Question

Which is the best estimate of the correlation coefficient for the scatter plot?

Answer 1

Answer:

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.

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Step-by-step explanation:

Answer 2

Answer:

0.9

Step-by-step explanation:

The best way to estimate the value of correlation coefficient from scatter plot is draw a straight line such that the distance between the straight line and scatter point is minimum.

If the direction of straight line is towards top right then value of correlation coefficient is positive otherwise if direction of straight line is towards bottom right then value of correlation coefficient is negative.

And, if straight line is nearly horizontal then value of correlation coefficient is nearly 0.5 or -0.5.

Thus, we have only two possible values of correlation coefficient which is 1 or 0.9

Also, here we see that as the value of x is increasing the value of y is also increasing but it is comparatively less than the increase of x.(See the scatter points (3, 2), (8, 6) and (2.1, 1.9)). If both rate of change is constant then value of correlation coefficient is 1.

Hence, value of correlation coefficient is 0.9