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 How many unique correlations were calculated (note that the matrix contains duplication) 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 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)

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A correlation coefficient (from co- and relation ) is a numerical assessment of the direction and strength of a linear relationship between the x and

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.

How many unique correlations were calculated? __________ (note that the matrix contains duplication)
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?___________________________

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)