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 = 0.9465

R² = 0.8958

Step-by-step explanation:

Given the data:

Traffic Flow, X : ()

1257

1329

1227

1336

1349

1124

Vehicle speed, Y () :

36

45

30

50

55

25

The estimated regression equation using a linear regression calculator is given thus:

ŷ = 0.1286X - 123.2175

According to the general linear regression formula :

y = mx + c

Where ; y = predicted variable (vehicle speed)

x = predictor variable (traffic flow)

Slope, m = 0.1286

Intercept, c = 123.2175

The correlation Coefficient, R = 0.9465, This depicts a strong positive relationship between traffic flow and vehicle speed.

The Coefficient of determination, R² = 0.9465² = 0.8958 ; This means about 89.5% of variation in Vehicle speed can be explained by the regression line.


Related Questions

Plz help! Answer at least one of these questions and i will give you brainly! It’s ok if you don’t know them all!

Answers

for number 3 it is 56 pints! i’ll do the other ones in a second
3: 7gallons = 56 pints

please tell fast plzzzzzz​

Answers

Step-by-step explanation:

1x+4x=180(sum of supplementary angles)

5x. =180

x. =180/5

x. = 36

Grayson took out a loan for $900. In 18 months, he paid $54 in simple interest. What was the interest rate on Grayson's loan?

Answers

Answer:

.

Step-by-step explanation:

The tape diagram represents an equation. w 1.3 2.7

Answers

Answer:   2/3

Step-by-step explanation:

Answer: w + 1.3 = 2.7

Step-by-step explanation: i did it in khan academy ∩(︶▽︶)∩ HOPE IT HELPS

1/2
¿Cuántos envases de 1/2 de litro
se pueden llenar con el líquido de
una tina de 12 litros?​

Answers

Es 24.......................

PLEASE HURRY!

Type the correct answer in each box.
The table shows Alice's age (a) and her daughter Martha's age (m). Complete the table and the equation.

Alice’s Age in Years
(a) Martha’s Age in Years
(m)
28 6
33 _
37 15
41 19
48 _


This equation relates Alice’s and Martha's ages in years.

Alice’s age (a) = Martha’s age (m) + _

Answers

Answer:

33-11

48-26

Alice’s age (a) = Martha’s age (m) + 22

Step-by-step explanation:

In order to find the blank spots you would need to find the difference in the filled spots. We are trying to figure out the difference which is subtraction.

28 - 6 = 22

To make sure we are correct we would do another problem.

37 - 15 = 22

So in order to find Martha's age when Alice was 33, we would subract 22.

33 - 22 = 11

Same when Alice was 48.

48 - 22 = 26

And the last equation is asking the difference between them, which would be 22.

Answer: 11 and 26

Step-by-step explanation:

hope this helps :)

using binomial expansion evaluate (0.99)^6​

Answers

Answer:

.92367 I think. I'm I'm wrong I'm sorry

A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.

How long is each piece?

2 inches
3 inches
4 inches
6 inches

Answers

Answer:

3 inches

Step-by-step explanation:

Answer:

3 in

Step-by-step explanation:

Find the missing lengths or missing angles

Answers

Answer:

hj=6

because it's angle are equal and equilateral triangle have equal angles so, the length is 6

The missing lengths is hj = 6

Can someone explain to me how to do this problem?
x • 1 + x/1 =

Answers

x • 1 + x/1
x + x/1
2x/1
=2x

A coffee table is on sale for 20% off the original price of $115. If there is a 6% sales tax, what is the final price of the coffee table?

