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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