A correlation coefficient (from co- and relation) is a numerical assessment of the direction and strength of a linear relationship between the x and y values in a bivariate data set consisting of (x, y) pairs. In a positive relationship, for every pair of points in the plot, the one with the larger x value also has the larger y value. That is, an increase in x is paired with an increase in y. In a negative relationship: For every pair of points in the plot, the one with the smaller x value also has the larger y value. That is, an increase in x is paired with a decrease in y. A significant correlation has a p-value (Sig) that is less than .05 and you may reject the null hypothesis that there is no relationship between the variables.

1. How many unique correlations were calculated? __________ (note that the matrix contains duplication)
2. What is the Pearson correlation between: height & weight? _____ height & waist size? _____

weight & waist size? _____ pulse rate & BMI? ______ pulse rate & height? _____

Mark the significant correlations above with a * if sig <.05 if sig>

3.Which correlation is the strongest negative correlation? _______________________________ Describe what that relationship means.

4.Based on the absolute value of the correlations above, which is the strongest? _______________________ Which is the weakest?_________________________________

5.Height is most likely to be related to what other variable, in this matrix?___________________________

6.

Which variable is NOT significantly related to any other variable? __

Correlations Waist Height circumferenc Pulse rate (inches) Weight e (cm) (beats/min) Body Mass (pounds) Index Height (inches) Pearson Correlation 1 269 -.132 522 -.089 Sig. (2-tailed) .094 416 001 585 N 40 40 40 40 Waist circumference (cm) 40 Pearson Correlation .269 1 142 889 855 Sig. (2-tailed) 094 .383 000 000 N 40 40 40 40 Pulse rate (beats/min) 40 Pearson Correlation -.132 .142 1 056 181 Sig. (2-tailed) 416 383 732 264 N 40 40 40 40 40 Weight (pounds) Pearson Correlation 522 .889 056 1 800 Sig. (2-tailed) 001 000 732 000 N 40 40 40 40 Body Mass Index 40 Pearson Correlation -.089 855 181 800 1 Sig. (2-tailed) .585 .000 264 000 N 40 40 40 40 40 ** Correlation is significant at the 0.01 level (2-tailed)