IV. The following table shows a sample of driver's ages and the sign legibility distance (in 100's of feet) of street signs they could identify. Age ( x ) Sign Legibility Distance (y ) 20 6 20 '5 22 6 35 '5 41 4 66 Z 70 2 a Find the correlation coefcient r ( 4 pts ) b. Does r indicate a strong or weak correlation? ( 1 pt) c. Find the equation of the best t regression line. ( 4 pts ) d. Use your best t line equation to estimate the sign legibility of a 50 year old driver. ( 4 pts ) e. Use your best t line equation to estimate the age of a driver with legibility of 100 feet. ( 4 pm) V. Suppose two foursided dice are rolled. (Each part is 4 pts) a Create the sample space for this experiment, b. What is the probability the result is doubles? c, What is the probability the result is not doubles? VI. A survey of students by major is shown below, asking whether they think their program is competitive or not. Suppose a student is selected at random. (Each part is 4 pts) Nursing Hospitality Graphic Design Competitive 85 45 50 Not 15 25 145 Competitive Find P(Nursing) Find P(Competitive) Find P(Not Nursing) Find P(Nursing AND Competitive) Find P(Hospitality OR Not Competitive) PFPP'P