Helmets and lunches: The scatterplot shows the relationship between socioeconomic status measured as the percentage of children in neighborhood receiving reduced-fee lunches at school (lunch) and the percentage of bike riders in the neighborhood wearing helmets (helmet). The average percentage of children receiving reduced-fee lunches is 30.8% with standard deviation of 26.7% and the average percentage of bike riders wearing helmets is 38.8% with standard deviation of 16.9%. (a) If the R? for the least-squares regression line for these data is 72%, what is the correlation 60% between lunch and helmet? 1 (b) Calculate the slope and intercept for the least-squares regression line for these data. 40% (c) Interpret the intercept of the least-squares regression line in the context of the application_ 6 (d) Interpret the slope of the least-squares regression 3 20% line in the context of the application: (e) What would the value of the residual be for 2 neighborhood where 40% of the children receive 0% reduced-fee lunches and 40% of the bike riders 0% 20% 40% 60% 80% wear helmets? Interpret the meaning of this Rate of Receiving a Reduced-Fee Lunch residual in the context of the application