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Ann [662]
1 year ago
9

A random sample of ten professional athletes produced the following data where x is the number of endorsements the player has an

d y is the amount of money made (in millions of dollars).
x y x y
0 2 5 11
3 8 4 9
2 6 3 8
1 3 0 3
6 14 5 10
Use regression to find the equation for the line of best fit. (Round your answers to three decimal places.)

ŷ = _________ + ________x
Mathematics
1 answer:
lukranit [14]1 year ago
3 0

ŷ= 1.795x +2.195 is the equation for the line of best fit for the data

<h3>How to use regression to find the equation for the line of best fit?</h3>

Consider the table in the image attached:

∑x = 29,  ∑y = 74, ∑x²= 125, ∑xy = 288,  n = 10 (number data points)

The linear regression equation is of the form:

ŷ = ax + b

where a and b are the slope and y-intercept respectively

a = ( n∑xy -(∑x)(∑y) ) / ( n∑x² - (∑x)² )

a  = (10×288 - 29×74) / ( 10×125-29² )

  = 2880-2146 / 1250-841

  = 734/409

  = 1.795

x' =  ∑x/n

x' = 29/10 = 2.9

y' = ∑y/n

y' = 74/10 = 7.4

b = y' - ax'

b = 7.4 - 1.795×2.9

  = 7.4 - 5.2055

  = 2.195

ŷ = ax + b

ŷ= 1.795x +2.195

Therefore,  the equation for the line of best fit for the data is ŷ= 1.795x +2.195

Learn more about regression equation on:

brainly.com/question/29394257

#SPJ1

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Which expression is not equivalent to the other three? 2x 2 2x 3x – 8 4 7x – 2 –2 5x 2x – 4 8x – x – 6.
erik [133]

The expression is not equivalent to \rm 28x-16.

<h2>Polynomial</h2>

An expression of more than two algebraic terms, basically sums of terms and variables of power n.

<h2>Given</h2>

2x+2 ,\ 2x,\ 3x-8, 4,\ 7x-2,\ -2,\ 5x,\ 2x-4,\ 8x,\ -x-6

<h2>Step by step explanation</h2>

\rm Equivalent\ expression = add\ all\ the\ given\ terms.\\&#10;Equivalent\ expression = 2x+2+2x+3x-8+4+7x-2-2+5x+2x-4+8x-x-6\\&#10;Equivalent\ expression = 2x+2x+3x+7x+5x+2x+8x-x+2-8+4-2-2-4-6\\&#10;Equivalent\ expression = 28x-16\\&#10;

Then the expression is not equivalent to \rm 28x-16.

Thus, the expression is not equivalent to \rm 28x-16.

More about the polynomial link is given below.

brainly.com/question/17822016

7 0
2 years ago
⅔ (5/16)=equal too ??
Zepler [3.9K]

This is the answer

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5 0
3 years ago
PLS HELP I'LL GIVE U BRAINLIEST!!!!!
umka2103 [35]

Answer:

LOL

Step-by-step explanation:

3 0
3 years ago
Simplify to create a equivalent expression.
Ratling [72]

Answer:

\boxed{\bold{66k+9}}

Explanation:

Expand \bold{5\left(10k+1\right): \ 50k+5}

= \bold{50k+5+2\left(2+8k\right)}

Expand \bold{2\left(2+8k\right): \ 4+16k}

= \bold{50k+5+4+16k}

Simplify \bold{50k+5+4+16k: \ 66k+9}

= \bold{66k+9}

Mordancy.

7 0
3 years ago
Read 2 more answers
Find an equation for the line with the given properties. Express your answer using the general form or the slope-intercept form
Damm [24]

Answer:

y=-3x+4

Step-by-step explanation:

To get the equation in the slope-intercept form first, put the equation in slope-point form using the information given. The slope-point form is y-(-2)=-3(x-2). Then solve for y.

Distribute -3 to (x-2),

y-(-2)=-3x+6

Then, add -2 to both sides,

y=-3x+4

This is your final answer; the slope is -3 and the y-intercept is 4. There are also a few other ways to solve but I find this the easiest.

3 0
3 years ago
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