Consider the following data on x = weight (pounds) and y = price ($) for 10 road-racing bikes.

Brand Weight Price ($)
A 17.8 2,100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000

Required:
Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level.

Answers

Answer 1

Answer:

There is a significant relation between weight and price

Step-by-step explanation:

              Brand Weight(x)          Price ($) (y)

A                  17.8                        2100

B                   16.1                        6,250

C                   14.9                        8,370

D                   15.9                        6,200

E                   17.2                        4,000

F                   13.1                         8,500

G                   16.2                        6,000

H                   17.1                         2,580

I                   17.6                          3,500

J                   14.1                         8,000

Null Hypothesis : [tex]H_0: \mu =0[/tex]

Alternate Hypothesis : [tex]H_a: \mu \neq 0[/tex]

Given : SST=51956800 SSE= 7312286.84 n = 10

SSR = SST-SSE

SSR=51956800-7312286.84

SSR=44644513.16

Level of significance =[tex]\alpha = 0.05[/tex]

[tex]F=\frac{\frac{SSR}{m}}{\frac{SSE}{n-k}}[/tex]

Where m = no. of restrictions

k = No. of independent variables

[tex]F=\frac{\frac{44644513.16}{1}}{\frac{ 7312286.84}{10-2}}[/tex]

F=48.843

Degree of freedom 1 = 1

Degree of freedom 2 = 10-2=8

Using calculator

p-value is .000114.

p value < α

So, we reject the null hypothesis .

Hence There is a significant relation between weight and price


Related Questions

The distance between two points is √39 One endpoint is (4,−3). It is known that the y-coordinate of the other endpoint is 2.

What is the x-coordinate of this endpoint?

Answers

Answer:

[tex](4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)[/tex]

Step-by-step explanation:

We have the two points: (4, -3) and (x, 2).

We know that the distance between them is √39.

To find our x-coordinate of the second point, we can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Let (4, -3) be (x₁, y₁) and let (x, 2) be (x₂, y₂). We also know that the distance d is √39. Substitute:

[tex]\sqrt{39}=\sqrt{(x-4)^2+(2-(-3))^2[/tex]

Solve for x. First, let's square both sides. This cancels out the square roots:

[tex]39=(x-4)^2+(2+3)^2[/tex]

Evaluate the second term on the right:

[tex]39=(x-4)^2+(5)^2[/tex]

Square:

[tex]39=(x-4)^2+25[/tex]

Subtract 25 from both sides:

[tex]14=(x-4)^2[/tex]

Take the square root of both sides. Since we're taking an even root, we need plus/minus. So:

[tex]x-4=\pm\sqrt{14}[/tex]

Add 4 to both sides:

[tex]x=4\pm\sqrt{14}[/tex]

Therefore, there exists two possibilities for our second point. It can either be:

[tex](4-\sqrt{14}, 2)\text{ or } (4+\sqrt{14}, 2)[/tex]

And we're done!

help i am stuck look at the image to see but here anyways A teacher is planning a class trip to the aquarium. The aquarium requires two chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones and how many are for students

Answers

75 tickets are for the students and 10 are tickets are for the chaperones

Answer:

Kids- 75

Chaperones- 10

Step-by-step explanation:

We know that the total is 85 tickets. then the aquarium requires 2 chaperones for 15 kids, so you need to do...

15 + 2 = 17

85 / 17 = 5

15 x 5 = 75

2 x 5 = 10

check you work-

75 + 10 = 85

What’s the slope for (15,8) (10,7)

Answers

Answer:

[tex]\frac{1}{5} = 0.2[/tex]  

I hope this helps!

There are 16 boys and 12 girls in Mr.willam’s class. What is the ratio of boys to girls

Answers

Answer:

16:12 or 16 to 12

Step-by-step explanation:

Answer:

16:12 or 16 to 12

The ratio of boys to girls is 16 to 12.

