1. a.) -0.87
b.) -0.34
c.) +0.34
d.) +0.87
please show all work and how you got your answer :)
Solution
Recall that the correlation coefficient ranges from -1 to 1. Values closer to -1 or 1
indicate stronger linear relationships. A strong linear relationship is when datapoints plot in a
nearly straight line. A value close to 0 indicates no linear relationship. In this case, the datapoints
would plot in a vague boxy cloud shape. A correlation coefficient with a positive value indicates
that the relationship is positive; as x values increase, y values increase as well. A negative
correlation coefficient means that as x values increase, y values decrease. In the graph shown,
we see that the data are plotting in an upward manner, indicating a positive relationship. And
because the points tend to plot in a straight line, we can say that the correlation coefficient should
be closer to 1 than to 0. This leaves us with D) +0.87.