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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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. A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year.
aivan3 [116]

Answer:

The system of equations are:

s + b = 1650.... Equation 1

0.04s + 1.5b = 1818........ Equation 2

The number of

Small trees = 450 trees

The number of Big trees = 1200 trees

Step-by-step explanation:

From the above question

Small trees = s

Large trees = b

An urban forest has 1,650 large and small trees.

Hence,

s + b = 1650.... Equation 1

s = 1650 -b

A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. Together, these trees remove 1,818 kg of pollution each year.

Hence:

0.04s + 1.5b = 1818........ Equation 2

We substitute 1650 - b for s

0.04(1650 - b) + 1.5b = 1818

66 - 0.04b + 1.5b = 1818

- 0.04b + 1.5b = 1818 - 66

1.46b = 1752

b = 1752 ÷ 1.46

b = 1200 trees

Solving for x

1650 - b = s

s = 1650 - 1200

s = 450 trees

3 0
3 years ago
Which equations are equivalent to ? Check all that apply. X 4 = 64 60 = x.
hram777 [196]

You can use the fact that equivalent equations are such that one equation can be obtained by performing some operations(which doesn't break equality) on the other equation and vice versa.

The equivalent equation to x + 4 = 64 is x = 60

<h3>What are equivalent equations?</h3>

Equivalent equations are such that one equation can be obtained by performing some operations(which doesn't break equality) on the other equation and vice versa.

<h3>How to get the equivalent equation of the given equation?</h3>

The given equation is

x + 4 = 64

Subtracting 4 from both sides, we get

x + 4 - 4 = 64 - 4\\x = 60

Thus, one equivalent equation to the given equation is x = 60

The equivalent equation to x + 4 = 64 is x = 60

Learn more cases of equivalent equations here:

brainly.com/question/14332869

5 0
3 years ago
Find the slope and y intercept of the line represented by each table​
zvonat [6]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

(1)

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 22) and (x₂, y₂ ) = (4, 32) ← 2 ordered pairs from the table

m = \frac{32-22}{4-2} = \frac{10}{2} = 5, thus

y = 5x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (6, 42), then

42 = 30 + c ⇒ c = 42 - 30 = 12

Thus Table 1 has slope = 5 and y- intercept = 12

(2)

Using (x₁, y₁ ) = 2, 15) and (x₂, y₂ ) = (1,8) ← 2 ordered pairs from the table

m = \frac{8-15}{1-2} = \frac{-7}{-1} = 7, thus

y = 7x + c ← is the partial equation

To find c substitute (3, 22) into the partial equation

22 = 21 + c ⇒ c = 22- 21 = 1

Thus Table 2 has slope = 7 and y- intercept = 1

7 0
4 years ago
When simplified, what is the value of square root of negative 45 end square root,if i2 = −1?
Schach [20]
Answer:
√-45
i√45
i√9 * √5
3i√5
7 0
3 years ago
A flag measures 110 feet by 55 feet. Find it’s area
Pani-rosa [81]

Answer:

6050

Step-by-step explanation:

Area = length * width

Area = 110 * 55

Area = 6050

4 0
3 years ago
Read 2 more answers
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