Question

3 which of the following values is closest to the correlation between the two var the scatterplot? a) -0.7 b) -0.4 c) 0 d) 0.4 e) 0.7 4. isabella loves avocados. she wonders if there is a relationship between the price of an

Explanation:

Step1: Determine the direction of correlation

Looking at the scatter - plot, as one variable increases, the other variable also increases. So, the correlation is positive. Options A and B (negative values) can be eliminated.

Step2: Assess the strength of positive correlation

A correlation of \(r = 0\) (Option C) implies no linear relationship. The scatter - plot shows a non - zero linear relationship. For a correlation coefficient \(r\):

• If \(0<|r|<0.5\), it is a weak correlation.
• If \(0.5\leq|r|<0.8\), it is a moderate correlation.
• If \(|r|\geq0.8\), it is a strong correlation.

The points in the scatter - plot do not show a very tight clustering around the line (which would correspond to \(r = 0.7\)). The clustering is more in line with a weak to moderate positive correlation. A value of \(r=0.4\) (Option D) is more appropriate than \(r = 0.7\) (Option E) as the points are not extremely close to the line of best fit.

Answer:

D. \(0.4\)