QUESTION THREE The following table shows, for eight vintages of select wine, purchases per buyer (y) and the buyer's rating in a year (x): X 3.6 3.2 3.1 6.0 4.1 2.5 3.0 5.1 Y 20 22 23 17 28 25 20 28 (a) Estimate the regression of purchases per buyer on the buyer's rating. (b) Interpret the slope of the estimated (c) Find and interpret the coefficient of determination (d) Find and interpret a 90%, confidence interval for the slope of the population regression line. (e) Find a 90% confidence interval for expected purchases per buyer for a vintage for which the buyer a rating is 2.0. (f) Test at 5% level of significance whether there is a significant linear between purchases per buyer and the buyer's rating.

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QUESTION THREE
The following table shows, for eight vintages of select wine, purchases per buyer (y) and the
buyer's rating in a year (x):
X
3.6
3.2
3.1
6.0
4.1
2.5
3.0
5.1
Y
20
22
23
17
28
25
20
28
(a) Estimate the regression of purchases per buyer on the buyer's rating.
(b) Interpret the slope of the estimated
(c) Find and interpret the coefficient of determination
(d) Find and interpret a 90%, confidence interval for the slope of the population regression line.
(e) Find a 90% confidence interval for expected purchases per buyer for a vintage for which the
buyer a rating is 2.0.
(f) Test at 5% level of significance whether there is a significant linear between purchases per
buyer and the buyer's rating.
Transcribed Image Text:QUESTION THREE The following table shows, for eight vintages of select wine, purchases per buyer (y) and the buyer's rating in a year (x): X 3.6 3.2 3.1 6.0 4.1 2.5 3.0 5.1 Y 20 22 23 17 28 25 20 28 (a) Estimate the regression of purchases per buyer on the buyer's rating. (b) Interpret the slope of the estimated (c) Find and interpret the coefficient of determination (d) Find and interpret a 90%, confidence interval for the slope of the population regression line. (e) Find a 90% confidence interval for expected purchases per buyer for a vintage for which the buyer a rating is 2.0. (f) Test at 5% level of significance whether there is a significant linear between purchases per buyer and the buyer's rating.
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