11. (a) Write down the simple regression model with necessary explanation of each term. (b) Mention assumptions of the regression model. (c) Write down the possible range for (i) Population correlation coefcient (p) and (ii) Sample correlation coefficient (r). (d) Draw graphs for the following with mentioning the values of r: (i) Perfect positive correlation (ii) Strong positive correlation (iii)Perfect negative correlation (iv) Strong negative correlation (v) No correlation 12. A random sample of seven drivers insured with a company and having similar auto insurance policies was selected. The following table lists their number of driving violations (in past two years) and monthly auto insurance premiums. Number of Drivin ; Violations 4 2 6 1 3 2 5 Monthly Insurance Premium ($) 45 25 70 20 35 27 55 (a) Draw a scatter diagram for the above data. (b) Find the estimated least squares regression line. (c) Interpret the estimated slope and intercept values. (d) Calculate the coefficient of correlation and comment on the value. (e) Calculate the coefficient of determination (r2) and interpret the result. (f) Testing at the 5% significance level with six necessary steps, can you conclude that the regression coefficient is positive? mnwnnu