g A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. where traffic flow in vehicles per hour vehicle speed in miles per hour The following data were collected during rush hour for six highways leading out of the city. Traffic Flow () Vehicle Speed () 1257 36 1329 45 1227 30 1336 50 1349 55 1124 25 a. Use the data to compute the coefficients of this estimated regression equation (to decimals). Enter negative value as negative number. (Create the variable first using Data/Transform

Answers

Answer 1

Answer:

ŷ = 0.1286X - 123.2175 ;

r = 0.947

r² = 0.896

Step-by-step explanation:

Given the data:

Traffic Flow, X : ____Vehicke speed ;Y()

1257 ______________36

1329 ______________45

1227 ______________30

1336 ______________50

1349 ______________55

1124 ______________ 25

The estimated regression equation using a linear regression calculator based on the data given above is given thus:

ŷ = 0.1286X - 123.2175

Where ;

y = dependent variable (vehicle speed)

x = predictor variable (traffic flow)

Slope = 0.1286

Intercept = 123.2175

The correlation Coefficient, R, obtained using the correlation Coefficient calculator is 0.9465, This depicts a very strong positive relationship between traffic flow and vehicle speed.

The Coefficient of determination, R² which is the squared value of the correlation Coefficient = 0.9465² = 0.8958 gives the proportion of explained variance ; This means about 89.5% of variation in Vehicle speed can be explained by the regression line.


Related Questions

javier walks from his home at point k to the internet cafe at point 0. if the school at point w is exactly halfway between javier's house and the internet cafe, how far does javier walk?

Answers

Answer:

actually need the numericals but attached

Step-by-step explanation:

if we take it as 1 km then it would be

home to cafe = 1 km

cafe to school =

[tex] \frac{1}{2} [/tex]

so it will be 1 + 1/2 that is

[tex]1 \frac{1}{2} km[/tex]

ok mark me as brainlist

Norton Corp. does not elect the fair value option for recording its financial liabilities. The discount resulting from the determination of a note payable's present value should be reported on its balance sheet as a(n)
Direct reduction from the face amount of the note.
Deferred charge separate from the note.
Deferred credit separate from the note. Addition to the face amount of the note.​

Answers

Answer:

más bien ya otro día sera

PLEASE HELP IM ON A TIME LIMIT!!!

Answers

Answer:

i answered the other question like this check your other question for the answerrs

Step-by-step explanation:

Of 20 students, 9 are girls

% of girls

% of boys

Answers

Girls: 45%
Boys : 55%

Answer:

45% and 55%

Step-by-step explanation:

Total student = 20

No of Girls = 9

No of boys = Total student - No of Girls

                  =20-9

                  =11

Percentage of Girls = (No of Girls / Total student) * 100

                           = (9/20)*100

                           = 45 %

Percentage of Boys = (No of Boys/ Total student) * 100

                           = (11/20)*100

                           = 55 %

Write the system of equations in slope intercept form.
Show ALL of your work!
y + 2x = 0
2y = -2 - 6

Answers

2x+y=0
y=-4

(x is 2 y is -4)

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

Step-by-step explanation:

y=x+69

Answer:

y=x+69

Step-by-step explanation:

5+69=74

6+69+75

etc.

Adam's starting salary is $52,750 per year. He is told that his salary will increase to $66,475 at the beginning of 9 years. What is the rate of Adam's salary?

Answers

Step-by-step explanation:

chcjdhxh bdb jxnbshxjkqld gnnfncjfjejxjxcznenxjxjxjjcfkjefjrjrjrkufcnnxn mfkfmkekndj

what is the quotient of 0.6÷243​

Answers

Answer:

the answer is 0.0024

Step-by-step explanation:

there are more digit's after 4 but hope this is enough

PLEASE ANSWER!! will mark brainliest​

Answers

Answer:

it's the second one

Step-by-step explanation:

a^7/a^13

=1/a^6

=1/(a^2)^3

= 1/ 3√(a^2)^3

=1/(a^2)

(c^3)^3

=3√(c^3)^3

=(c^3)

hence as these results matches so I think option b is correct.

