A clothing company is interested in the relationship between the number of sales per month for its employees (y) and price. Based on the collected data, the least-squares regression line is ŷ = 9.74 + 4.89x, where x is the number of dollars by which price exceeds $25. Which of the following statements best describes the meaning of the slope of the least-squares regression line?

Question 3 options:

1)

For each increase in price of $1, the estimated number of sales per month increases by 4.89.

2)

For each increase in price of $1, the estimated number of sales per month increases by 9.74.

3)

For each increase of one sale per month, there is an estimated increase in price of $4.89.

4)

For each increase of one sale per month, there is an estimated increase in price of $9.74.

5)

The slope has no meaning because the units of measure for x and y are not the same.

Answers

Answer 1

Answer:

1) For each increase in price of $1, the estimated number of sales per month increases by 4.89

Step-by-step explanation:

Answer 2

Using linear function concepts, it is found that the statement that best describes the meaning of the slope of the least-squares regression line is:

1)  For each increase in price of $1, the estimated number of sales per month increases by 4.89.

Linear function:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem, the equation is:

[tex]y = 9.74 + 4.89x[/tex]

The slope is of 4.89, which means that when x(number of dollars by which price exceeds $25) changes by 1, y(number of sales per month) increases by 4.89, hence option 1 is correct.

You can learn more about linear function concepts at https://brainly.com/question/16302622


Related Questions

Solve for x and y
Please help it’s timed

Answers

Divide 60 by 12 and divide 28 by 7
Therefore x=5 and y=4
?

In the past month, Lashonda rented 7 video games and 1 DVD. The rental price for each video game was $2.90The rental price for the DVD was $3.50. What is the total amount that Lashonda spent on video game and DVD rentals in the past month

Answers

Video games : $20 and DVD $3.50 = $23.50

Answer:

Lashonda spent $23.8 all together.

Step-by-step explanation:

We solve this by multiplying how many videogames she bought with how much they cost plus how much that one DVD cost.

7 x 2.90 + 3.50

This equals

23.8

Ive been working in this for 4 hours please help I don’t understand it at all. I WILL GUVE BRAINLIEST* turned in today would be a life saver.

Answers

Answer:

273.25 feet2

Step-by-step explanation:

Daniela can only place the grass in the shaded areas and not the white areas so you want to start by finding the area of the full circle (12.5ft*25ft) and then subtracting the two equal quarter circles on the left and right corners, this can be done by using the radius given (5ft) and finding the area of what the full circle would have been 3.14*(5^2) which is equal too 78.5 (I got 3.14 from pi) and then dividing 78.5 by 4 to find the area of the quarter circle which is 19.625. since there are two quarter circles you multiply 19.625 by 2 and finally subtract your original recttangul by the two quarter circles 312.5(original rectangul)-39.25(the two quarter circles) giving you 273.25 feet2. hope that makes sense

Law of Sines Round to the nearest degree.

Answers

Answer:

Step-by-step explanation:

recall law of Sines   Sin(A) /a = Sin(B) / b

for this question

F = A = 105  and a = 37

E = B  and b = 28

then plug those into our law of Sines equations

Sin(105) / 37 = Sin(B) / 28

0.025846 = Sin(B) / 28

28 * 0.025846 = Sin(B)

0.72369 = Sin(B)

arcSin(0.72369) = arcSin ( Sin ( B ) )

46.3599 = B

E = 46°  ( rounded to the nearest degree)

What is the area of the parallelogram (a) 168s sq inches b) 140 sq inches c) 130 sq inches d) 120 sq inches

Answers

Answer:

Step-by-step explanation:

Area of a parallelogram is given as the multiplication of its length by that of its height or breadth, however you call it.

In this question, you didn't state the length nor the breadth or height. You just listed the answers. It's very hard knowing the answer without having its dimensions. However, I can tell you that on the diagram or drawing you have there with you, multiply the two distance given to you together, it ought to give you one of the four options you listed above. Be it 168, 140, 130 or even 120 square inches.

