For the data shown in the scatter plot, which is the best estimate of r?
2 answers:
Answer:
B. -0.65
Step-by-step explanation:
If we draw a straight line on the scatter plot in such a way that distance between scatter point and a straight line is minimum.
Then we will see that the slope of a line is negative i.e. line is value of y is decreasing as we increase the value of y.
This implies that r should be negative.
Also, the line is approximately horizontal, thus r should be nearly 0.5
Hence, the only value satisfying both the condition is -0.65.
Further, Correlation Coefficient(r) shows the direction and strength of relationship between two variables.
The correlation coefficient lies between -1 to +1.
As the increase in the value of one variable also increases the value of other variables is called positive correlation. Also, the value of positive correlation lies between 0 to 1.
And decrease in the value of one variable, increases the value of other variables is called negative correlation. Also, the value of negative correlation lies between -1 to 0.
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