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fAnthropologists sometimes want to estimate the standing height (stature) of humans based on measurements of fragmentary remains. Statistical work on one approach to this problem

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\fAnthropologists sometimes want to estimate the standing height (stature) of humans based on measurements of fragmentary remains. Statistical work on one approach to this problem was done by Musgrave and Harneja.1 Their data may be found in the data file Stature.csv. The variables are - Metatarp length {in mm) of the metacarpal I bone. (This is the bone that connects the thumb to the wrist.) Stature standing height (in cm) (a) From an anthropologist's perspective, which variable is the predictor, and why? [2] (b) Provide a scatterplot of the data (WITHOUT any trend line). [5] (c) Based only on the graph in part (b), briefly describe the relationship between MetaCarp and Stature in terms of direction, shape and strength. [3] (d) Without referring to ports (e) or (f), or to any mrmen'cor.f results from software, explain why the line Stature = 40.68 + 4.067 x MetaCarp cannot be the least-squares line of best fit for the data. [2] (e) What is the equation of the least-squares line of best fit? [2] (f) Calculate the estimated stature of a person whose metacarpal I bone length was 43 mm. [1] (g) Obtain the li'2 value for the regression and interpret it in the context of the data. [3]

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