Question

I. Ant thropologist Kiara Medina likes to use a linear model that relates femur length to height. The model allows her to determine the height of an individual when only a partial skeleton (including the femur) is found. In this problem use the data on t height for the eight males given in the table to answer the questions. (if needed, round all values to the nearest hundredths) emur length and Femur length (em) Heigh (em) Using DESMOS, create a scatter plot of the data and answer the questions 50.1 48.3 45.2 44.7 44.5 42.7 39.5 38.0 178.5 173.6 164.8 163.7 168.3 165.0 155.4 155.8 1. Find the equation for the line of best fit for the data 2. What is the value of m, and explain what it means to Kiara regarding this data? 3. What is the correlation coefficient, and what type is it? 4. Is the correlation strong? 5. If an anthropologist discovers a femur that is 58.6cm long,how tall would they predict the individual was?

Answer 1

(b) The interpretati on of the slope,m The slope,m The slope of the vari able is interpreted that, for a 1- unit increase in the independent variable Femur length (X), we predi ct the dependent vari able Height(Y) increased by an amount of 1.8807 c) The computati on for the data: 50.1 48.3 45.2 44.7 44.5 42.7 39.5 38 178.5 173.6 164.8 163.7 168.3 165 155.4 155.8 2510.01 2332.89 2043.04 1998.09 1980.25 1823.29 1560.25 1444 31862.25 30136.96 27159.04 26797.69 28324.89 27225 24149.16 24273.64 8942.85 8384.88 7448.96 7317.39 7489.35 7045.5 6138.3 5920.4 ΣΧ-353 | Σκ-1325. 1 | ΣΧ-1569 1.82 | ΣΡ-2199286 | ΣΧΚ-58687.63 The correlation coefficient is given by 8(58687.63) (353) (1325.1) 8(1569182)-(353) 8 219928.6)-(13251) 469501-467760.3 (125534.6-124609) (1759429-1755890) 1740.74 (925.56) (3539.03) 1740.74 3275585 1740.74 1809.858 0.96181 r0.96181 The Pears on correlation coefficientis r0.96181