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1. In a PC World comparison of computer hard drives, data describing the drives included the following variables: price (dollars), disk capacity (gigabytes), and rotational speed (RPM). The data are in file XR17027. With y 5 price, x1 5 disk capacity, and x2 5 rotational speed (coded as 1 5 7200 RPM and 0 5 5400 RPM), determine the linear regression equation for estimating price as a function of the two predictor variables and interpret the partial regression coefficients. For a given storage capacity, how much extra would one expect to pay for a hard drive with the higher rotational speed? Source: Stan Miastkowski,
2. For a small sample of suburban homes recently sold, the selling price ($), living space (square feet), and suburban area (Sunny Haven, Easy Acres, or Rolling Hills) have been recorded. Given the data shown here, determine the linear regression equation for estimating selling price based on the other variables. For any qualita- tive variables that are used, be sure to specify the coding strategy employed for each. Comment on the explanatory power of the regression equation and interpret the partial regression coefficients.
"Livin' Large," PC World, March 2001, p. 109.
17.28 A researcher has observed 50 automatic teller
machine (ATM) users outside the gift shop of a museum,
and the data are in file XR17028. With y 5 amount with-
drawn (dollars), x1 5 time required for the transaction
(seconds), and x2 5 gender (1 5 female, 0 5 male),
determine the linear regression equation for estimating
the withdrawal amount as a function of the two predic-
tor variables and interpret the partial regression coef-
ficients. According to the equation, how much difference
does gender tend to make in the amount withdrawn?
Repeat part (a), but with an interaction term included. Interpreting the R2 value, to what extent has inclusion of the interaction term improved the model's explanatory power
Of the models in this section, which one would result in the highest R2 value while at the same time reducing the possibility that the researcher might "miss" an important a
a. Determine the multiple regression equation and interpret the partial regression coefficients. b. What is the estimated freshman GPA for a student who scored 1100 on the SAT
For the regression equation obtained in Exercise 16.19, analyze the residuals by (a) constructing a histogram, (b) utilizing the normal probability plot, and (c) plotting th
An efficiency expert wants to determine whether the time an assembly worker requires to perform a standard task might be related to (1) the number of years on the job and (2
Determine the least-squares regression line and interpret its slope. Estimate, for a new employee who scores 60 on the sales aptitude test, the number of units the new emplo
Testing the null hypothesis that the slope of the true regression line equals zero is equivalent to testing whether the true coefficient of correlation could be zero. Why?
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