# hw2answers-fa07 - Statistics 501 Homework Assignment 2...

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Statistics 501 Homework Assignment 2 ANSWERS 1. a. With slope = 0, the line would be horizontal (with same value of mean y) as you moved across the x- values. b. A slope = 0 would mean that, on average, y does not change when x is changed. Thus any specific values of x have no affect on values of y. A slope not equal to 0 would mean that, on average, y does change when x is changed. Thus a specific value of x has an affect on values of y. 2. a. For testing slope = 0, p -value = 0.001. We can conclude that the population slope is not 0. b. T = Coef/SE Coef = 0.5138/0.3177 = 3.73 c. Confidence interval estimate of unknown value of the population slope is 0.5138 ± (2.05×0.1377), which is 0.5138 ± 0.2823 For the multiplier, df = 30 – 2 = 28; t-multiplier = 2.05. d. (10%) Source DF (degrees of freedom) SS (Sum of Squares) MS (Mean square) Regression 1 55.34-36.95 =18.39 18.39/1=18.39 Error 30 – 2 = 28 36.95 36.95/28=1.32 Total 30 – 1 = 29 55.34 ************* e. 332

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## This note was uploaded on 03/19/2008 for the course STAT 501 taught by Professor Heckard,robertf during the Fall '07 term at Penn State.

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hw2answers-fa07 - Statistics 501 Homework Assignment 2...

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