Question: The table below gives data on X = water content of snow on April 1 and Y = water yield in inches from April to July in the Snake River watershed in Wyoming. There are 17 cases, corresponding to the years 1919 to 1935.

Presumably, if X = 0, then Y = 0, so it is reasonable to fit a line through the origin, (0,0).

1. Make a scatter - plot of the above data and include the least squares regression line through the data points. [ HINT : Use MINITAB for this exercise. P aste the printout of the scatter-plot including the least squares regression line, as well as the MINITAB OUTPUT: the regression line; R – Sq; R – Sq (adj); Standard deviation, etc. on the space below. Otherwise, make the scatter-plot including the least squares regression line by hand in the space below.]

(b) From the MINITAB OUTPUT in question (a), write down the least squares regression line through the origin.

(c) Use your answer from part (a) to predict the yield Y for a year when the water content X is 40 inches.

(d) How much confidence do you have in the accuracy of your prediction from part (c)?

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