Table 1.42 gives the data on hand strength collected from

Chapter , Problem 1.6.13

(choose chapter or problem)

Table 1.42 gives the data on hand strength collected from college freshman using a grip meter. (a) Make a scatter plot of these data treating the strength of the preferred hand as the independent variable. (b) Draw a line on your scatter plot that is a good fit for these data and use it to find an approximate equation for the regression line. (c) Using a graphing calculator or computer, find the equation of the least squares line. (d) What would the predicted grip strength in the nonpreferred hand be for a student with a preferred hand strength of 37? (e) Discuss interpolation and extrapolation using specific examples in relation to this regression line. (f) Discuss why , the correlation coefficient, is bothpositive and close to 1.(g) Why do the points tend to cluster into two groups onyour scatter plot?Table 1.42 Hand strength for 20 students in kilogramsPreferred 28 27 45 20 40 47 28 54 52 21Nonpreferred 24 26 43 22 40 45 26 46 46 22Preferred 53 52 49 45 39 26 25 32 30 32Nonpreferred 47 47 41 44 33 20 27 30 29 29