1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
43046721 as a single power of 9
Levart [38]

Answer:

9^8

Step-by-step explanation:

9^8=43046721

ln(9^x)=xln(9)

so we search x=ln(43046721)/ln(9)

hope this helps

4 0
3 years ago
Read 2 more answers
Can someone help me please? and probably explain it if you can.
Marina CMI [18]

Hey there! :)

Answer:

p(x) = 6x - 15

Step-by-step explanation:

If p(x) = r(x) - c(x), subtract the two equations. Therefore:

p(x) = 10x - (4x + 15)

p(x) = 10x - 4x - 15

Combine like terms and simplify:

p(x) = 6x - 15

3 0
3 years ago
Read 2 more answers
3 people can build a shed in 8 hours how long would it take 5 people
harkovskaia [24]

Answer:

3howers

Step-by-step explanation:

Step-by-step exaplanation

8 0
3 years ago
What is the slop intercept form of a line that passes threw (4,-4) and (8, -10)
BigorU [14]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes, so we can find the slope:

(x_ {1}, y_ {1}) :( 4, -4)\\(x_ {2}, y_ {2}) :( 8, -10)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-10 - (- 4)} {8-4} = \frac {-10+ 4} {4} = \frac {-6} {4} = - \frac {3} {2}

Thus, the equation is of the form:

y = - \frac {3} {2} x + b

We substitute one of the points and find "b":

-4 = - \frac {3} {2} (4) + b\\-4 = - \frac {12} {2} + b\\-4 + 6 = b\\b = 2

Finally, the equation is of the form:

y = - \frac {3} {2} +2

ANswer:

y = - \frac {3} {2} +2

4 0
3 years ago
F(x)= 2x + 13 and g(x) = 5x -20 what is g(x) - f(x)
yarga [219]

Answer:

(g - f)(x) = 3x - 33

Step-by-step explanation:

Arrange f(x)= 2x + 13 and g(x) = 5x -20 vertically as shown below:

 g(x) = 5x - 20

-f(x) = -2x - 13

----------------------

(g - f)(x) = 3x - 33

6 0
3 years ago
Other questions:
  • Using the right triangle below, find the cosine of angle A.
    9·1 answer
  • Help me please find the value
    12·1 answer
  • Rename 1/8 as a percent.<br><br><br> PLEASE HELP DUE IN A FEW HOURS
    6·2 answers
  • What else would need to be congruent to show that abc = def by aas
    14·2 answers
  • Will the sum of the three even numbers be odd or even?
    7·1 answer
  • Plz help me it’s emergency
    5·1 answer
  • PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
    5·1 answer
  • Calcula el valor de A - B, si se sabe que: A=
    5·1 answer
  • If Ashley works 3 times a week and works for 3 hours and makes 6 dollars from work how much money would she have by the end of t
    5·1 answer
  • If 3/4y=6-1/3c then what is the value of 2c+9/2y
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!