You are given the following data set: {(0,0), (0.5,0.6), (1,0.9), (1.1, 1), (1.5

Question

You are given the following data set: {(0,0), (0.5,0.6), (1,0.9), (1.1, 1), (1.5, 1.7)}, where the first coordinate is the independent (explanatory) variable, and the second coordinate is the dependent variable.

(a) Find a best fit model if the model is restricted to just be a constant (i.e. the best fit line has slope 0). (b) What is the mean squared error of (a)?

(c) What is the mean squared error of the model that has y-intercept 0 and slope 1? How much of the variation of the data can be explained by the independent variable (i.e. what is the R2) using the model from part (c)?

Explanation / Answer

Solution:

X

0

0.5

1

1.1

Go tot data analysis>Regression

Solutionc:

MSE=0.021835

model is

y=-0.01528+1.043027X

R sq=0.9572=0.9572*100=95.72% varaition in dependent varaible is expalined by independent variable good model.

X

0

0.5

1

1.1

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