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A group of chemical engineers are trying to determine the cost of refining a mixture based on the concentration of a particular chemical. After refining 50 samples of the mixture and recording the cost they fit a simple linear regression model to the data. Partial computer output is given below. Predictor Constant Coef SE Coef T P 2.51 0.563 4.45 <0.0001 Concentration 2.55 0.980 2.61 0.0122 A scatterplot of cost versus concentration had a moderately, strong curved relationship. Based on these results, what conclusion can be drawn from this analysis at the 5% significance level? (A) There is evidence of a significant positive linear relationship between concentration and cost. (B) There is evidence of a significant negative linear relationship between concentration and cost. (C) There is evidence of a significant linear relationship between concentration and cost but the direction is unknown. (D) There is evidence of a significant non-linear relationship between concentration and cost. (E) The analysis is inconclusive because the assumptions for the linear regression 1-test are not met.

A group of chemical engineers are trying to determine the cost of refining a mixture based on the concentration of a particular chemical. After refining 50 samples of the mixture and recording the cost they fit a simple linear regression model to the data. Partial computer output is given below. Predictor Constant Coef SE Coef T P 2.51 0.563 4.45 <0.0001 Concentration 2.55 0.980 2.61 0.0122 A scatterplot of cost versus concentration had a moderately, strong curved relationship. Based on these results, what conclusion can be drawn from this analysis at the 5% significance level? (A) There is evidence of a significant positive linear relationship between concentration and cost. (B) There is evidence of a significant negative linear relationship between concentration and cost. (C) There is evidence of a significant linear relationship between concentration and cost but the direction is unknown. (D) There is evidence of a significant non-linear relationship between concentration and cost. (E) The analysis is inconclusive because the assumptions for the linear regression 1-test are not met.

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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A group of chemical engineers are trying to determine the cost of refining a mixture based on the concentration of a particular chemical. After refining 50 samples of the mixture and recording the cost they fit a simple linear regression model to the data. Partial computer output is given below. Predictor Constant Coef SE Coef T P 2.51 0.563 4.45 <0.0001 Concentration 2.55 0.980 2.61 0.0122 A scatterplot of cost versus concentration had a moderately, strong curved relationship. Based on these results, what conclusion can be drawn from this analysis at the 5% significance level? (A) There is evidence of a significant positive linear relationship between concentration and cost. (B) There is evidence of a significant negative linear relationship between concentration and cost. (C) There is evidence of a significant linear relationship between concentration and cost but the direction is unknown. (D) There is evidence of a significant non-linear relationship between concentration and cost. (E) The analysis is inconclusive because the assumptions for the linear regression 1-test are not met.
Transcribed Image Text:A group of chemical engineers are trying to determine the cost of refining a mixture based on the concentration of a particular chemical. After refining 50 samples of the mixture and recording the cost they fit a simple linear regression model to the data. Partial computer output is given below. Predictor Constant Coef SE Coef T P 2.51 0.563 4.45 <0.0001 Concentration 2.55 0.980 2.61 0.0122 A scatterplot of cost versus concentration had a moderately, strong curved relationship. Based on these results, what conclusion can be drawn from this analysis at the 5% significance level? (A) There is evidence of a significant positive linear relationship between concentration and cost. (B) There is evidence of a significant negative linear relationship between concentration and cost. (C) There is evidence of a significant linear relationship between concentration and cost but the direction is unknown. (D) There is evidence of a significant non-linear relationship between concentration and cost. (E) The analysis is inconclusive because the assumptions for the linear regression 1-test are not met.
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