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
UNO [17]
3 years ago
9

Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the

average cost (in thousands of dollars) for the output variable. (Hint: USE DESMOS)
(SHOW WORK)

Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0

<u>Answer-</u>

<em>The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .</em>

<u>Solution-</u>

The independent variable / input variable= x = Number of years after 2000 ( = year-2000)

The dependent variable / output variable = y = Average cost in thousands of dollars

(The table has been attached herewith.)

To find the regression equation for a group of (x,y) points,

We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)

We know that,

Slope=m=\frac{N\sum xy -\sum x\sum y}{N\sum x^{2}- (\sum x)^{2}}

Putting the values from the table,

m=\frac{(8 \times 1020.206)-(52 \times 150.894)}{(8 \times 3810)-(52^2)}

( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )

\Rightarrow m =\frac{8161.648-7846.488}{3040-2704} =\frac{315.16}{336}=0.937

Now, for the y-intercept,

c =\frac{\sum y -m(\sum x)}{N}

Putting the values,

c=\frac{150.894-(52 \times 0.937)}{8}=\frac{102.125}{8}=12.765

Now, putting the values of c and m, in the Slope-Intercept formula,

y=0.937x+12.765


You might be interested in
What's the answer to. 2472 ÷ 24
vladimir2022 [97]

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

if it's .2472/24 it is = .0103

but if it's 2472/24 it is = 103

5 0
3 years ago
Find the sale price when the original price is $37.00 and the discount rate is 44%.
nexus9112 [7]
Sale price = original price - discount
discount = 44% of original price = 44% of $37 = 0.44 x 37 = $16.28

Sale price = $37 - $16.28 = $20.72
5 0
3 years ago
Ajay is 5 cm taller than Aiden. If h represents Ajay's height, then Aiden's height is
ohaa [14]
H - 5cm = Aiden’s height?
3 0
2 years ago
Read 2 more answers
What is the solution to this equation?<br>1-2x = 4(x + 3)​
valina [46]

Answer:

x=-1.83

Step-by-step explanation:

1-2x=4(x+3)

1-2x=4x+12

-2x=4x+12-1

-2x=4x+11

-2x-4x=11

-6x=11

x=11÷-6

x=-1.83

4 0
3 years ago
If p-4(p-2(3-p))=12 solve for p
stira [4]
P-4(p-2(3-p))=12 remove the parentheses

P-4(p-6+2p)=12 collect like terms

P-4(3p-6)=12 remove the parentheses

P-12p+24=12 collect like terms

-11p+24=12 move the constant to the right

-11p=12-24 calculate

-11p=-12 divide both sides

P=12/11


Alternative form

P=1 1/11
8 0
3 years ago
Other questions:
  • What error did Mr. Sanders likely make, and what is the actual fraction of students who have
    15·1 answer
  • What percent of lottery winners end up with financial troubles?
    14·1 answer
  • Find Solution Asap BRANLIEST ​
    5·1 answer
  • Please help
    9·2 answers
  • Use the graph to write a linear function that relates y to x<br> Y=
    5·1 answer
  • Subtract x^2-2x-6 from -6x+5
    14·1 answer
  • An equation of a line is given as y = 5x - 2 a) What is the gradient? b) What is the 'y' intercept?
    10·1 answer
  • Tang created a number line for his class to use. A number line has points negative 4, A, B, blank, 0, blank, C, D, 4. Which poin
    14·2 answers
  • the achievement first family handbook has 235 Pages Ms. Lieberman and print 450 copies of the document for the Middle School Sch
    6·1 answer
  • Select the polynomials that are a difference of squares.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!