Answer:
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
Commutative Property is used here
Answer: First Option is correct.
Explanation:
Since we have given that
there are two points from which the line is passing through :

We have to use the two point slope form .
As we know the " Two point slope form" i.e.

Here,

So, our equation becomes,

Hence, First Option is correct.
Answer:
Arithmetic Progression is another way to say Arithmetic sequence. It is basically a sequence of numbers that the difference between the consecutive terms are constant.
Heres and example:
1, 3, 5, 7, 9, 12, 15, 18.....etc.
This has an arithmetic progression of 2.
Hope this helped! Reach out to me if you have any more questions about this!
Times all the numbers together. 5 bagels x 4 spreads x 4 toppings= 80