73. Erin is 25 years younger than her father. The sum of their ages is 75. How old is Erin?
2 answers:
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Answer:
Strong positive correlation
Step-by-step explanation:
The given scatterplot, where the data points are sloping upward:
The stronger the association of the two variables, the closer the Pearson correlation coefficient, <em>r</em>, will be to either +1 or -1 depending on whether the relationship is <em>positive</em> or <em>negative</em>, respectively.
If the value of the correlation coefficient is 0 < <em>r</em> < 1 then there is a positive linear trend and the data points are scattered around the line of best fit; the smaller the absolute value of <em>r, </em>the less well the data can be visualized by a single linear relationship. The closer the value of r to 0 the greater the variation around the line of best fit.
In the attached screenshot, where I've drawn a line across the graph: it shows that the data points are clustered around the line. It is easier to estimate that the value of <em>r </em>is closer to 1, which implies a strong positive relationship between two variables. My estimate is that <em>r</em> = 0.8.
Therefore, the correct answer is Strong Positive association.
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