Question

Data was collected on the number of Nobel Prize winners in Physics and Chemistry for various countries and is given below.

	U.S.	Britain	Germany	Japan	France	Russia	Other
Number of winners in Physics, x	49	21	15	3	8	7	23
Number of winners in Chemistry, y	29	24	25	1	6	1	17

i. Complete the regression equation: y ^ =                            [ Select ]                       ["0.804x + 0.647", "0.617x + 0.805", "0.647x + 0.805", "3.604x + 0.617", "0.617x + 3.604"]      

ii. Compute the correlation coefficient: r =                            [ Select ]                       ["0.617", "0.647", "0.805", "3.604"]      

iii.  Is there a significant linear relationship?                            [ Select ]                       ["Yes, since |r| is greater than the critical value 0.647.", "Yes, since |r| is greater than the critical value 0.754.", "No, since |r| is less than the critical value 0.754.", "Yes, since |r| is less than the critical value 0.754.", "No, since |r| is greater than the critical value 0.647."]      

iv. Use the regression equation to predict the number of Nobel Prize winners in Chemistry for a country that has 10 Nobel Prize winners in Physics: y ^ =                            [ Select ]                       ["9.8", "0.617", "3.604", "7.3"]      

v. Was it appropriate to make the prediction in part iv?

Answer 1

Answer:

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