Question

Given the following data set: X: 3 7 9 11 15 Y: 11 16 16 16...

Given the following data set: X: 3 7 9 11 15 Y: 11 16 16 16 16

a. Find the correlation coefficient.

b. What is the regression equation?

c. Using the regression to predict the value of Y when X = 11.

d. What is the predicted residual when X = 11?

e. Find the root mean square error.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a)

correlation coefficient r =0.7500

b)

regression equation : yhat =11.625+0.375*x

c)

predicted value =11.625+0.375*11=15.75

d) residual =actual-predicted =16-15.75 =0.25

e)

SSE =Syy-(Sxy)2/Sxx= 8.7500
error Variance σ2 = s2 =SSE/(n-2) = 2.9167
root mean square error σ              = se =√s2 = 1.7078
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