Answers

Answer:

$97.52

Step-by-step explanation:

(original price) 115 - (discount) 23 = 92 (new price)

92 plus 6% sales tax = $97.52 (final price)

Which operation should you perform first when evaluating the expression:

3 to the power of 2+2

Answers

Answer: the power so ans should be 81

Step-by-step explanation:

It depends is the 2+2 in parentheses if so the 2+2 but if not then the power

7. What is the DEGREE of the following binomial:
3x-2

Answers

I believe the answer is 1

Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the variance. Round answer to 4 decimal places. Answer:

Answers

Answer:

a) P(X=1) = 0.302526

b) P(X=5) = 0.010206

c) P(X=3) = 0.18522

d) P(X≤3) = 0.92953

e) P(X≥5) = 0.010935

f) P(X≤4) = 0.989065

If helpful, please mark as brainliest! =)

Given a random variable x following binomial distribution. If n = 25 and p = 0.85, the variance = 3.1875.

What is variance of binomial distribution?

Variance of the binomial distribution is a measure of the dispersion of the probabilities with respect to the mean value. The variance of the binomial distribution is σ² = npq, where n is the number of trials, p is the probability of success, and q is the probability of failure.

Given random variable x follows binomial distribution.

n = 25

p = 0.85

q = 1 - 0.85 = 0.15

variance = npq = 25 * 0.85 * 0.15 = 3.1875

Learn more about variance of binomial distribution here

https://brainly.com/question/19052146

#SPJ3

Which table represents a linear function?
Х
1
2
3
4
y
--2
-6
-2
-6
Х
1
2
3
4
у
-2.
-5
-9
-14
Х
1
2
3
4
y
-2
-10
-18
-26
Х
1
2
у
|--2
-4
O

Answers

Answer:

The last table is the answer

Step-by-step explanation:

The last table has a constant slope of -3, hence it represents a linear function.

Table of functions

From the given table, we need to determine which of the table is a linear table.

To determine that, we must check which of the table has a constant rate of change

Looking at the last table;

Slope = -4-(-2)/2-1
Slope = -4+1/1

Slope = -3

Since the last table has a constant slope of -3, hence it represents a linear function.

Learn more on function here: https://brainly.com/question/3632175

What is the length of the longest side of a triangle that what is the length of the longest side of a triangle that has vertices at (-4,2), (-4,6), and (4,2)?
O A.
415 units
OB.
573 units
OC.
73 units
OD.
V90 units

Answers

Answer:(-4,6)

i dunno it in units lol sowwy

Step-by-step explanation:

How much will it cost Tom if he used his cell
phone for 850 minutes in one month?
Tom's basic cell phone plan charges
$79.99 for service plus $0.18 per minute
beyond the included 800 minutes in the
plan. How much will it cost Tom if he used his cell phone for 850 minutes in one month?

Answers

Answer:

88.99

Step-by-step explanation:

his plan includes 800 minutes for 79.99, all we need to do is calculate the cost of the extra 50mins he used and add it to 79.99. this is ((850-800)*0.18) +79.99 and this is equal to 88.99

$79.99 for the month of 800 minutes
$0.18 X 50 minutes over the included 800
Total = $79.99 + $9 = $88.99

) Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.

can you pleas help and show your work :)

Answers

Answer:

9 cows, 15 chicken

Step-by-step explanation:

9 x 4 = 36

15 x 2 = 30

9 + 15 = 24

36 + 30 = 66

The ratio of children to adults at a movie theater was 8:5. The theater sold 120 children tickets
that evening. How many adults attended the theater that night? How many tickets did the theater
sell altogether?

Answers

Answer:

75 adults

195 total tickets

Step-by-step explanation:

8:5

120:x

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

can someone please help me
Step-by-step explanation please

Answers

Answer:

x=3

Step-by-step explanation:

AB+BC>AC

2x + 3 + x + 1 > x + 10

we correct like terms

2x + x + 3 + 1> x+ 10

3x + 4> x + 10

3x - x > 10-4

2x > 6

divide both sides by 2

2x÷2 > 6÷2

x = 3


What are the coordinates of the x-intercept of the line 3x - 2y = 12?

Answers

Answer:

(4,0)

Step-by-step explanation:

Please help me with steps

Answers

Answer:

224 cm³

Step-by-step explanation:

Decompose the figure into two cuboid.

