The correlation coefficient for a relationship is - 0.95. what percentage of the dependent variable in the correlation is due purely to chance? (answer with a percent rounded to the hundredths decimal place. include the % sign.)

The unexplained variance would be 100-90.25 % = 9.75. And that correspond to the percentage of the dependent variable in the correlation is due purely to chance

Step-by-step explanation:

Previous concepts

Pearson correlation coefficient(r), "measures a linear dependence between two variables (x and y). Its a parametric correlation test because it depends to the distribution of the data. And other assumption is that the variables x and y needs to follow a normal distribution".

In order to calculate the correlation coefficient we can use this formula:  

On this case we got that r =-0.95

In order to find the % of variance explained by the model we need to calculate the determination coefficient given by:

And that means this : "90.25% of the variation of y is explained by the variation in x"

So then the unexplained variance would be 100-90.25 % = 9.75. And that correspond to the percentage of the dependent variable in the correlation is due purely to chance

answer: 230 miles ( vote ! )

step-by-step explanation:

180.39 minus 17.99 equals 162.4

then divide 162.4 by .80 to get 230