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Category > Statistics Posted 06 May 2017 My Price 10.00

A freshly brewed shot of espresso has three distinct components

 

A freshly brewed shot of espresso has three distinct components: the heart, 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, cappuccino, or other drinks, 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, ruining the final drink. Thus, a longer separation time allows the drink-maker more time to pour the shot and 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 of the portafilter (that is, the harder the tamp, the larger the distance). The dependent variable Time is the number of seconds the heart, body, and crema are separated (that is, the amount of time after the shot is poured before it must be used for the customers beverage). The data are stored in the file espresso.xls:

a. Determine the prediction line, using Time as the dependent variable and Tamp as the independent variable.

b. Predict the mean 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 reason to question the validity of the model?

 

 

 
 

Answers

Alpha Geek
(8)
Status NEW Posted 06 May 2017 04:05 PM My Price 10.00

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Attachments

file 1494087298-Answer.docx preview (340 words )
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