Suppose a researcher wishes to predict weight loss from moti

Suppose a researcher wishes to predict weight loss from motivation (based on a scale that ranges from 1=low motivation to 10=high motivation). She collects the data presented below.

Calculate the Pearson correlation between these 2 variables     

Calculate the t-test for this correlation.

Solution

Using technology, we get the correlation,              
              
r =    0.826999278   [ANSWER]

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As t = r sqrt [(n - 2) / (1 - r^2)], then, as n = 7,              
              
t =    3.289250789   [ANSWER, T STATISTIC]