Question

question 5
several linear models are used to describe the relationship for the data in a scatter plot. for each linear model, the correlation coefficient is found.
which correlation coefficient corresponds to the strongest linear model for the data?
a -0.55
b -0.45
c 0.62
d 0.81

Explanation:

Step1: Recall correlation coefficient rule

The strength of linear relationship is determined by the absolute value of the correlation coefficient $r$, where $|r|$ closer to 1 means a stronger linear relationship.

Step2: Calculate absolute values

$|A| = |-0.98| = 0.98$, $|B| = |-0.43| = 0.43$, $|C| = |0.62| = 0.62$, $|D| = |0.84| = 0.84$

Step3: Compare absolute values

$0.98 > 0.84 > 0.62 > 0.43$, so $-0.98$ has the strongest linear relationship.

Answer:

A. -0.98