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zvonat [6]
3 years ago
10

A regression equation is obtained for a collection of paired data. It is found that the total variation is 20.711 , the explaine

d variation is 18.592 , and the unexplained variation is 2.119 . Find the coefficient of determination.
Mathematics
1 answer:
galben [10]3 years ago
8 0

Answer:

0.898

Step-by-step explanation:

The formula for the Coefficient of determination = ratio of explained variation to Total variation

From the above question, we have the following values

Explained variation = 18.592

Total variation = 20.711

The coefficient of determination = 18.592 : 20.711

= 18.592/20.711

= 0.8976872194

Approximately ≈ 0.898

Therefore, the coefficient of determination is 0.898

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The answer is 7 overtime hours
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Write the rule of the nth term of each sequence 7,4,1,-2
Zarrin [17]

Answer:

a_{n} = 10 - 3n

Step-by-step explanation:

the terms 7, 4, 1, - 2 form an arithmetic sequence with n th term

a_{n} = a_{1} + (n - 1)d

where d is the common difference and a_{1} the first term

here d = - 2 - 1 = 1 - 4 = 4 - 7 = - 3 and a_{1} = 7, hence

a_{n} = 7 - 3(n - 1) = 7 - 3n + 3 = 10 - 3n


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3 years ago
Horace take a taxi uptown and the fare is $12.78 he wants to give the taxi a 10% tip if Horace gives the driver a $20 bill how m
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Answer:

$5.94

Step-by-step e

12.78 + 10% (1.28) = 14.06

20.00 - 14.06 = 5.94

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3 years ago
WILL MARK BRAINLIEST!<br><br> Given: Parallelogram ABCD, calculate the length of AD
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Your answer would be 20.6
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3 years ago
Mrs Wright spent 2/9 of her paycheck on food and 1/3 on rent. She spent 1/4 of the remainder on transportation. She had $210 lef
Troyanec [42]

Mrs Wright's paycheck was $ 630

<u>Solution:</u>

Given that,

Mrs Wright spend on food = \frac{2}{9}

Fraction spent on rent = \frac{1}{3}

She spent 1/4 of the remainder on transportation

Remaining left with her = $ 210

Let the paycheck amount be "n"

Now, we know that, paycheck amount = used amount + left over amount

Here, left over amount = 210

Paycheck amount = 2/9 of paycheck on food + 1/3 of paycheck on rent + 1/4 of remainder on transportation + 210

n=\frac{2}{9} n+\frac{1}{3} n+\frac{1}{4}\left(n-\frac{2}{9} n-\frac{1}{3} n\right)+210

Upon simplifying we get,

n=\frac{2}{9} n+\frac{3}{9} n+\frac{1}{4} n\left(1-\frac{2}{9}-\frac{3}{9}\right)+210

n=\left(\frac{2}{9}+\frac{3}{9}\right) n+\frac{1}{4} n\left(1-\frac{(2+3)}{9}\right)+210

On simplification, we get

n=\frac{5}{9} n+\frac{1}{4} n \times \frac{4}{9}+210

\mathrm{n}=\frac{5}{9} \mathrm{n}+\frac{1}{9} \mathrm{n}+210

On adding fractions we get,

\begin{array}{l}{\mathrm{n}=\frac{6}{9} \mathrm{n}+210} \\\\ {\mathrm{n}-\frac{2}{3} \mathrm{n}=210} \\\\ {\frac{1}{3} \mathrm{n}=210} \\\\ {\mathrm{n}=3 \times 210=630}\end{array}

Hence, the paycheck amount is $630

3 0
3 years ago
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