1. The error term provides a measure of the variance due to random (or unsystematic) differences. When the treatment effect is zero (H0H0 is true), this term measures the same sources of variance as the numerator of the F-ratio, so the value of the F-ratio is expected to be nearly equal to what number? ____________________

2.Here is a bivariate data set.

x	y
72	40.3
61.3	56.5
55.5	70.5
70.4	58
88.2	17.9
70.3	49.2
69.4	43.3
57.7	55.9

A. What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. 100*r = _____________%

3.Here is data with y as the response variable.

x	y
38.1	44.3
56.5	67.9
47.9	56.9
33.3	52.9
52.4	71.9
49.3	65.8
44.3	59.7
137.7	152
36.6	49.6

Make a scatter plot of this data. Which point is an outlier? Hint: Copy the data and paste them into Excel. Then select the two columns. Then click Insert and choose the scatterplot icon. A. Find the regression equation for the data set with the outlier. Hint: Use Excel's =SLOPE(y_array,x_array) and =INTERCEPT(y_array,x_array) equations. ______________ Enter as an equation of the form y=b0+b1xy=b0+b1x. Rounded to three decimal places. Do not include the hat in y-hat. B. Find the regression equation for the data set without the outlier. Hint: First delete the point. Then use Excel's =SLOPE(y_array,x_array) and =INTERCEPT(y_array,x_array) equations. ______________ Enter as an equation of the form y=b0+b1xy=b0+b1x. Rounded to three decimal places. Do not include the hat in y-hat.