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
Do both of them for 50 points
erastovalidia [21]

Answer:

1) 5.44, 2) 3.9

Step-by-step explanation:

1) a/b + 2b - a^2 when a = 1.4 and b = 0.2

plug in the values:

1.4/0.2 + 2(0.2) - (1.4)^2 = 7 + 0.4 - 1.96 = 5.44

2) a[b-2c]^3 - d/e when a = 2, b = -0.75, c = -1, d = 0, e = -12 5/7 (rewritten to -89/7 = 12.71)

again, plug in the values:

2[-0.75-2(-1)]^3 - 0/12.71 = 2[1.25]^3 - 0 = 2[1.95] = 3.9

5 0
3 years ago
A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to
Archy [21]

Answer:

0.2916, 0.1488, 0.0319

Step-by-step explanation:

Given that a sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added.

Since each trial is independent there is a constant probability for any random car to need oil is 0.10

Let X be the number of cars that need oil

A) Here X is BIN(4,0.1)

P(X=1) = 4C1(0.1)(0.9)^3 \\= 0.2916

B) Here X is Bin (8, 0.1)

P(x=2) = 8C2 (0.1)^2 (0.9)^6\\\\=0.1488

C) Here X is Bin (20,5)

P(x=5) = 20C5 (0.1)^5 (0.9)^{15} \\=0.0319

3 0
3 years ago
When I am multiplied by myself, I
cestrela7 [59]

Answer:

21 & 22

42.25 ÷ 2 = 21.125.

21.125 rounded to the two nearest whole numbers is 21 and 22.

21 and 22 are the closest integers to 21.125.

The answer is 21 and 22.

Hope it helps!

6 0
3 years ago
Read 2 more answers
Which is the correct answer
VashaNatasha [74]

Let s denote the number of pages in each issue of the sports magazine.

Let t denote the number of pages in each issue of the technology magazine.

Given that a sports magazine prints 12 issues per year and a technology magazine prints 10 issues per year.The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year.

This can be written in equation as,

12s=10t+32

Since, it is given that, "Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine".

This can be written in equation as,

s=t-18

Thus, the set of equations that represent the given data is

12s=10t+32 and s=t-18

Hence, Option A is the correct answer.

7 0
3 years ago
An employer provides two payment options for employees. Option A: Receive $200 the first week. Receive an additional $50 for eac
elena-14-01-66 [18.8K]

Based on the information, it can be inferred that payment option A means a payment of $450, while option B means a payment of $300.

<h3>How much money does each payment option receive?</h3>

The payment options contemplated by the employer are distributed as follows:

Option A

  • First week: $200
  • Second week: $200 + $50 = $250
  • Third week: $250 + $50 = $300
  • Fourth week: $300 + $50 = $350
  • Fifth week: $350 + $50 = $400
  • Sixth week: $400 + $50 = $450

Option B

  • First week: $200
  • Second week: $220
  • Third week: $240
  • Fourth week: $260
  • Fifth week: $280
  • Sixth week: $300

Note: This question is incomplete because there is some information missing. Here is the missing information:

Complete the tables to show how much money would be received for both payment options, each week, for 6 weeks.

Learn more about payment options in: brainly.com/question/18524042

#SPJ1

7 0
2 years ago
Other questions:
  • A cookie has 130 calories.
    12·1 answer
  • Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the
    14·1 answer
  • How many times do 12 go into 209?
    13·1 answer
  • If AC = 2, CD = 6, and CE = 3, what is BC?
    10·2 answers
  • Find the value of below algebriac expression for x=2,y=-1 and z=2 i. 4x2−3y2+5z24x2−3y2+5z2 ii. 3x3−2x(4yz+5x2)3x3−2x(4yz+5x2) i
    14·1 answer
  • A movie theater has been charging $10.00 per person and selling about 500 tickets on a typical weeknight. After surveying their
    8·1 answer
  • I need help thanks hullo
    12·2 answers
  • What is thousand more a thousand more one millón what the answer putos
    14·1 answer
  • The formula s = sqrt 30fd relates the speed S in miles per hour a car was traveling to the length d in feet that the car skidded
    9·1 answer
  • Write 2 as a complex number.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!