_ 31: where sf}. is sample covariance. and ex and s}, are sample standard deviations 3, 31:3 _n5nn 4. Calculate and Interpret the pearson' s...

An actuary thinks there is a linear relationship between age and driving tickets in a five-year span. The following table contains data from a sample of 10 persons. Use this data to answer questions 4-6 

r.“ — —. _ 31:1 . where sf}. is sample covariance. and ex and s}, are sample standard deviations 3, 31:3 _n5—————nn—— 4. Calculate and Interpret the pearson’ s correlation coefficient between the variables A and T,'." at, and the coefficient of determination between the variables A and TI 1ft. {2fl%] 5. Determine the coefiicients of the least squares regression line for the following model between age andtickets in a S—yr span: ti = or + E 4= of + sf. where e: is a random error term [2t]%] 6. Use the least—squares regression line to predict the expected number of tickets in 5—}rr span for a personwho is so years old, E“. Note: see) = o [211%]