N Height Shoe (inches) length 69 11.5 Display the data using a labeled scatterplot. Use the provided graph paper. Do the data appear linear and if so, 2 68 10.5 is there a negative or positive relationship between height 3 66 10.5 and shoe length? Explain this correlation in terms of the 5S 10 words of the problem. 65 11 2. Use graphing calculator to calculate the correlation coefficient r between height and shoe length. Is there a 6 72 13 sufficient correlation? Compare with the critical value. 63 10.5 8 64.5 10 3. What percentage of the variation in shoe length can be 9 61 9.5 explained by the linear relation to height? 10 64 11 4. Find the equation of the regression line (line of best fit y 11 65 10.5 = atbx). 12 69 12 5. With respect to the variables involved, interpret the 13 64 10.5 slope of the regression equation. 14 64 13 6. Interpret the y-intercept. Is it meaningful? 15 65 10 7. Now graph the regression line on the same grid as the scatterplot show the points you used to graph it. 16 67 11 8. Can you use the regression line equation to make 17 62 10.5 predictions? Explain why. 18 70 11.5 9. According to the information you just calculated, if a 19 65 11 person is 64" tall, predict the shoe length of this person. 20 64 11 10. Suppose you predict that a person's shoe length is 21 65 10 11.5" and you later find out that their shoe length is 22 65 10.5 actually 10". Give one possible reason that your prediction was incorrect. 23 63 10.5 24 66 11.5 25 76 11.5 26 68 12 27 61 10 28 75 12 29 67 13 30 65 11