RegressionAnalysisClass

RegressionAnalysisClass - Demystifying RegressionAnalysis X...

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Demystifying Regression Analysis: X and Y Together 1) Santa has come to us becausehe has a problem. It seems that his younger reindeers have been hard to motivate, and they aren’t as knowledgeable or productive as the older reindeer. Santa, unfortunately, has only anecdotal information, so he has come to us to find out if there really is a relationship between age of reindeer and complaints. Age of Reindeer (X) Number of Complaints (Y) 1 20 1 15 3 17 3 14 4 15 5 11 5 8 5 10 7 9 10 8 2) Create a Graph (not shown), Age of Reindeer , the independent variable on x-axis and number of complaints is dependent variable, on y-axis. 3) List intermediate calculations for regression equation and Pearson’s R x y X 2 Y 2 xy 1 20 1 400 20 1 15 1 225 15 3 17 9 289 51 3 14 9 196 42 4 15 16 225 60 5 11 25 121 55 5 8 25 64 40 5 10 25 100 50 7 9 49 81 63 10 8 100 64 80 Total 44 127 260 1765 476 4) Calculate the slope (b): ( 29 ( 29 ( 29 - = N N Y X - XY slope X X 2 2
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5) Calculate the intercept: a= y –b x = 12.7 – (–1.25) 4.4= 12.7 – (–5.5) = 18.2
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