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Pachacha [2.7K]
3 years ago
14

Which expression has a constant of proportionality equal to 4

Mathematics
1 answer:
gayaneshka [121]3 years ago
6 0
Can you take a picture of the expression
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What is the equation of the best-fitting regression line? Find this in two ways. First, using the regression analysis part of th
Lemur [1.5K]

Step-by-step explanation:

Regression analysis is used to infer about the relationship between two or more variables.

The line of best fit is a straight line representing the regression equation on a scatter plot. The may pass through either some point or all points or none of the points.

<u>Method 1:</u>

Using regression analysis the line of best fit is: y=\alpha +\beta x+e

Here <em>α </em>= intercept, <em>β</em> = slope and <em>e</em> = error.

The formula to compute the intercept is:

\alpha =\bar y-\beta \bar x

Here<em> </em>\bar y and \bar x are mean of the <em>y</em> and <em>x</em> values respectively.

\bar y=\frac{\sum y_{i}}{n} \\\bar x=\frac{\sum x_{i}}{n}

The formula to compute the slope is:

\beta =\frac{\sum (x-\bar x)(y - \bar y)}{\sum (x=\bar x)^{2}}

And the formula to compute the error is:

e=y-\alpha -\beta x

<u>Method 2:</u>

The regression line can be determined using the descriptive statistics mean, standard deviation and correlation.

The equation of the line of best fit is:

(y-\bar y)=r\frac{\sigma_{x}}{\sigma_{y}} (x-\bar x)

Here <em>r</em> = correlation coefficient = r=\frac{Cov (x,y)}{\sqrt{\sigma^{2}_{x}\sigma^{2}_{y}} }

\sigma_{x} and \sigma_{y} are standard deviation of <em>x</em> and <em>y</em> respectively.

\sigma_{x}=\frac{1}{n}\sum (x-\bar x)^{2} \\\sigma_{y}=\frac{1}{n}\sum (y-\bar y)^{2}

3 0
3 years ago
Ken went to the store for his mother. He spent $2.37 on groceries. His mother said he could spend 35¢ on candy. What was his cha
Sedbober [7]
The answer is 1.28 because you add 2.37+35 then subtract that from $5
3 0
3 years ago
Read 2 more answers
Given a force of 10N and an acceleration of 5m/s? What is the mass?
likoan [24]

Answer:

<h3>2kg = mass</h3>

Step-by-step explanation:

<h3>What is the mass?</h3>

Mass is a body of matter without definite shape.

Use the Newton's second law of motion formula.

Note: \longrightarrow \sf{F=M*A}

<u>Given:</u>

  • Force = 10N
  • Acceleration = 5m/s

First thing you do is divide.

10/5=2

= 2kg (mass)

Therefore, the final answer is 2kg (mass).

I hope this helps, let me know if you have any questions.

To learn more about the mass:

brainly.com/question/7580108

5 0
1 year ago
A patio has an area of 50. the width is 3/4 of the length. what is the length?
Zielflug [23.3K]

Answer:

37.5

Step-by-step explanation:

12.5x3=37.5

I hope i helped


5 0
3 years ago
Equivalent to x^3+3x^2-x+2x^2+6x-2 after it has been simplified
natima [27]

Answer:

x³ + 5x² + 5x - 2

Step-by-step explanation:

Given

x³ + 3x² - x + 2x² + 6x - 2 ← collect like terms

= x³ + (3x² + 2x² ) + (- x + 6x ) - 2

= x³ + 5x² + 5x - 2

4 0
3 years ago
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