Question

A cognitive researcher is interested in seeing if a person’s subjective numeracy (X, a measure of preference for using numbers and graphs instead of words) is related to their objective numeracy (Y, their abilities with probabilities, fractions & ratios). Are the two variables significantly related? (α = .05)

(2.5 pts)

Use the statistics provided below.

= 10,917.20

= 1,011.46

SP = 1,339.65

N = 100

r =		Show work here (what values you plug in where)
rcrit Find in r_table on RN (df = (n-2))
Reject / fail to reject?
r2

r² is the variability in Y explained by X. So, if r² = .64, we would say: “r² = .64, so 64% of the variability in Y can be explained by X.”

Using APA style, please write out the results in this box. Make sure you include an interpretation of r2 in the write up.

Answer 1

r = 0.64 = 0.8

rcrit = 0.205

Since 0.8 > 0.205, we can reject the null hypothesis.

The coefficient of determination is 0.64. 64% of the variability in Y can be explained by X.