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Marina86 [1]
2 years ago
5

Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total v

ariation that can be explained by the linear relationship between the two variables r = 0.123 What is the value of the coefficient of determination ? r ^ 2 = (Round to four decimal places as needed.)
Mathematics
1 answer:
adoni [48]2 years ago
7 0

The coefficient of determination is the square of the correlation coefficient, and the value is 0.0151

<h3>How to determine the coefficient of determination?</h3>

The given parameter is:

Correlation coefficient, r = 0.123

Rewrite as:

r = 0.123

Take the square of both sides

r² = 0.123²

Evaluate the square

r² = 0.015129

Approximate

r² = 0.0151

The coefficient of determination is represented by r²

Hence, the coefficient of determination is 0.0151

Read more about coefficient of determination at

brainly.com/question/20263006

#SPJ1

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
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No Solution

Step-by-step explanation:

If you grouped like terms, you would get n+(-n)+5-10=1

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I hope this helps! (If it's wrong, then tell me, I'll try to find the correct answer...)

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3 years ago
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15. 7 inches, so the equ
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The lengths that make the sense for the value of b are 0.5 inches and 2 inches.

<h2>Given </h2>

An isosceles triangle has two sides of equal length, a, and a base, b.

The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.

<h3>What is the triangle inequality theorem?</h3>

If two sides of a triangle are unequal, the longer side has a greater angle opposite to it.

\rm a+a > b\\\\2a > b

The equation of the perimeter of the triangle;

\rm 2a+b = 15.7\\\\2a = 15.7-b\\\\a = \dfrac{15.7-b}{2}

1. Substitute b = 0.5 in the equation;

\rm a = \dfrac{15.7-b}{2}\\\\  a = \dfrac{15.7-0.5}{2} \\\\ a = \dfrac{15.2}{2}\\\\a = 7.6

Then,

Verify the triangle inequality theorem;

0.5 + 7.6 > 7.6 is true

7.6 + 7.6 > 0.5 is true

2. Substitute b = 2 in the equation;

\rm a = \dfrac{15.7-b}{2}\\\\  a = \dfrac{15.7-02}{2} \\\\ a = \dfrac{13.7}{2}\\\\a = 6.85

Then,

Verify the triangle inequality theorem;

0.5 + 76.85 > 6.85 is true

6.85 + 6.85 > 2 is true

Hence, the lengths that make the sense for the value of b are 0.5 inches and 2 inches.

To know more about the Triangle inequality theorem click the link given below.

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2 years ago
What is the length of a picture frame whose width is 3 inches and whose proportions are the same as as a 9-inch wide by 15-inch
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Explanation:

The 9 by 15 picture is similar to the 3 by x picture, meaning its the same shape but not the same size.

Since we know what the width is for the first picture we have to get the width of the second picture to equal the same width without changing the shape.

To do that you divide BOTH 9 and 15 by 3

And you get 3 and 5.

Hope this help you understand better.
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