Answer:
most likely
Step-by-step explanation:
Divide each term in the parentheses by 3ax
this gives 9x^2 - 3a
From the observation of the dispersion graph it is concluded that the answer to this question is option D. r = -0.5.
The correlation coefficient "r" is a measure of the linear relationship between two random variables.
When the correlation is positive, the value of "r" is between 0 and 1. This means that when one variable increases the other too.
When the correlation is negative, the value of "r" is between -1 and 0. This means that one variable decreases as the other increases.
When there is no correlation the value of "r" is 0
In this case, the dispersion chart shows that the variable "y" decreases as the variable "x" increases. Therefore the value of "r" must be negative. Of all the options, the only one that presents a value of negative r is option D:
r = -0.5
Let
be the common ratio between terms. Then
Now denote the
th partial sum of the series by
Multiply both sides by
, then subtract from the above to get
As
, you're left with