I need help on this multiple choice question 4 The cerebellu

I need help on this multiple choice question.

4. The cerebellum is a highly convoluted brain structure. It is thought to facilitate acquisition and use of sensory data by the rest of the brain, particularly motor areas. Studies suggest that the cerebellum may scale up with the size of animals’ bodies and brains. Here are data for 15 mammal species showing weights (in grams) of their bodies and cerebellums.

a) When regressing Cerebellum weight on Body weight, the regression assumptions have been met.

      A. True

      B. False

b) When regressing log Cerebellum weight on log Body weight, the regression assumptions have been met.

      A. True

      B. False

c) Using the analysis of the log transformed data, construct a 95% confidence interval for ?1.

      A. (-6.17, -3.77)

      B. (-5.53, -4.41)

      C. (0.71, 0.86)

      D. (0.62, 0.94)

      E. None of the above.

d) Using the analysis of the log transformed data, predict the weight of cerebellum when body weight is 250000 grams. (Hint: don’t forget transform back to the original cerebellum from the log transformed data.)

      A. 4.77

      B. 118.0303

      C. 75.5874

      D. 51.872

Scatterpiot of Cerebellum vs Body 160 140 120 100 Regression Analysis: Cerebellum versus Body The regression equation is Cerebellum10.7 + 0.000165 Body Predictor Constant Body Coef 10.722 SE Coef 40 9.7331.10 0.291 20 0.0001646 0.0001228 1.34 0.203 50000 100000 150000 200000 250000 300000 S 35.4434 R-Sq 12.2% R-Sq (adj) -5.4% - = Human Fits Normal Probability Plot of Residuals (Cerebellum vs Body) 140 120 100 0 20 20 10 20 60 100 50 150 Fitted Value

Solution

a) Answer is \"b\'

b) Answer is \'A\'

c) 0.78385+-(2.16*0.07183)=(0.62,0.94)

Answer is \'D\'

d) Answer is \'A\'