(Solved): problem C (Section 12.3) Testing the Usefulness of the Linear Regression Model Problem Ca Figure 3 ...

problem C

(Section 12.3) Testing the Usefulness of the Linear Regression Model Problem Ca Figure 3 shows a 'partially completed' ANOVA table for a simple linear regression analysis. Figure 3: ANOVA table (partially completed). (9) Refer to Problem C. Find the value of 'MSR'- (1) $$0.2$$ (3) $$0.6$$ (2) $$20.2$$ (4) $$19.6$$ (10) Refer to Problem C. Find the value of the $$F$$ test statistic. Page 3 of 4 (1) $$32.7$$ (3) $$45.9$$ (2) $$0.97$$ (4) 98 (11) Refer to Problem C. Find the equation of the lesst-squares regression line. (1) $$y=?3.1?1.4x$$ (3) $$\hat{y}=3.1?1.4x$$ (2) $$\hat{y}=3.1+1.4x$$ (4) $$\stackrel{?}{y}=3.1+1.4x$$ .... (12) Refer to Problem C. Find (approximate) the value of the 'ooefficient of determination'. (1) $$0.97$$ (3) $$0.99$$ (2) $$0.65$$ (4) $$0.87$$ (13) Refer to Problem $$\mathbf{C}$$. There is sufficient evidence to suggest a significant linear regression. Test using $$?=0.05$$ (1) True (2) False ... (14) Refer to Problem C. Find the best estimate of $${?}^2$$, the variance of the random error $$e$$. (1) $$0.45$$ (3) $$0.6$$ (2) $$0.2$$ (4) $$0.24$$ (Section 12.4) Diagnostic Tools for Checking the Regression Assumptions (15) What dingnostic plot can you use to determine whether the data satisfy the normality assumption? (1) A normal probability plot of the residuals. (2) A plot of residuals versus fits.