Eight measurements were made on y = glucose concentration and x = fermentation of brand of malt liquor. Minitab was used to analyze the data. A scatter plot of y is given below and a Scatterplot of y: vs » 75 70 65 60 55 50 1 2 4 6 7 8 We fit two models the first is a linear regression model of y on r and the second is a quadratic regression model of y on r below and . Partial output from Minitab is given LINEAR MODEL Analysis of Variance Adj SS Adj MS F-Value Source DF P-Value Regression 1 0.054 0.0536 0.00 0.982 586.821 97.8036 Error 6 Total 7 586.875 Coefficients Term Coef SE Coef T-Value P-Value VIF 7.71 Constant 57.96 7.52 0.000 0.04 1.53 0.02 0.982 1.00 X: QUADRATIC MODEL Analysis of Variance Source DF Adj SS Adj MS 525.11 F-Value P-Value 262.55 21.25 Regression 2 0.004 Error 5 61.77 12.35 Total 7 586.88 Coefficients Term Coef SE Coef T-Value P-Value VIF 84.48 4.90 Constant 17.23 0.000 15.87 2.50 -6.35 0.001 21.25 X: 6.52 1.768 0.271 0.001 21.25 X:*x (a) Choose the model you feel is appropriate for the data. Justify (b) Using your chosen model, what is the change in y for one unit change in x? (c) What is the proportion of variation explained by the model?