2. If y has a value of 4, give the following equation, what is the value of x? y 2
= 5x

Answers

Answer:

3.2

Step-by-step explanation:

I'm not totally sure what you mean. I'm reading it as y² = 5x

So let y = 4

4² = 5x            

16 = 5x                    Divide by 5

16/5 = x

3.2 =  x

Hi please help me with this

Answers

Answer:

6

Step-by-step explanation:

8(1/4) - 1 + 0.5(10) = 6

i need help with this one what is the value of the expression 10p-5/5 + 3(p-1) when p =2?


and put the steps to

Answers

Answer:

6

Step-by-step explanation:

10p-5/5 + 3(p-1) when p =2?

1)10(2)-5= 20-5= 15/5= 3

2) 3(2-1)=3(1)=3

3) 3+3=6


A population of bacteria grows according to the function p(t) = po · 1.42, where t is measured in hours. If
the initial population size was 1,000 cells, approximately hoy long will the it take the population to exceed 10,000
cells? Round your answer to the nearest tenth.

Answers

Answer:

The time duration for the population to exceed 10,000 is approximately 6.6 hours

Step-by-step explanation:

The given equation for the population of a bacteria is presented as follows;

[tex]p(t) = P_0 \cdot 1.42^t[/tex]

Where;

t = The time duration in hours

The initial population of the cells = 1,000

Therefore, at t = 0, P(0) = 1,000 = P₀ × 1.42^0

∴  P(0) = 1,000 = P₀ × 1 = P₀

P₀ = 1,000

When the population is 10,000, we have;

P(t) = 10,000 = 1,000 × 1.42^t

∴ 1.42^t = 10,000/1,000 = 10

㏒(1.42^t) = ㏒(10) = 1

∴ t × ㏒(1.42) = 1

t = 1/㏒(1.42) = 6.56649071898

∴ The time duration for the population to exceed 10,000, t ≈ 6.6 hours.

What will your balance be on an investment of $1,000 at 4.% for 5 years compounded annually.
30 POINTS ANSWER

Answers

Answer:

200

Step-by-step explanation:

because if you take 4 percent of 1000 you get 40 and 40 x 5 is 200

After Dan makes a basket, Josephine claims she can find the amount of time the ball was in the air (from the time it leave's Dan's hand to the time it enters the basket),

Josephine says she can do this by using Dan's equation (1) = -1649 +18 + 8) and setting the equation equal to zero. Dan doesn't think Josephine's thinking is correct.
Who do you agree with?
Explain your reasoning using mathematical evidence.

Answers

Answer:

Step-by-step explanation:

The function is to blurry to see but you would not set the height function equal to zero. Instead h should be set to the height of the basket. The time elapsed would be the second time the ball was at the height of the basket. If I guess what the function is as

-16t^2+18t+8=10

-16t^2+18t-2=0

-16t^2+16t+2t-2=0

-16t(t-1)+2(t-1)=0

(-16t+2)(t-1)=0

So the ball is at 10ft at 0.125s and 1s. So it enters the hoop after 1 second. Of course this is dependent on if I guessed at the correct equation from the picture.

2) What is the missing term? What rule did you use?

Answers

Answer:

13

Step-by-step explanation:

Add one, because each of the ins had an out that was +1

I’m pretty sure you add 1

A patio tile design is constructed from a square inscribed in a circle. The circle has radius 6 square 2 feet.

Answers

Answer:

Step-by-step explanation:

The edge of the square is 12 feet. Then the area of the square is 144 square feet.

What is the area of the square?

All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.

Then the area of the square will be

Area of the square = a² square units

A porch tile configuration is developed from a square engraved all around. The circle has a span of 6√2 feet.

The edge of the square is calculated as,

(2r)² = a² + a²

2r² = a²

2 × (6√2)² = a²

2 × 36 × 2 = a²

a² = 144

a = 12 feet

Then the area of the square is calculated as,

A = (12)²

A = 144

The edge of the square is 12 feet. Then the area of the square is 144 square feet.

More about the area of the square link is given below.

https://brainly.com/question/1658516

#SPJ2

solved: x=8 y=12 (used elimination method)
A truck transports 20 boxes of different masses.
Some boxes (C1) weigh 28 kg each , others (C2)
weigh 16 kg each.
Knowing that the total mass of the boxes is
416 kg , how many boxes of each category are
there?​

Answers

supose there are only c1

20*28 =560

560-416=144

28-16=12

144/12=12(c2)

20-12=8(c1)

crown?

