The production of wine is a mult-billion-dollar worldwide industry. In an attemp
ID: 3043574 • Letter: T
Question
The production of wine is a mult-billion-dollar worldwide industry. In an attempt to develop a model of wine quality as judged by wine experts, data was collected from red wine variants from a particular type of foreign wine. A multiple linear regression model was developed from a sample of 45 wines. The model as used to predict wine quality measured on a scale from 0 very bad to 10 excellent based on te alcohol content(% and the amount of chlorides. Use the accompanying results to complete parts (a) and (b) below. Standard Variable Cooffcient Error Statstic p-alue Intercep Alcohol, X 1.23498 .11547 0.42637 0.10568 1.11 4.03 2.49 0.1373 0.0002 0.0084 Chlorides, x29.11804 3.66052 a. Construct a 95% confidence interval estimate of the population slope between wine quality and the percentage of alcohol. .2131 s 1s .6396 (Round to four decimal places as needed.) b. At the 0.05 level of significance, determine whether each independent variable makes a significant contribution to the regression model. On the basis of these results, indicate the independent variables to include in this model Choose the correct hypotheses for X, below. H1 : 10 H1 : 1-1 H1 : ,71 Find the test statistic for X STAT Type an integer or a decimal. Do not round.)Explanation / Answer
test statistic for coefficient X1 is
t stat= coefficient/ S.E
=0.42637/0.10568
= 4.03
critical value of t for (n-2) d.f at 0.05 level of significance = 2.02
Since Critical value of t is SMALLER than the CALCUALTED VALUE of t , we REJECT NULL HYPOTHESIS at 0.05 level of significance.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.