ps3_2010 - STAT 203 PROBLEM SET 3 (1) An economist studying...

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STAT 203 PROBLEM SET 3 (1) An economist studying the relation between household electricity consumption ( Y ) and number of rooms in the home ( X ) employed linear regression model and obtained residuals listed in ±le Electric- ityConsumption.txt . Plot the residuals versus X . What problem appears to be present here? Might a transformation alleviate this problem? (2) RABE Problem 7.4. (3) This problem uses data from a study of computer-assisted learning by 12 students, showing the total number of responses in completing a lesson ( X ) and the cost of computer time ( Y , in cents). (a) Fit a linear regression function by ordinary least squares. Ob- tain the residuals, and plot the residuals against X . What does the residual plot suggest? (b) Plot the absolute values of the residuals against X . What does this plot suggest about the relation between the standard devi- ation of the error term and X ? (c) Estimate the standard deviation function by regressing the ab-
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This note was uploaded on 04/25/2010 for the course MATH 30 taught by Professor Karaali during the Spring '08 term at Pomona College.

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ps3_2010 - STAT 203 PROBLEM SET 3 (1) An economist studying...

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