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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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