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NAME PART III In which we examine femur lengths of skelctons (10 points): show y

ID: 3322107 • Letter: N

Question

NAME PART III In which we examine femur lengths of skelctons (10 points): show your work! is a strong linear relati iitiil um. (derind using linnr ngr-ion), i,-(61.4 + 24xz)em. where onship between the height of a haman and their femour (thigh hoe) length the living height of the deceased person. anthropologists use the maximal feenur length of skeletons to etimate t length in ceatimeters (a) Interpret the slope of your model. i. the maximal ltuur eesur (2 poists) (b) Interpret the intercept of your model. (2 points) (e) Does this mean that a person whose ( fermur is 41 em will be about 160 em tall? Explain. (3 points) (3 points) (d) Why should we use ý from regression and not just use average height?

Explanation / Answer

a) y = 61.4 + 2.4 * x

slope = 2.4

This tells if femur bone length increases by 1 unit, height of a person increases by 2.4 units

b) Intercept = 61.4

This says if femur length is zero, height of a person will be 61.4 cm

c) x = 41

y = 61.4 + 2.4 * 41

y = 159.8

Yes, correct

d) Average height might take the effects of big outliers and also relationship wont be established. Thus, regression equation helps us to establish the direction of the relationship and we can exclude some outlier points if we want to