5. Early humans were similar in shape to most modern large primates. The data below are...

Transcribed Image Text:

5. Early humans were similar in shape to most modern large primates. The data below are average male hind limb and forelimb lengths for different species of early hominids (humans and their ancestors.) Hind limb length (mm) Forelimb Length (mm) 458 514 581 739 553 614 595 762 471 361 399 557 553 574 857 598 (a) (4 points) Calculate and interpret the value of the correlation coefficient for this data set. (b) (4 points) Calculate and interpret the value of the coefficient of determination for this data set. (c) (4 points) What is the equation of the least squares line describing the relationship between z = hind limb length and y = forelimb length. (d) (4 points) Suppose these species are representative of all species of carly human ancestors. If a new homonin species dating from about the same time were to be discovered with an average hind limb length of 500 mm, what would you predict to be the average forelimb length of this species? (e) (3 points) Explain why it would not be a good idea to use the least squares regression line to predict the forelimb length of a new homonin species with an average hind limb length of 200 mm. 5. Early humans were similar in shape to most modern large primates. The data below are average male hind limb and forelimb lengths for different species of early hominids (humans and their ancestors.) Hind limb length (mm) Forelimb Length (mm) 458 514 581 739 553 614 595 762 471 361 399 557 553 574 857 598 (a) (4 points) Calculate and interpret the value of the correlation coefficient for this data set. (b) (4 points) Calculate and interpret the value of the coefficient of determination for this data set. (c) (4 points) What is the equation of the least squares line describing the relationship between z = hind limb length and y = forelimb length. (d) (4 points) Suppose these species are representative of all species of carly human ancestors. If a new homonin species dating from about the same time were to be discovered with an average hind limb length of 500 mm, what would you predict to be the average forelimb length of this species? (e) (3 points) Explain why it would not be a good idea to use the least squares regression line to predict the forelimb length of a new homonin species with an average hind limb length of 200 mm.