Leigh is an anthropology student who has measured the diameter of clay pots found at an archeological site (x) and the volume of those pots (y). Below are the scores for both variables for the 12 pots found at the site:

a. Calculate the correlation for Leigh’s data.

b. What is the null hypothesis for these data?

c. What is the degrees of freedom value for these data?

d. Because both variables are part of a pot’s physical measurements, it is reasonable to expect them to be positively correlated. If Leigh conducts a one-tailed test, what should the critical values for an NHST be?

e. Should Leigh reject or retain the null hypothesis?

f. Is the p-value

(a) Greater than .05,

(b) Between .01 and .05, or (c) less than .01?

g. What is the r2 value?

h. Draw a scatterplot that represents these data.

Transcribed Image Text:

ID y 12.8 342.1 10.6 244.9 3 7.8 199.1 15.2 252.0 5 12.2 190.6 9.9 120.1 7 14.4 218.9 8. 10.9 111.6 9. 12.8 212.5 10 14.0 308.9 11 15.0 355.0 12 16.2 391.2 Note. X scores measured in cm. Y scores measured in cc. 1.