The systolic blood pressure of individuals is thought to be related to both age and weight. For a random sample of 11 men, the following data were obtained. Systolic Blood pressure (years) Weight (pounds) x 1 * 2 X3 132 52 173 143 59 184 153 67 194 162 73 211 154 64 196 168 74 220 137 54 188 149 61 188 159 65 207 128 46 167 166 217 (a) Generate summary statistics, including the mean and standard deviation of each variable. Compute the coefficient of variation for each variable. (Use 2 decimal places.) CV % X2 %% X3 Relative to its mean, which variable has the greatest spread of data values? Which variable has the smallest spread of data values relative to its mean? O X21 X3 OX3i X2 O X21 X1 OxiX3 (b) For each pair of variables, generate the correlation coefficient r. Compute the corresponding coefficient of determination . (Use 3 decimal places.) X1, X2 X1, X3 X21 X3 Which variable (other than x, ) has the greatest influence (by itself) on x1? Would you say that both variables x2 and x3 show a strong influence on x1? Explain your answer. O X3; Yes, both have - values close to 1. O x2; Yes, both have / values close to 1. O X3; No, both have values far from 1. O X2; No, both have r values far from 1. What percent of the variation In x, can be explained by the corresponding variation In X2? Answer the same question for X3. (Use 1 decimal place.) *2 % X 3 1% (c) Perform a regression analysis with x 1 as the response variable. Use X2 and x3 as explanatory variables. Look at the coefficient of multiple determination. What percentage of the variation in x, can be explained by the corresponding variations in x, and X3 taken together? (Use 1 decimal place.) %