Question
In: Statistics and Probability
For a data set of brain volumes (cm3) and IQ scores of sevenseven males, the linear...
For a data set of brain volumes (cm3) and IQ scores of
sevenseven males, the linear correlation coefficient is
requals=0.9950.995. Use the table available below to find the
critical values of r. Based on a comparison of the linear
correlation coefficient r and the critical values, what do you
conclude about a linear correlation?
LOADING... Click the icon to view the table of critical values
of r.
The critical values are nothing.
(Type integers or decimals. Do not round. Use a comma to
separate answers as needed.)
Solutions
Expert Solution
Null hypothesis : r is not significant.
Alternative hypothesis : r is significant.
We have the table for critical values :
We look for values corresponding to n = 7 in the above table.
Case 1 : When 
Critical values are - 0.87 , 0.87
Since, r = 0.995 does not lie between - 0.87 and 0.87 , we reject null hypothesis and conclude that r is significant.
Case 2 : When 
Critical values are - 0.75 , 0.75
Since, r = 0.995 does not lie between - 0.75 and 0.75 , we reject null hypothesis and conclude that r is significant.
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