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3 years ago

What is the slope? please make sure you explajn

Mathematics

2 answers:

Valentin [98]3 years ago

3 0

Answer: the slope is the rise over run of the line on a grid so the amount it takes for a point to go up and over

Step-by-step explanation:

oksian1 [2.3K]3 years ago

3 0

To find the slope we would need more information so I’m just going to assume you meant what is a slope.

‘slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run"’

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Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A

belka [17]

Answer:

a) $y=0.00991 x +1.042$

b) $r^2 = 0.7503^2 = 0.563$

c) $r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

$y = mx +b$

Wehre

$m=\frac{S_{xy}}{S_{xx}}$

And:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625$

And the slope would be:

$m=\frac{625}{63085.714}=0.00991$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429$

$\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7$

And we can find the intercept using this:

$b=\bar y -m \bar x=7-(0.00991*601.429)=1.042$

And the line would be:

$y=0.00991 x +1.042$

Part b

The correlation coefficient is given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=7 $\sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354$

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

The determination coefficient is given by:

$r^2 = 0.7503^2 = 0.563$

Part c

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

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3 years ago

What is the lowest common factor of 5 and 9

neonofarm [45]

Answer:

534

Step-by-step explanatio

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1 year ago

Allan put $7000 in a 2-year CD paying 3% interest, compounded monthly. After 2 years, he withdrew all his money. What was the am

aliya0001 [1]

I believe he would have $7,432 once he withdraws it. The formula is <span>A = P (1 + r/n)^<span>(nt)</span></span>

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2 years ago

What fraction is 6 of 18

Leto [7]

Answer:

1/3

Step-by-step explanation:

6 of 18 = 6/18

Divide by 6, the GCF of the two numbers 6 and 18, to get 1/3.

6 is 1/3 of 18.

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2 years ago

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Evgesh-ka [11]

Answer:

Step-by-step explanation:

add all them together, then divide by the amt. of numbers there are.

5 0

3 years ago

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