Answer:
The following correlation coefficient which is closest to the correlation coefficient of the linear fit of the data shown below, to the nearest hundredth is:
0.77
Step-by-step explanation:
We know that:
- from the scatter plot the correlation coefficient(r) is zero when there is no relationship between the two variable but here as we know that the relationship is linear hence correlation coefficient can't be zero.
Hence, r=0 is incorrect.
- Also as the relation is a positive linear correlation hence r can't be negative.
Hence r=-0.95 is incorrect.
- Also, if we draw a line of best fit then all the points will not lie on the line of best fit.
Hence r=1 is incorrect.
Hence, the correct answer is:
r=0.77
