BRAC UNIVERSITY Residuals: Min 10 Median 30 Max -84.12 -27.18 10.61 36.90 48.26 Coefficients: Estimate Std. Error + value Pr(It!) (Intercept) 356. 12083 197. 17401 1. 806 0. 113859 x1 -0.09874 0. 04508 -2.152 0.068372 x2 122. 86721 21.79975 5.636 0.000796 .4. Signif. codes: 0 ". .' 0.001 285 0.01 "# 0.05 .' 0.1 ". 1 Residual standard error: 51. 14 on 7 degrees of freedom Multiple R-squared: 0.8310, Adjusted R-squared: 0.7838 F-statistic: 17.31 on 2 and 7 DF. p-value: 0.00195 Determine the estimated regression equation that can be used to predict the price of a backpack given the capacity and the comfort rating. b. Interpret the model. C. Predict the price for a backpack k with a capacity of 4500 cubic inches and a comfort rating of 4. d. Comment on goodness of fit of the model Problem 5 Suppose that we are working with some doctors on heart attack patients . The dependent variable is whether the patient has had a second heart attack within 1 year (yes=1). We have two independent variables , one is age of the patient and the other is a score on anxiety scale (a higher score means more anxious). After applying logistic regression model, we have the following output: Deviance Residuals: Min 10 Median 30 Max -1. 064 0.000 0.000 0.000 1. 446 Coefficients: Estimate Std. Error z value Pr (>Izl) (Intercept) -471. 441 223106.509 -0. 002 0. 990 Age 6.394 3057.349 0. 002 0. 998 Anxiety 1.347 611. 470 0. 002 0. 998 (Dispersion parameter for binomial family taken to be 1) Null deviance: 27.7259 on 19 degrees of freedom Residual deviance: 3.7087 on 17 degrees of freedom AIC: 9. 7087 Number of Fisher Scoring iterations: 23 a. Determine the estimated logistic regression equation o. Calculate the odds ratio and interpret