12. Select the best interpretation of the slope of the least squares regression equation. A. We predict the number of Tootsie rolls

12. Select the best interpretation of the slope of the least squares regression equation. A. We predict the number of Tootsie rolls grabbed will increase by 1.17 on average for every 1 cm increase in hand span. B. We predict the hand span will increase by 1.17 cm on average for every 1 more Tootsie Roll grabbed. C. If a person grabs 0 Tootsie Rolls, we would predict their hand span would be 1.17 cm. D. If a person has a hand span of 0 cm, we would predict they would grab 1.17 Tootsie rolls. 13. Explain why an interpretation of the y-intercept does not make sense for these data. 14. [2 pts] Write a sentence interpreting the coefficient of determination (R2) in the context of the problem. 15. Use the least squares regression line to predict the number of Tootsie Rolls grabbed by someone with a hand span of 20 cm. 16. One of the subjects had a hand span of 20 cm and was recorded grabbing 16 Tootsie Rolls. Calculate the residual for this subject.

DATA:

HandSpan        TootsieRolls19      1622      1519.5    1419.5    1320      1520      1421      1819.5    1518.5    1421      1719.5    1317      1320      1421.5    1722.3    1619.5    1525      2021.5    1824      1725.5    2419      1423      2222      1322      1722.5    1519      1721.5    1720.3    1819.6    1420      1521      1321      1523.5    2123      2019.5    1920.5    1721.5    2723      2719      1418.5    1522.5    2421      1920      1621      2319      20