2. [10 points] The table provided provides data on a random sample of 20 adult American women. The variables are... Weight, in kilograms Height, in centimeters Waist circumference, in centimeters Arm circumference, in centimeters Body mass index, in kg/m2 The data set is also available here in StatCrunch. a. [2 points] Find the standard deviation and variance of the height. Give correct units and follow appropriate rules of rounding. b. [1 point] Find , the correlation, between the arm circumference and the waist circumference. Round your answer to three places after the decimal point. c. [2 points] Use technology to make a scatter diagram treating waist circumference as the explanatory variable and weight as the response variable. Weight, kg Height, cm Waist Circ, cm Arm Circ, cm BMI, kg/m^2 59.3 163.7 82.3 27.5 22.13 74.5 165.5 88.5 30.0 27.20 77.7 163.1 94.9 34.4 29.21 97.9 166.3 111.8 38.7 35.40 71.7 163.6 86.5 32.2 26.79 60.9 170.9 78.4 26.7 20.85 60.5 153.5 81.7 30.5 25.68 88.2 155.7 111.2 36.9 36.38 43.8 153.0 79.2 23.2 18.71 47.9 157.0 63.4 22.6 19.43 126.6 163.7 103.8 40.5 47.24 64.8 161.3 90.4 29.0 24.91 75.6 168.6 93.6 32.1 26.60 81.0 156.4 111.8 32.8 33.11 72.8 159.4 97.2 31.9 28.65 67.3 164.2 83.9 30.8 24.96 58.0 169.0 80.3 26.7 20.31 107.8 161.6 120.6 40.7 41.28 54.1 161.1 80.5 25.2 20.85 59.6 150.8 97.1 29.7 26.21

Page 4 of 6 d. [1 point] Find the equation of the least-squares regression line (also known as the line of best fit) that predicts the weight based on waist circumference. Round values to four places after the decimal point. e. [3 points] The equation of the best-fit line that predicts the height of an adult US woman, based on her weight, is = 156.9676+0.0614. Find and interpret the slope and the y-intercept of this line, including correct units. (It may not be appropriate or realistic to interpret the y-intercept, but do it anyway.) e. [1 point] Use the equation from the previous problem to predict the height of an adult US woman if their weight is 72.5 kg. Round your answer to the nearest tenth, and use correct units. f. [1 point extra credit] Of all five variables in this data set, which two variables have the highest correlation? What is that correlation?