Terrell brought $5.00 to spend at the rink's concession stand. Hot dogs cost $0.65, French fries cost $0.80, nachos cost $1.25, and drinks cost $0.95. If Terrell buys French fries and a drink, what is the maximum number of hot dogs he can purchase?

Answers

Answer:

5 hotdogs

Step-by-step explanation:

Deduct the price of French fries + drink from the total amount of money he has.

5.00 - 0.80 - 0.95 = 3.25

Divide the amount of money left with the amount of money each hotdog cost.

3.25 ÷ 0.65 = 5

An adult and 5 children rent skates. It costs $4 per adult for skates and a total of
$16.
What is the equation?

Answers

Answer:

$24

Step-by-step explanation:

(1+5) x 4 = 24 dollars

help asap, i will mark brainliest!

Answers

Answer:

150m

Step-by-step explanation:

[tex]Length=120-(-30)=120+30=150m[/tex]

how much principal must be deposited to earn $1000 simple interest in 2 years at a rate of 5%

Answers

Answer:

1100                                                                 brainliest please

Step-by-step explanation:

1000×2×0.05=100

1000+100=110

Which of the following inequalities does the graph represent

Answers

Answer:

di KO kaya sorry kahit ako dipa KO talks dyan

HELP ASAP PLS!!! ONLY HAVE 10 MINUTES LEFT TO FINISH

Answers

Answer:

Step-by-step explanation:

The graph gave us two points: (5,0)(0,1)

Let’s find the slope!

1-0/0-5

slope is 1/-5

y=-1/5x+b

Choose one point and plug it into x and y

1=-1/5(0)+b

1=0+b

b=1

y=-1/5x+1

Answer:

y=-1/5x+1

Step-by-step explanation:

Is the relation a function ?

Answers

I would say no but sorry if I’m wrong

what is 1+1 This isn't a trick question

Answers

Answer:

2

Step-by-step explanation:

Suppose a line parallel to side Y Z of AXY Z intersects sides XY and XZ at points N and M, respectively. Which of the
following is false? (1 point)

Answers

12yx and 17xz is the answer to the equation

A red t-shirt costs $9.50. A black t-shirt costs 4 times as much as the red t-shirt. How much does the black t-shirt?
A. $36.50
B. $28.25
C. $36
D. $38

Answers

Answer: D or $38

Step-by-step explanation:

Answer: The answer is D) $38.

Step-by-step explanation:

When you multiply $9.50 by 4 you get $38.

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

its $63.96

Step-by-step explanation:

Using the formula (b) and replacing the given values:

Sale Price = Original Price - Amount Saved. So,

Sale Price = 79.95 - 15.99

Sale Price = $63.96 (answer).

This means the cost of the item to you is $63.96.

You will pay $63.96 for a item with original price of $79.95 when discounted 20%.

In this example, if you buy an item at $79.95 with 20% discount, you will pay 79.95 - 15.99 = 63.96 dollars.

Answer:

$63.96

Step-by-step explanation:

$79.95 = 100%

The jacket is on sale for 20% off, therefore it is 100% - 20% = 80% or 0.8

0.8 x $79.95 = $63.96

Please mark me brainliest.

4.- Un vehículo ha tardado 23 minutos en recorrer 86 Km. Si suponemos que no cambió de
velocidad en el trayecto, ¿qué velocidad llevaba cada segundo?
5.- Hemos dado la vuelta a un circuito en 34 segundos, llevando una velocidad constante de 13​

Answers

Answer:

I speak English.

Step-by-step explanation:

I  am from America.

The radius of a parachute is shown below.
What is the diameter of the parachute? What is the circumference of the parachute?

Answers

Step-by-step explanation:

Diameter is 6 ft

3 ft + 3ft

... me no like math...

