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
Nine teammates go to the local sandwich shop. All nine
andrezito [222]

Answer:

D)

Step-by-step explanation:

No, a reasonable estimate is around 9. $6 = $54

I got it right on my test

3 0
3 years ago
David and Mark are marking exam papers. Each set takes David 24 minutes and Mark 1 hour. Express the times David and Mark take a
attashe74 [19]

Answer:

2:5

Step-by-step explanation:

david=24mins

mark = 1hour

change 1 hour to mins

DAVID=24

MARK=60

24:60

THEN SIMPLIFY

24/60

<em>=</em><em>2</em><em>/</em><em>5</em>

<em><u>2</u></em><em><u>:</u></em><em><u>5</u></em>

8 0
3 years ago
Emma collected 72 apples from the orchard and put an equal number of apples into 6 baskets. Mrs. Doolan wants 3 baskets of apple
stira [4]

Answer:

36 apples

Step-by-step explanation:

First, divide 72 by 6 to find out how many apples are in 1 basket.(Answer 12)

There will be 12 apples in one basket.

Mrs. Doolan wants 3 baskets so multiply 12 by 3 to get 36.

72/6= 12

12X3=<u>36</u>

7 0
3 years ago
Read 2 more answers
What ratios can we say are equivalent to 2:9?​
faust18 [17]

Answer:

4:18, 6:27, etc

Step-by-step explanation:

Basically, anything x 2 and x 9 would be equivalent as a ratio

5 0
3 years ago
Read 2 more answers
Tara bicycles 15 mph with no wind. Against the wind, she bikes 10 miles in the same time that it takes to bike 16 miles with the
wlad13 [49]

Answer:

3.46 mph

Step-by-step explanation:

Speed of Tara bicycling without wind effect = 15mph

let the speed of wind be x mph

If she cycles against the wind then her speed will be decrease by the amount as the speed of wind

Then,

Speed of Tara bicycling against wind effect = (15-x)mph

distance traveled by Tara against wind = 10 miles

we know that

time = distance by speed

time taken by Tara while traveling against wind = 10/(15-x)

_______________________________________________________

If she cycles with the wind then her speed will be increase by the amount as the speed of wind

Then,

Speed of Tara bicycling with wind effect = (15+x)mph

distance traveled by Tara w wit wind = 16 miles

time taken by Tara while traveling with wind = 16/(15+x)

___________________________________________

it is given that both the time are same

time taken by Tara while traveling with wind  = time taken by Tara while traveling against wind

16/(15+x) = 10/(15-x)

=> 16(15-x)=10(15+x)

=> 240 - 16x = 150 +10x

=>240 - 150 = 10x+16x

=> 90 = 26x

=> x = 90/26 = 3.46

Thus, speed of wind is 3.46 mph.

5 0
3 years ago
Other questions:
  • In ΔPQR, the measure of ∠R=90°, QP = 29, RQ = 21, and PR = 20. What ratio represents the cosine of ∠P?
    15·1 answer
  • 50 is 40% of what number? And we need to do the proportions/ example 50/100 etc. and please explain.. :)
    8·2 answers
  • Find the area of the quadrilateral
    5·1 answer
  • What ratio represents the probability of drawing a red card from a standard deck of 52 cards
    11·1 answer
  • The table shows values for functions f(x) and g(x) .
    6·1 answer
  • 32.5% of what is 12.48
    11·1 answer
  • The diameter of a sphere is 16 cm. What is the sphere's volume? Round to the nearest tenth. A) 971.7 cm3 B) 1072.3 cm3 C) 1137.4
    9·1 answer
  • Plsplspslspss helppppieee
    6·1 answer
  • URGENT. Geometric Probability.
    8·2 answers
  • Find the median of the data box plot below
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!