In problem 13.4 on page 493, you used the percentage of alcohol to predict wine quality. The data are stored in VinhoVerde. From the results of the problem, b 1 = 0.5624 and S b 1 = 0.1127. a. At the 0.05 level of significance, is there evidence of a linear relationship between the percentage of alcohol and wine quality? b. Construct a 95 % confidence interval estimate of the population slope, β 1 .
In problem 13.4 on page 493, you used the percentage of alcohol to predict wine quality. The data are stored in VinhoVerde. From the results of the problem, b 1 = 0.5624 and S b 1 = 0.1127. a. At the 0.05 level of significance, is there evidence of a linear relationship between the percentage of alcohol and wine quality? b. Construct a 95 % confidence interval estimate of the population slope, β 1 .
Solution Summary: The author concludes that there exists a linear relationship between the alcohol percentage and quality of wine.
In problem 13.4 on page 493, you used the percentage of alcohol to predict wine quality. The data are stored in VinhoVerde. From the results of the problem,
b
1
=
0.5624
and
S
b
1
=
0.1127.
a. At the 0.05 level of significance, is there evidence of a linear relationship between the percentage of alcohol and wine quality?
b. Construct a
95
%
confidence interval estimate of the population slope,
β
1
.
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
1. Let X and Y be random variables and suppose that A = F. Prove that
Z XI(A)+YI(A) is a random variable.
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