Answer:
–0.91
Step-by-step explanation:
The correlation coefficient for this data set will be negative, since the dependent variable decreases as the independent variable increases.
Since the data appears to be fairly linear, the correlation coefficient will be close to 1; this means -0.91 is our best choice.
The correlation coefficient most likely for the set of data shown =-0.91, the correct option is A.
A linear relationship is said to be strong if the points on the graph are close to a straight line ( correlation coefficient is nearest to 1) and weak if they are widely scattered about the line ( correlation coefficient is nearest to -1).
From the given graph it appeaser to be a strong negative correlation as the points are moving downwards diagonally close to a line which shows if one variable increases, the other decreases.
It means the correlation coefficient must be the nearest value to -1, i.e. -0.91.
Thus, the correlation coefficient most likely for the set of data shown is -0.91.
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