Explanatory power of the regression equation

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Reference no: EM13995442

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 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 qualitative 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.

Home

Price

Space

Area

17.28  A researcher has observed 50 automatic   teller

1

167,900

2860

Easy

machine (ATM)  users outside the gift shop of a    museum,

2

184,800

2050

Sunny

and the data are in file XR17028. With 5 amount  with-

3

161,000

2110

Rolling

drawn (dollars), x1 5 time required for the transaction

4

160,800

2950

Easy

(seconds), and x2 5 gender (1 5 female, 0 5 male),

5

148,200

1570

Sunny

determine the linear regression equation for estimating

6

128,600

1860

Rolling

the withdrawal amount as a function of the two predic-

7

145,700

2620

Rolling

tor variables and interpret the partial regression  coef-

8

178,500

2010

Sunny

ficients. According to the equation, how much difference

9

146,100

2710

Easy

does gender tend to make in the amount Withdrawn?

10

146,300

2200

Rolling

 

Reference no: EM13995442

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Information for a sample of local homes : Data file XR16056 lists the following information for a sample of local homes sold recently: selling price (dol- lars), lot size (acres), living area (square feet), and whether the home is air conditioned (1 5 AyC, 0 5 no AyC).

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