Answers

Answer:

i got 61.27

Step-by-step explanation:

quater circumference [tex]=\frac{3.14 * 22}{4}[/tex]

                                      = 17.27

20+2+2+(20-11)+11+17.27 = 61.27

The cost of a tablet after a 20% discount can be represented by the expression t-0.2t. Simplify the expression

Answers

0.8t

Steps are on paper.

Step-by-step explanation:

simplified 0.16t I used a simplify calculator

The volume of a cone-shaped hole is 1471 ft. If the hole is 9 ft deep, what is the radius of the hole



Please don’t put random numbers i just want the answer, I’ll make you brainliest

Answers

The volume πr^2*height/3=1471

π*r^2=1471/9*3

π*r^2=490.33(I'm rounding all my numbers to the hundredths digit)

r^2=490.33/3.14(taking 3.14 for pi)=about 156.16

r= sqrt 156.16=about 12.5

Again this answer is not precise but I rounded everything to the hundredths digit because pi is never ending. I hope it helped!

(5 pts) It takes Jack 3 hours longer to write holiday cards than it takes Jill. Together, they can write them
in 2 hours. How long does it take each person to write the cards working alone?​

Answers

Answer:

Jack needs 6 hours and Jill needs 3 hours.

Step-by-step explanation:

Let's define the variables:

X  = rate at which Jack can write a holiday card.

Y = rate at which Jill can write a holiday card.

Each of them will need a given time to write a card, such that:

X*T = 1 card

We know that Jack needs 3 more hours to write a card than Jill, then Jill needs 3 hours less than Jack, so if Jack needs T hours, Jill will need T - 3 hours

Then we have the equation:

Y*(T - 3 hr) = 1 card

And we also know that when they work together, they need 2 hours, then:

(X + Y)*2 hr = 1 card.

So we have 3 equations:

X*T = 1 card

Y*(T - 3 hr) = 1 card

(X + Y)*2 hr = 1 card.

Now let's ignore the card part just for the equations, then we get:

X*T = 1

Y*(T - 3 hr) = 1

(X + Y)*2 hr = 1

To solve it, we first need to isolate one variable in one of the equations, let's isolate T in the first equation, we get:

T = 1/X

Now we can replace this in the second equation to get:

Y*((1/X) - 3hr) = 1

So now we have two equations:

(X + Y)*2 hr = 1

Y*((1/X) - 3hr) = 1

We need to do the same, isolate one variable in one of the equations, let's isolate Y in the above one:

Y*2hr = 1 - X*2hr

Y = (1 - X*2hr)/2hr

Now we can replace this in the other equation to get:

((1 - X)/2hr)*((1/X) - 3hr) = 1

Now we can solve this for X:

((1 - X)/2hr)*((1/X) - 3hr) = 1

(1 - X)*((1/X) - 3hr) = 2 hr

1/X - 3hr - X*2hr/X + X*2hr*3hr = 2hr

1/X - 3hr - 2hr + X*6hr^2 = 2hr

1/X + X*6hr^2 = 2hr + 3 hr + 2 hr = 7hr

1/X + X*6hr^2 = 7hr

Now we can multiply all by X to get:

X/X + X*(X*6hr^2) = 7hr*X

Now we have the quadratic equation:

(6hr^2)*X^2 - (7hr)*X + 1 = 0

We can find the solutions of this equation if we use the Bhaskara's formula, the solutions are:

[tex]X = \frac{-(-7hr) +- \sqrt{(-7hr)^2 - 4*(6hr^2)*1} }{2*6hr^2} = \frac{7hr +- 5hr}{12 hr^2}[/tex]

Then we have two solutions:

X = (7hr + 5hr)/12hr = 1 hr^-1

And this is the rate at which Jack writes a card, so the actual units are:

X =  0.167 card/hr

Then Jill's rate will be:

Y = (1 - X*2hr)/2hr = (1 - 1card/hr*2hr)/2hr = -0.5 card/hr

So we have a negative rate, this makes no sense, so we can discard this option. The other solution for X is:

