Heusner (1991) assembled the following data on the mass and basal metabolic rate of 17 species of primates, including the potto shown in the accompanying photo.

Previous research has indicated that basal metabolic rate (R) of mammal species depends on body mass (M) in the following way: R=αM^β , where α and β are constants.

a. Use linear regression to estimate β for primates. Call your estimate b.

b. Plot your line and the data in a scatter plot.

c. How precise is the estimate of β ? Provide a standard error for b and a 95% confidence interval for β. Assume that the species data are independent.

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Species Alouatta palliata Alouatta palliata Aotus trivirgatus Aotus trivirgatus Arctocebus calabarensis Arctocebus calabarensis Callithrix jachus Callithriz jachus Cebuella pygmaeaCebuella pygmaea Cheirogaleus mediusCheirogaleus medius Euoticus elegantilus Euoticus elegantilus Galago crassicaudatus Galago crassicaudatus Galago demidoviiGalago demidovii Galago elegantulusGalago elegantulus Homo sapiens Homo sapiens Lemur fulvus Lemur fulvus Nycticebus coucang Nycticebus coucang Papio anubis Papio anubis Perodicticus potto Perodicticus potto Saguinus geoffroyi Saguinus geoffroyi Saimiri sciureusSaimiri sciureus Mass (g) 4670.04670.0 1020.01020.0 206.0206.0 190.0190.0 105.0105.0 300.0300.0 261.5261.5 1039.01039.0 61.061.0 261.5261.5 70,000.070,000.0 2330.02330.0 1300.01300.0 9500.09500.0 1011.01011.0 225.0225.0 800.0800.0 Basal metabolic rate (watts) 11.611.6 2.62.6 0.70.7 0.90.9 0.60.6 1.11.1 1.21.2 2.92.9 0.40.4 1.21.2 82.882.8 4.24.2 1.71.7 16.016.0 2.12.1 1.31.3 4.44.4