hw_01_sol - Solution to Homework 1 The following data were...

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Solution to Homework 1 The following data were collected for a class of 20 students on reading readiness stanines (X) at the end of kindergarten and reading achievement stanines (Y) at the end of first grade. You want to examine how well the readiness scores predict reading achievement. X: 2 2 1 1 3 4 5 5 7 6 4 3 6 6 8 7 5 9 5 4 Y: 3 1 1 3 5 4 7 6 7 8 5 2 7 6 9 8 4 6 9 7 DO THE FOLLOWING BY HAND!!! 1. Calculate the least square estimates of the intercept and slope of the regression line of Y on X. = = - - = n 1 i 2 2 i n 1 i i i 1 X n X Y X n Y X b = 2 584 (20)(4.65)(5.4) 0.865 527 (20)(4.65) - = - b o = X b Y 1 - = 1.378 2. Specify the regression equation using your calculated estimates. 1 ˆ 1.378 0.865 o Y b b X X = + = + 3. Calculate the predicted values of Y associated with the sample values of X (that is, calculate ˆ i Y ). Make a column of these values. See attached MTB worksheet at Solutions 4. Calculate the residuals (e i ) corresponding to the predicted and observed values of Y. Make a column of these values
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This note was uploaded on 10/08/2010 for the course STAT 500 at Pennsylvania State University, University Park.

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hw_01_sol - Solution to Homework 1 The following data were...

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