The best estimate for this correlation would be B) 0.9.
We can see that the number is constantly going up, which would throw out the D answer.
We can also see that for every time the x goes up 1, the y goes up a little less than one. We can see that in the ordered pairs that exist on the graph such as (3, 2), (8, 6) and (2.1, 1.9).
Since the y values are just lower than the x, the correlation would be just under one. Therefore, 0.9 is an accurate estimation.
The best estimate of the correlation coefficient for the scatter plot is:
B. 0.9
We know that the correlation coefficient(i.e. r-value) takes the value from -1 to 1.
If the r-value =1
then the correlation between the variables is strong positive or we may say a perfect positive relation.
i.e. all of the data points will lie along a straight line with positive slope.
and if the r-value= -1
then the correlation between the two-variables is perfect negative i.e. all of the data points will lie along a straight line with negative slope.
Also, if r value is close to 1 then the data points lie along a straight line with positive slope but not all, i.e. there is a strong positive relation.
Also, if r value is close to -1 then the data points lie along a straight line with negative slope but not all i.e. there is a strong negative relation.
Hence, here by looking at the data points we say that with the increase in one variable the other also increases.
Hence, the relation is positive.
Also, if we make a trend line then we see that most of the data points lie on that line or close to that line but not all.
Hence, the association is:
Strong Positive association.
This means that the r value is close to 1 but not equal to 1.
Hence, the answer is:
B. 0.9
