Question

What is the coefficient of determination for this data set?

0.02
0.91
0.95
5.1

Thank you (´• ω •`) ♡

Answer 1

Answer:Removing the 16 and 86 would not effect the median. and i cant see the picture

Explanation:

Answer 2

0.9067

Explanation:

The formula used for correlation coefficient is given by,

`r_(xy) = (S_(XY))/(S_(X)S_(Y))`

where
`S_(XY)` = Sample Covariance between X and Y

`S_(X)` = Standard Deviation of X

`S_(Y)` = Standard deviation of Y

Sample Covariance can be calculate using formula:

`S_(XY)= \frac{\sum_(i=1)^(n)(X_(i)-\bar{X})(Y_(i)-\bar{Y})}{n-1}`

where,
`\bar{X}` = Mean of X

`\bar{Y}` = Mean of Y

Standard Deviation is the square root of sum of square of the distance of observation from the mean.

`Standard deviation(\sigma) = \sqrt{(1)/(n)\sum_(i=1)^(n){(x_(i)-\bar{x})^(2)} }`

where,
`\bar{x}` is mean of the distribution.

Calculating all values:

`\bar{X}` = -1.111

`\bar{Y}` = 4.939

`S_(X)` = 954.889

`S_(Y)` = 16.534

`S_(XY)` = 119.639

Now, Putting all values in Formula of Co rrelation Coefficient. We get,

`r_(xy)` = 0.9067