Question 33

A researcher wanted to determine if there was a relationship between new home sales (X) and appliance sales (Y) so data were gathered from 8 cities from the previous 6 months (so 8 data points total). The sum of the new home sales data is 17,552 and when each home sale value is squared and then summed, the resulting sum is 45,024,320. The sum of the appliance sales data is 2,887 and when each of the appliance sale value is squared and then summed, the resulting sum is 1,150,915. The sum(XY) ... each X data point multiplied by its corresponding Y and then summed ... is 6,992,963. Using this information, calculate SSxx, SSyy, SSxy, the slope of the regression line, the standard error of the slope and construct a 95% confidence interval for the true (unobservable) population slope. Data for this problem are expressed in millions