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The production of wine is a multi-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 línear regression model was developed from a sample of 50 wines. The model was used to predict wine quality, measured on a scale from 0 (very bad) to 10 (excellent) based on the alcohol content (%) and the amount of chlorides. Use the accompanying results to complete parts (a) and (b) below. Standard Error 1.16001 t Statistic 1.34 Variable Coefficient p-value 0.0937 1.55186 Intercept Alcohol, X, 0.48746 0.11601 4.20 0.0001 Chlorides, X, -9.56404 3.67997 -2.60 0.0125 ..... Choose the correct hypotheses for X, below. O A. Ho =0 O B. H, P2=1 H, +1 OC. Ho P 1 H, =1 OD. H, 0 H, 2 =0 Find the test statistic for X, STAT O (Type an integer or decimal rounded to two decimal places as needed.) Determine the p-value for X2 p-value =O (Type an integer or decimal rounded to four decimal places as needed.) Reach a condlusion for X2 V H, There V sufficient evidence that X, 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 answer below O A. Incdude only the variable X,. O B. Include only the variable X,

The production of wine is a multi-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 línear regression model was developed from a sample of 50 wines. The model was used to predict wine quality, measured on a scale from 0 (very bad) to 10 (excellent) based on the alcohol content (%) and the amount of chlorides. Use the accompanying results to complete parts (a) and (b) below. Standard Error 1.16001 t Statistic 1.34 Variable Coefficient p-value 0.0937 1.55186 Intercept Alcohol, X, 0.48746 0.11601 4.20 0.0001 Chlorides, X, -9.56404 3.67997 -2.60 0.0125 ..... Choose the correct hypotheses for X, below. O A. Ho =0 O B. H, P2=1 H, +1 OC. Ho P 1 H, =1 OD. H, 0 H, 2 =0 Find the test statistic for X, STAT O (Type an integer or decimal rounded to two decimal places as needed.) Determine the p-value for X2 p-value =O (Type an integer or decimal rounded to four decimal places as needed.) Reach a condlusion for X2 V H, There V sufficient evidence that X, 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 answer below O A. Incdude only the variable X,. O B. Include only the variable X,

MATLAB: An Introduction with Applications
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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The production of wine is a multi-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 50 wines. The model was used to predict wine quality, measured on a scale from 0 (very bad) to 10 (excellent) based on the alcohol content (%) and the amount of chlorides. Use the accompanying results to complete parts (a) and (b) below. Standard Error t Statistic 1.34 p-value 0,0937 Variable Coefficient 1.55186 Intercept Alcohol, X1 Chlorides, X 1.16001 0.48746 0.11601 4.20 0.0001 - 9,56404 3.67997 -2.60 0.0125 ...... Choose the correct hypotheses for X2 below. O B. H, B=1 H, +1 O D. H, 2#0 H,: 2 =0 O A. Ho B2=0 OC. Ho: B +1 H, 2=1 Find the test statistic for X, (Type an integer or decimal rounded to two decimal places as needed.) Determine the p-value for X. p-value = (Type an integer or decimal rounded to four decimal places as needed.) Reach a conclusion for X,. H, There V sufficient evidence that X, 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 answer below. O A. Include only the variable X,. O B. Include only the variable X,. O C. Include neither variable X, nor variable X, O D. Include both variables X, and X,
Transcribed Image Text:The production of wine is a multi-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 50 wines. The model was used to predict wine quality, measured on a scale from 0 (very bad) to 10 (excellent) based on the alcohol content (%) and the amount of chlorides. Use the accompanying results to complete parts (a) and (b) below. Standard Error t Statistic 1.34 p-value 0,0937 Variable Coefficient 1.55186 Intercept Alcohol, X1 Chlorides, X 1.16001 0.48746 0.11601 4.20 0.0001 - 9,56404 3.67997 -2.60 0.0125 ...... Choose the correct hypotheses for X2 below. O B. H, B=1 H, +1 O D. H, 2#0 H,: 2 =0 O A. Ho B2=0 OC. Ho: B +1 H, 2=1 Find the test statistic for X, (Type an integer or decimal rounded to two decimal places as needed.) Determine the p-value for X. p-value = (Type an integer or decimal rounded to four decimal places as needed.) Reach a conclusion for X,. H, There V sufficient evidence that X, 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 answer below. O A. Include only the variable X,. O B. Include only the variable X,. O C. Include neither variable X, nor variable X, O D. Include both variables X, and X,
The production of wine is a multi-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 50 wines. The model was used to predict wine quality, measured on a scale from 0 (very bad) to 10 (excellent) based on the alcohol content (%) and the amount of chlorides. Use the accompanying results to complete parts (a) and (b) below. Standard t Statistic 1.34 Variable Coefficient p-value 0.0937 0.0001 Error Intercept Alcohol, X 1.55186 0.48746 1.16001 0.11601 4 20 Chlorides, X, - 9.56404 3.67997 -2.60 0.0125 ...... a. Construct a 95% confidence interval estimate of the population slope between wine quality and the percentage of alcohol. (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. O A. Ho P=1 H, P, 1 O B. Ho: B =0 H,: P, 40 OC. Ho Pi 0 H, P, =0 OD. Ho: Pi +1 H,: P, =1 Find the test statistic for X, (Type an integer or decimal rounded to two decimal places as needed.) Determine the p-value for X p-value =D (Type an integer or decimal rounded to four decimal places as needed) Reach a conclusion for X, V H, There Y to the regression model sufficient evidence that X, makes a significant contribution Choose the correct hypotheses for X, below O A. H, 2=0 O B. Ho 2=1
Transcribed Image Text:The production of wine is a multi-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 50 wines. The model was used to predict wine quality, measured on a scale from 0 (very bad) to 10 (excellent) based on the alcohol content (%) and the amount of chlorides. Use the accompanying results to complete parts (a) and (b) below. Standard t Statistic 1.34 Variable Coefficient p-value 0.0937 0.0001 Error Intercept Alcohol, X 1.55186 0.48746 1.16001 0.11601 4 20 Chlorides, X, - 9.56404 3.67997 -2.60 0.0125 ...... a. Construct a 95% confidence interval estimate of the population slope between wine quality and the percentage of alcohol. (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. O A. Ho P=1 H, P, 1 O B. Ho: B =0 H,: P, 40 OC. Ho Pi 0 H, P, =0 OD. Ho: Pi +1 H,: P, =1 Find the test statistic for X, (Type an integer or decimal rounded to two decimal places as needed.) Determine the p-value for X p-value =D (Type an integer or decimal rounded to four decimal places as needed) Reach a conclusion for X, V H, There Y to the regression model sufficient evidence that X, makes a significant contribution Choose the correct hypotheses for X, below O A. H, 2=0 O B. Ho 2=1
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