The variables x and y represent two measurements thought to be related
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The variables x and y represent two measurements thought to be related

Question 3

The variables x and y represent two measurements thought to be related by a linear function.

a) What is the R2 percent for a straight line fit of y on x?

b) Compute a simple bootstrap 95% confidence interval for the slope parameter and compare to the normal theory confidence interval.

c) What (if anything) do you notice about the residuals of this simple linear regression?

Hint
StatisticsIt is also known that for simple regression (only one predictor), R2 is also the square of the correlation between x and y. Since the Corr(X,Y)=Corr(Y,X), the R2 will be the same for the regression of X on Y and the regression of Y on X. Note that other properties of the correlation will also be inherited by R2....
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