Answer:
42.1% of variation in the response is explained by the regression line
Step-by-step explanation:
Correlation coefficient is a measure which tells us that how strongly are two variables under study are linearly related to each other i.e correlation coefficient gives the strength of linear association between the variables.
If the magnitude of correlation coefficient is closer to 1, it indicates a strong linear relationship. If the magnitude of correlation coefficient is closer to 0, it indicates a weak linear relationship.
There is another variable known as "Coefficient of Determination", which is equal to square of Correlation Coefficient. Coefficient of Determination tells us that what percentage of variation in the response of the study can be explained by the regression line.
This means, for this question we need to calculate the Coefficient of Determination.
Correlation coefficient = r = 0.649
Coefficient of Determination = R = r² = (0.649)²= 0.421 = 42.1 %
This means that 42.1% of variation in the response is explained by the regression line.
Answer:
Step-by-step explanation:
First, we need to look at the # of chips. There are a total of 25, 6 of which are blue.
This means that the chance of getting the first blue chip would be 
As there is no replacement, the total number of chips is 24 and there are only 5 blue left. This gives us the chance of 
Now all we need to do is mulitply these two and then simplify
Answer:
33 1/3%
Step-by-step explanation:
When you buy 20 ads, the per-ad rate is
$1200/20 = $60 . . . per ad
When you buy 80 ads, the per-ad rate is
$3200/80 = $40 . . . per ad
The percentage change to the $60 price is ...
((new price) - (original price))/(original price) × 100%
= ($40 -$60)/$60 × 100% = -20/60 × 100%
= -1/3 × 100% = -33 1/3%
The higher volume purchase comes with a 33 1/3% discount.
The number of edges of a polyhedron with 4 faces and 4 vertices will be 6.
<h3>What is a polygon?</h3>
The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Using Euler's formula, the number of the edges does a polyhedron with 4 faces and 4 vertices have
We know the formula for the edges of the polyhedron will be
F + V = E + 2
The number of faces, vertices, and edges of a polyhedron are denoted by the letters F, V, and E.
Then we have
4 + 4 = E + 2
E = 8 - 2
E = 6
More about the polygon link is given below.
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There is only one triangle possible having angle 50, 50, 80.
<h3>
What is isosceles triangle?</h3>
An Isosceles Triangle has the following properties:
- Two sides are congruent to each other.
- The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.
- The two angles opposite to the equal sides are congruent to each other.
It is given that, 2 angles of a triangle as:
∠1 = 50°
∠2 = 80°
Now we know the Angle sum property of a triangle that sum all three interior angle in a triangle is 
.
i.e., ∠1+∠2+∠3= .
So, 50° +80°+ ∠3 =
∠3 = 50°
As two angles of the triangle are equal that means it is a isosceles triangle.
There is no possibility of getting a right angles triangle.
Hence, there is only one triangle possible with these measurements .
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