Question

topic 1 linear functions
3.
a. $r = 0.01$
b. $r = 0.8$
c. $r=-0.5$
d. $r = 0.08$
4.
a. $r=-0.009$
b. $r = 0.8$
c. $r=-0.09$
d. $r = 0.2$
module 2 · topic 1 · skills

Explanation:

Step1: Observe scatter - plot for correlation direction

If the points in the scatter - plot generally move from lower left to upper right, the correlation is positive. If they move from upper left to lower right, the correlation is negative. If there is no clear pattern, the correlation is close to 0.

Step2: Observe scatter - plot for correlation strength

A correlation close to 1 or - 1 indicates a strong linear relationship, while a correlation close to 0 indicates a weak linear relationship.
In both scatter - plots, the points are scattered randomly with no clear upward or downward trend, so the correlation coefficient $r$ should be close to 0.

Answer:

A. $r = 0.01$