Answer:Removing the 16 and 86 would not effect the median. and i cant see the picture
Step-by-step explanation:
Answer:
0.9067
Step-by-step explanation:
The formula used for correlation coefficient is given by,
[tex]r_{xy} = \frac{S_{XY}}{S_{X}S_{Y}}[/tex]
where [tex]S_{XY}[/tex] = Sample Covariance between X and Y
[tex]S_{X}[/tex] = Standard Deviation of X
[tex]S_{Y}[/tex] = Standard deviation of Y
Sample Covariance can be calculate using formula:
[tex]S_{XY}= \frac{\sum_{i=1}^{n}(X_{i}-\bar{X})(Y_{i}-\bar{Y})}{n-1}[/tex]
where, [tex]\bar{X}[/tex] = Mean of X
[tex]\bar{Y}[/tex] = Mean of Y
Standard Deviation is the square root of sum of square of the distance of observation from the mean.
[tex] Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }[/tex]
where, [tex]\bar{x}[/tex] is mean of the distribution.
Calculating all values:
[tex]\bar{X}[/tex] = -1.111
[tex]\bar{Y}[/tex] = 4.939
[tex]S_{X}[/tex] = 954.889
[tex]S_{Y}[/tex] = 16.534
[tex]S_{XY}[/tex] = 119.639
Now, Putting all values in Formula of Co rrelation Coefficient. We get,
[tex]r_{xy}[/tex] = 0.9067
