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
Alexeev081 [22]
3 years ago
9

A regression analysis was performed to determine the relationship between the costs of a product (y), the time to make the produ

ct (x 1), the number of different materials used (x2), and the amount spent on marketing the product (x 3). The estimated regression equation is ý = 83 - 2x1 + 6x 2 + 1.1X 3. What is the estimated cost if the time to make the product is 5 hours, the number of different materials used is 4, and the amount spent on marketing is $100?
a. 83
b. 185.4
c. 213
d. 205.4
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
6 0

Answer:

Correct option: (b) 185.4.

Step-by-step explanation:

The regression analysis is used to predict the value of the response variable (<em>Y</em>) based on one or more than one experimental variable(s) (<em>X</em>).

The general form of the regression equation is:

\hat y=\alpha +\beta_{1}x_{1}+\beta_{2}x_{2}+\beta_{3}x_{3}+...+\beta_{n}x_{n}

Here,

<em>α</em> = intercept

\beta _{i} = slope coefficient, (i = 1, 2, 3, ...n)

The regression equation of costs of a product (<em>y</em>) based on the time to make the product (<em>x</em>₁), the number of different materials used (<em>x</em>₂), and the amount spent on marketing the product (<em>x</em>₃) is:

\hat y=83-2x_{1}+0.6x_{2}+1.1x_{3}

The information provided is:

<em>x</em>₁ = 5 hours

<em>x</em>₂ = 4

<em>x</em>₃ = $100

Compute the value of <em>y</em> for the given values as follows:

\hat y=83-2x_{1}+0.6x_{2}+1.1x_{3}

  =83-(2\times 5)+(0.6\times 4)+(1.1\times 100)\\=83-10+2.4+110\\=185.4

Thus, the estimated cost of a product is $185.4.

You might be interested in
Please help this is my last question
Serggg [28]

Answer:

The ratio to water to flour is 3:2

The chef will need 2 cups of water? - im not sure

The ratio to water to flour is 3:2.25 - im not sure

The chef will need 1.5 cups of flour.

3 0
2 years ago
Read 2 more answers
Holly made 12 pair of earrings for each of her girlfriends. To wrap the pairs individually, she creates a simple cardboard gift
Mekhanik [1.2K]

Answer:

3280cm²

Step-by-step explanation:

We are told the gift box is folded into a Pyramid with a square base.

Hence, we are to find the Surface Area of a square pyramid

From the question, we are given:

Length of the base of the square = 10cm

Triangle

Side length = 10cm

Height = 8 2/3 cm

A square Pyramid has 5 faces: 4 triangles and 1 square.

Step 1

Find the Area of the square

Formula = Side length² this is because all the side of a square is equal.

Length of the base = 10cm

Area of the square = (10cm)²

= 100cm²

Step 2

Find the Area of the triangle. We are told the 4 triangles are equilateral, which means their side are equal.

Hence, for one triangle.

Area of a triangle = 1/2 × base × height

Base = side length = 10cm

Height = 8 2/3 = 8.6666666667cm

Area of a triangle = 1/2 × 10 × 8.6666666667

Area of a triangle = 43.333333333cm²

Since we have 4 triangles

We would have : 4 × 43.333333333cm²

= 173.33333333cm²

The Area of the 4 equilateral triangles =

173.33333333cm²

Step 3

The Surface area of the Square Pyramid

= Sum of the areas of all the faces.

= 100cm² + 173.33333333cm²

= 273.33333333cm²

Therefore, the minimum amount of cardboard needed to make one gift box = 273.33333333cm²

Step 4

The minimum amount of cardboard Holly needs to create 12 gift boxes to wrap each pair of earrings individually is calculated as: 12 × 273.33333333cm²

= 3280cm²

7 0
3 years ago
Determine if the statement is always, sometimes or never true. There are 250 degrees in the sum of the interior angles of a poly
stiv31 [10]
I feel like the answer is sometimes
5 0
3 years ago
X+3y=23<br> x-2y=-17 <br> elimaiton
VMariaS [17]
<h2><u>ANSWER</u></h2>

y = 8

x= -1

Step-by-step explanation:

hope it helps ✌️✌️

6 0
2 years ago
Graph the line giving one point and the slope. 2x-6y=12
koban [17]
Y = mx + c  

this is the equation of line and here m is the slope

so, 2x-6y =12   can be changed into standard format

y = 2x/6 - 12/6
y=x/3 +(-2)

so, m = 1/3   , so slope will be 1/3

hope it helped :)



8 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangle has an area of 384 m². The length and the width of the rectangle are changed by a scale factor of 0.75.
    14·2 answers
  • Round 781,407 to the nearest ten thousand
    11·1 answer
  • the volume of a pyramid is 84 cubic feet. the area of the base is 21 square feet. find the height of the pyramid
    6·1 answer
  • Can anyone help with this
    15·1 answer
  • Simplify the expression<br> 4p−5(p+6)<br><br> Please help, thank you :)
    5·2 answers
  • What is the average rate of change for f(x)?<br><br> Enter your answer as a fraction
    14·1 answer
  • If the product of the extremes is 8,then the geometric mean is 2 4 2√2
    12·2 answers
  • What is the probability that the sample mean life span of 64 calculators from Caseo will exceed the sample mean life span of 81
    9·1 answer
  • Find the values of w, x and y.
    11·1 answer
  • 3 times the sum of 7 and 8 is divided by 9​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!