch. 13 - Prob. 64PSCh. 13 - Prob. 65PSCh. 13 - When is the unexplained variation (i.e., error sum...Ch. 13 - Prob. 67PSCh. 13 - Prob. 68PSCh. 13 - Prob. 69PSCh. 13 - How do you evaluate the assumptions of regression...Ch. 13 - When and how do you use the Durbin-Watson...Ch. 13 - Prob. 72PSCh. 13 - Can you use movie critics’ opinions to forecast...Ch. 13 - Management of a soft-drink botting company has the...Ch. 13 - Measuring the height of a California redwood tree...Ch. 13 - You want to develop a model to predict the asking...Ch. 13 - You want to develop a model to predict the taxes...Ch. 13 - An analyst has the objective of predicting the...Ch. 13 - An accountant for a large department store has the...Ch. 13 - On January 28, 1986, the space shuttle Challenger...Ch. 13 - A baseball analyst would like to study various...Ch. 13 - Can you use the annual revenues generated by...Ch. 13 - In Problem 13.82 you used annual revenue to...Ch. 13 - During the fall harvest season in the United...Ch. 13 - Refer to the discussion of beta values and market...Ch. 13 - The file CEO 2016 includes the total compensation...Ch. 13 - In Problem 13.8, 13.20, 13.30, 13.46, 13.62,...
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