Question

A researcher working for the Ray-Ban Corporation decides to perform a hypothesis test to investigate whether there is a significant positive correlation
between monthly temperature and number of sunglasses sold at one of their locations.
The researcher randomly selected the following sample from this location.  
Monthly Temperature (°F)                    Number of Sunglasses Sold
                        80                                                   91
   61                                                   34
     56                                                   66
     99                                                   72
         71                                                   74
   95                                                125
   43                                                    65

The sample correlation coefficient, r, is:

Answer 1

The statistical software output for this problem is :

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = 16.150961 + 0.81968964 x
Sample size: 7
R (correlation coefficient) = 0.6073929
R-sq = 0.36892613
Estimate of error standard deviation: 24.167123

The sample correlation coefficient, r, is: 0.607