Volume of the bigger cuboid = L*W*H

L = 7 cm

H = 7 cm

W = 4 cm

Volume of the bigger cuboid = 7*7*4 = 196 cm³

Volume of smaller cuboid = L*W*H

L = 7 cm

W = 2 cm

H = 2 cm

Volume of smaller cuboid = 7*2*2 = 28 cm³

✅Volume of the figure = 196 cm³ + 28 cm³ = 224 cm³

Home work
Give (2) advantages and
disadvantages of modern
and traditional Kitchen​

Answers

Answer:

modern kitchen=sandwich,Chinese food etc.

traditional kitchen = roti,sabji indian food etc.

One fifths the difference between 2/5 and 1/2

Answers

Answer:

1/50

Step-by-step explanation:

1/2 - 2/5 = 5/10 - 4/10 = (5-4)/10 = 1/10

1/5 * 1/10 = 1/(5*10) = 1/50 = 0.02

Answer:

1/50

Step-by-step explanation:

1/2 - 2/5 = 5

/10 - 4/10 =

1/10 / 5 =

1/50

Hope that helps!

A figure is reflected across the x-axis, then reflected across the y-axis.
Which of the transformations will not always produce the same result?

A. Reflection of each point on the figure across the origin
B. Rotation of 180°
C. Reflection across the y-axis, then across the x-axis
D. Reflection across the line y=x

Answers

I think that the answer is or might be B

Find the slope from the graph.

Answers

Answer:

1/6

Step-by-step explanation:

Answer:

-2/3

Step-by-step explanation:

rise=-2

run=3

rise/run(slope)=-2/3

8 slices of pizza and 5 sodas cost $36.50. 4 Slices of pizza and 10 sodas cost $37. How much does a slice of pizza cost? How much does a soda cost?


PLEASE HELP

Answers

Step-by-step explanation: If we use the variable p to represent our pizzas and s to represent our sodas, if our first equation states than 8 slices of pizza and 5 sodas cost $36.50, that's 8p + 5s = 3650.

Notice that I expressed cost in terms of cents so

that we can avoid having to deal with decimals.

In our second equation, 4 slices of pizza and

10 sodas cost $37, that's 4p + 10s = 3700.

Now let's rewrite our two equations on top of one another.

8p + 5s = 3650

4p + 10s = 3700

To solve this system of equations, I would use addition.

I would multiply the bottom equation by -2

to create a situation where our p's will cancel.

When we do that, we get -8p - 20s = -7400.

Now rewrite the equations once again ~

8p + 5s = 3650

-8p - 20s = -7400

Now add the equations together.

So we have -15s = -3,750.

Divide both sides by -15 and s = 250.

Remember that I expressed cost in terms of cents so

since s = 250, it really means that a soda is $2.50.

Now just plug an s back in for the s in one equation.

When we do this, we find that p = 300.

So a pizza is $3.00

Which equation has the steepest graph?
Answer Choices:
y = 2x + 4
y = -4x – 1
y = 1/2 x + 10
y = 5x + 2​

Answers

Answer:

y = 5x + 2

Step-by-step explanation:

in order to find if a line is steeper, you need to look at the slope

the greater the slope, the steeper the line will be

y = 2x + 4

y = -4x - 1

y = 1/2x + 10

y = 5x + 2

out of all of these options, y = 5x + 2 has the largest slope. this means that it is the steepest one.

x/(x-2)*(x+2)*(x-1) into partial fraction
​no matter how many times i redo it my answers just not matching with that of my books. can we have different answers?

Answers

Answer:

((-1 + x) (2 + x) X)/(-2 + x)

Step-by-step explanation:

1 (x^(2)x)/(x-2)+(xx)/(x-2)-(2x)/(x-2)

2 (x(x+1)-2)x)/(x-2)

3 (x(xx+x)-2x)/(x-2)

4(x^(2)x+xx-2x)/(x-2)

5 (-2 + x + x^2) X)/(-2 + x)

Root

X = 0 , X-2=0

Roots

X=-2

X=1

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