Simplify the Expression:

sqrt 18/ sqrt 49

Answers

Answer:

0.6

Step-by-step explanation:

the calculate the mean,____ all the numbers in the data set and then ____

A. add,divide
B.add,subtract
C.count,multiply
D.divide,add

Answers

Answer:

D

Step-by-step explanation:

D should be your answer

I think it’s b sorry if I’m wrong

this one is pretty easy, i just forgot how to do it.

Answers

no,
one of the 3 sides need to be 90

. What is 112,252
rounded to the nearest ten thousand?

Answers

Answer:

110,000

Step-by-step explanation:

it would be 110,000!!!!


In the figure shown below, if line l is parallel to line m, then find the value of x

Answers

Answer:

Step-by-step explanation:

x = 180-65 = 115°

Julie is keeping stats for the baseball team. In 4 games, they scored 28 runs. What is the average number of runs for the 4 games? Enter your answer.

Answers

7 runs because 28 divided by 4 is 7

2.
The formula F=(n)/(4)+37 estimates the temperature F in degrees Fahrenheit when crickets chirp n times per minute. Use the formula to estimate the temperature when n = 75 chirps/min. Round to the nearest whole number, if necessary.

A. 53°F

B. 56°F

C. 58°F

D. 52°F

Answers

Answer:

B. 56°F

Step-by-step explanation:

Brainliest and Thanks
100 points
The spinner below shows 10 equally sized slices. Charmaine spun the dial 40 times and got the following results.
Outcome Grey White Black
Number of Spins 25 9 6
Fill in the table below. Round your answers to the nearest thousandth.
(a) From Charmaine's results, compute the experimental probability of landing on white.

(b) Assuming that the spinner is fair, compute the theoretical probability of landing on white.
(c) Assuming that the spinner is fair, choose the statement below that is true:

1. The experimental and theoretical probabilities must always be equal.

2. As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

3. As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.

Answers

So, 9/40= 0.225 (experimental probability for white)

I’m confused about (b) because the spinner has 10 sections but there has only been 3 outcomes. If the spinner has 3 sections the changes of white would be 0.333.

2. Is correct, the more times you spin the closer you’ll get to the theoretical probability.

Answer:

9/40= 0.225 (experimental probability for white)

(b) because the spinner has 10 sections but there has only been 3 outcomes. If the spinner has 3 sections the changes of white would be 0.333.

2. Is correct, the more times you spin the closer you’ll get to the theoretical probability.

Step-by-step explanation:

1.How can you find the x-intercept of the graph of 2x+3y=6. Explain in words pls

Answers

Answer:

Step-by-step explanation:

The x-intercept is the value of x when y=0.

2x+3(0) = 6

x = 3

The x-intercept is 3

Please helllppp . . . only give answer if you are 100% sure it's correct please!!

Solve In(x – 2) – In(x – 3) = 1. Round your answer to three decimal places.

#natural logarithm #algebra 2

Answers

Condene the logarithms on the left side by applying the property, ln(a) - ln(b) = ln(a / b):

ln(x - 2) - ln(x - 3) = 1

→   ln((x - 2) / (x - 3)) = 1

Now take the exponential of both sides:

exp(ln((x - 2) / (x - 3))) = exp(1)

(x - 2) / (x - 3) = e

Solve for x :

x - 2 = e (x - 3)

x - 2 = e x - 3e

x - e x = 2 - 3e

(1 - e) x = 2 - 3e

x = (2 - 3e) / (1 - e)3.582

SOLVE this for a BRAINLIEST (easy question + 15 points). (Good luck this is VERY EASY!.)
Only the correct answer for the second box gets a brainiest.

Good luck!

Answers

Answer:

total change is 8505

Step-by-step explanation:

hope that helped

Is (3, 4) a solution of y < 4.1 - 2 ?

Answers

The answer is no because if y is 4 then the equation is incorrect

please help with this! i will mark the best answer brainliest. (image included)

Answers

Answer:

6 units

Step-by-step explanation:

A'B'C' is equal to ABC

Please hurry and thank you for your help

Answers

Answer:

c. y = -1/3x+3

Step-by-step explanation:

i hope this helps :)

What is the area of this

Answers

Answer:

48

Step-by-step explanation:

9х - 5 = 1/4(16х + 60) solve for x

is the answer 20 or something else?​

Answers

Answer:

9x - 5 = 1/4(16x+60)

9x - 5 = 4x + 15

5x =20

x=4

Let me know if this helps!

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