X = (7hr - 5hr)/12hr = 0.166... hr^-1

And this is the rate at which Jack writes a card, so the actual units are:

X =  0.166... card/hr

If we have this, then the rate for Jill will be:

Y = Y = (1 - X*2hr)/2hr = (1 - 0.167card/hr*2hr)/2hr = 0.333 card/hr

Then we have:

X = 0.167 card/hr

If we use the first equation, we get:

(0.166... card/hr)*T = 1 card

T = 1 card/((0.166... card/hr)) =  6 hours

Then Jack needs 6 hours to write a card.

And we know that Jill needs 3 hours less than that, then Jill needs 3 hours.

54 is 60% of what number? Enter your answer in the box.


PLZ HELP I WILL GIVE BRAINLIEST

Answers

Answer:

90

Step-by-step explanation:

you do 54 ÷ 60% = 90

check:

60% of 90 is 54 .

can I have brainliest.

The Answer XX

The Other Person Shouldn't Have Answered You Said You'd Give Brainliest And Then You Turn Around And Say You Don't Know How You Are Messed Up That Is Sad You Can Tell You Only Wanted The Answer And I'm Not Giving You The Answer To Confirm It Your Messed Up And You Are Also SELFISH

And Go Ahead And Go Off On Me Ill bLaSt Yo AyAs

lil fun for yall
what is the answer to this step by step?

Answers

Answer:

194332.125 is the amount of interest

Step-by-step explanation:

A company estimates that 0.5% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $200.

If they offer a 2 year extended warranty for $11, what is the company's expected value of each warranty sold?

Answers

Answer:

The company is expected to make [tex]\$ 1[/tex] on every extended warranty sold.

Step-by-step explanation:

Let [tex]X[/tex] denote whether a product with the extended warranty requires replacement in that two years. ([tex]X\![/tex] would be a random variable.) Assume that [tex]X = 1[/tex] means that the product requires replacement, and [tex]X = 0[/tex] otherwise.

Assume that this product requires replacement in that two years. That is: [tex]X = 1[/tex]. The company would then bear a cost of [tex]200 \times 1 =200[/tex] for replacing this product (since [tex]X = 1\![/tex], that cost would be the same as [tex]200 = 200 \times 1 = 200\, X[/tex].)

On the other hand, assume [tex]X = 0[/tex] (that is: this product does not require replacement in that two years.) The company would not need to pay for replacing this product. Since [tex]X = 0\![/tex], the expression [tex]200\, X[/tex] would still represent the cost for the company for this warranty.  

Either way, [tex]200\, X[/tex] would denote the replacement cost that the company would bear for this product. However, given that the company would charge [tex]\$ 11[/tex] for the extended warranty, the net revenue of the company on this warranty would be [tex]((-200) \, X + 11)[/tex]. (An earning of [tex]\$11 \![/tex] minus a spending of [tex]200\, X \![/tex].)

The question states that [tex]0.5\%[/tex] of the products would need replacement in this period. In other words, the expected value of [tex]X[/tex] would be [tex]\mathbb{E}(X) = 0.005[/tex].

The expected revenue of the company on this warranty would be:

[tex]\mathbb{E}(200\, X + 11)[/tex].

Apply the linearity of expected values to find the value of [tex]\mathbb{E}(200\, X + 11)[/tex]:

[tex]\begin{aligned}& \mathbb{E}((-200)\, X + 11) \\ &= (-200)\, \mathbb{E}(X) + 11 \\ &= (-200) \times 0.005 + 11 = 1\end{aligned}[/tex].

Hence, the company is expected to make [tex]\$ 1[/tex] on every extended warranty that it sold.

help pls will give brainiest

Answers

Answer:

A= (3,3)

B= (4,1)

C= ( 1,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A 2, -1

B 1, -3

C 4, -4

Hope this helps!

Thanks for Brainliest!

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