(21 1) 13 residual Explain what it means for a regression line to be the "least squares" (egression line. What special about this particular line! Use the following to answer questions 8 through 26. minkize Residue Stcare The scatterplot shows the relationship between B socioeconomic status measured as the percentage of children in a neighborhood receiving reduced-fee lunches at school (lunch) and the percentage of bike 30 riders in the neighborhood wearing helmets (helmet). The average percentage of children receiving reduced- fee lunches is 30.8% with a standard deviation of 26.7% 10 and the average percentage of bike riders wearing helmets is 38.8% with a standard deviation of 16.9%. 10 20 30 50 60 70 80 1 the rang is, approx 2 ve? 16. Can we conclude that if we stopped giving fee-reduced lunch, then a higher percentage of students would wear helmets? Why or why not? What i tion, 17. From the output, what is the value of R-squared? 18. Show how the R-squared value can be used to calculate the correlation. 19. How can we tell if correlation should be negative or positive without seeing the actual number? 20. Write an interpretation of R-squared in the context of the problem 21. What percent of the variability in the Helmet variable is NOT explained by the linear regression? 22. What other factors might explain the rest of the variation in % of bike riders in a neighborhood wearing helmets? 23. Predict the percentage of people wearing bike helmets in a neighborhood where 95 percent of students receive fee-reduced lunch. Does this answer make sense? What did we do that we should not have done