(4 points) A small set of data has been collected to investigate a possible relationship between the age of concrete bridge decks and maximum load capacity for safe operation. The mean value of the data is y = 27,000 lbs, and the regression model used is y( = f(x() = 96000 - 5000x, lbs. Be sure to show your work and/or justify your answers. Age of deck Maximum Load in years (x) Capacity in lbs (yi) Ly1 - f(x,)] (1bs) [y1 - y] (lbs) 12.0 40,000 4,000 13,000 13.5 25,000 -3,500 -2,000 15.2 16,000 -4,000 -11,000 a) What is the value of the coefficient of determination for this data and regression model? 12= 1- SSE (model Sum SSE = 8 ( 4: - f ( ki )? SST ( mem ) Sum REGRESINC. . . 2 ( Y: - 7) 2 1475 42)3 : 85 sumi( sgared wort r /. 6507 Smik squad memo b) What is the value of the coefficient of correlation for this data and regression model? rigrz, also need + ( direction ) r = + 80 6 673 - , 92 pacity decreases over time