Try Again Your answer is incorrect. . (a): Your intercept is not correct. . (b) Your sample correlation coefficient is not correct. Sir Francis Galton, in the late 1800s, was the first to introduce the statistical concepts of regression and correlation. He studied the relationships between pairs of variables such as the size of parents and the size of their offspring. Data similar to that which he studied are given below, with the variable x denoting the height (in centimeters) of a human father and the variable y denoting the height at maturity (in centimeters) of the father's oldest son. The data are given in tabular form and also displayed in the Figure 1 scatter plot. Height of father, x Height of son, y (in centimeters) in centimeters 170.6 181.4 182.0 177.7 158.9 167.2 160.9 170.9 180.0 188.5 159.1 174 .3 186.2 188.0 187.9 175.9 Heig 193.5 189.0 191.1 187 .6 190.7 195.5 203.2 189.5 Height of father 174.3 177.9 (in centimeters) Figure 1 172.6 171.1 176.7 175.4 Send data to calculator Send data to Excel The least squares regression line for these data has a slope of approximately 0.51. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.) (a) What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. (b) What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places. 5 Start over Explanation Recheck @2025 MeGrow HII LLC. Al Rights Pose and Tema of Use | Privacy Center | Accessbilly Q Search