Question

1. The following matrix displays the bivariate correlations between family size (X), weekly grocery bill (Y), and income (Z) for a random sample of 50 families.

              X          Y          Z   

X         1.00      .60       .20

Y          .60      1.00      .30

Z          .20       .30      1.00

1. First, list the values of the 3 unique correlations, identifying the two variables in each correlation in some way.
2. Which of the correlations is statistically significant at the .05 level? Be sure to record the information on which you base these conclusions. (This implies you will need to perform a hypothesis test assessing whether each correlation is large enough to suggest that a real association exists in the population from which the sample was drawn.)

Answer 1