1. The table shows the batting average and number of runs scored for 8 players. Ill-Ilium mum-u Use the formula for the method of least squares to determine the slope and y-intereept of the equation of the line of best fit. Record the equation. Use the linear model developed in question 1 above, to predict a) the number of runs scored by a player whose batting average is 0.210. b) the batting average of a player who has scored 35 runs. 2. The tips earned during a typical workweek by a staff of full-time hairdressers are compared to its years of work experience. The results are given in the table. Experien c T e (years) Determine the correlation coefficient and the equation of the line of best t. Use the linear model to predict the weekly tips a hairdresser with 3 years experience might expect. Use the linear model to predict the weekly tips a hairdresser with 32 years experience might expect. Comment on the reasonableness of these results. 3. In a physics experiment, various masses were suspended from a spring. The stretching distance of the spring is recorded for each case. Mass 50 100 150 200 300 500 750 (g) Stretch Distance 1.2 2.5 3.2 5.3 7.0 11 16 (cm) Determine the correlation coefficient. Determine the line of best fit. Use this model to predict the stretch length of this spring when loaded with a 625-g mass