The temperature at noon in Murfreesboro and Kalamazoo are gi

The temperature at noon in Murfreesboro and Kalamazoo are given here for randomly selected days. What is the correlation? Do the two variables correlate at the .05 significance level (or better) in the above problem? (use a two tail test)

Solution

Using technology, we get the correlation,              
              
r =    0.110068111          
                              
As t = r sqrt [(n - 2) / (1 - r^2)], then, as n = 7,              
              
t =    0.247624332          
              
As
      
df =    5          
              
then for a two tailed test, by technology, the P value is

P = 0.814272399
              
There is no significant evidence that correlation between the variables is significant.              
Hence,

OPTION 1: No, P = 0.81 [ANSWER]