Jordan will hike the trail shown at a rate of 2 mi/h. Write a linear equation to represent the distance Jordan still has to
walk after x hours. What does the y-intercept of the equation represent?

Answers

Answer:

If y represents the distance Jordan still has to walk after x hours, then the equation [tex] y = -2x + 13 [/tex] describes the given equation.

The y-intercept of the equation represents total distance of the trail

Step-by-step explanation:

A linear equation can be written to represent the situation above using the slope-intercept equation form, which is given as [tex] y = mx + b [/tex]

Where,

m = slope or rate of change = -2 mi/h (the slope is negative, because distance remaining decreases as hours increases)

b = y-intercept = 13 miles (this is the total distance of the trail. x (hours) is zero at this point)

The equation of the given situation, in slope-intercept form would be:

[tex] y = -2x + 13 [/tex]

A linear equation can be use to describe Jordan's distance because the

rate of change of the distance with time is constant.

First part: The linear equation is; y = 13 - 2·xSecond part: The y-intercept represents the total distance of the trail.

Reasons:

From the map in the question, we have;

The distance of the trail Jordan has to hike = 13 miles

The rate at which Jordan will work = 2 mi/hr.

Part One:

Required:

The linear equation that represents the distance Jordan still has to walk

after x hours.

Solution:

Let y represent the distance Jordan still has to walk after x hours

The distance walked per hour = 2 miles

The distance walked after x hours = x × 2 miles = 2·x miles

Total distance = 13 miles

Distance remaining = Total distance - Distance walked

Distance remaining, y = 13 - 2·x

The linear equation that gives the distance Jordan still have to walk after x hours, is therefore;

y = 13 - 2·x

Second part:

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

Therefore;

The y-intercept is; y = 13 - 2 × 0 = 13

Therefore;

The y-intercept represents the distance Jordan has to walk at the start

when the time, x, is 0, which is 13 miles or the the entire distance Jordan

has to walk.

Learn more here:

https://brainly.com/question/16924122

What is the correct next step to solve 3+2m=4m+1
A 3=2m+1
B 3+6m=1
C 3=6m+1
D 4=6m

Answers

The correct answer would be c because you need to move the 2m over to the side with the more m’s so you would then have 3=6m+1

The science club charges $6.50 per car at their car wash. How many cars do they have to wash to earn at least $500?

Answers

Answer: 77 cars

Step-by-step explanation: 6.50 * 77 = 500.5

If (-8, 3) is reflected across the x-axis the new point would be

Answers

Answer:

(-8, -3)

Step-by-step explanation:

Please help me figure this out-

Find the measure of the indicated angle that makes lines U and V parallel.

Answers

Answer:

80

Step-by-step explanation:

100°+?=180

?=180-100=80

The product of two consecutive odd integers is 2,915. Build a function that can be used to
solve for the integers. What are the two integers?

Answers

So we need to write some expressions first.
So for 2 consecutive odd integers you could have (2n-1) and (2n+1) as these are consecutive and odd. When you multiply these you get 2915 so

(2n-1)(2n+1) = 2915

So multiply out

4n^2 -2n +2n -1 = 2915
4n^2 -1 = 2915
4n^2 = 2916
n^2 = 729
N = 27
So 2n + 1 is 27x2 +1 is 55 and 2n -1 is 53

The two integers are 55 and 53

Hope this helps, let me know if you have any questions

The values of the two consecutive odd integers are 53 and 55.

Let the two consecutive odd integers be x and x+2.

Based on the information given, the equation to solve the question will be:

x(x + 2) = 2915

x² + 2x = 2915

x² + 2x - 2915 = 0

x² + 55x - 53x - 2915 = 0

x(x + 55) - 53(x + 55) = 0.

Therefore, x - 53 = 0

x = 0 + 53 = 53

x + 2 = 53 + 2 = 55

Therefore, the numbers are 53 and 55.

Read related link on:

https://brainly.com/question/18617854

write a verbal expression for x + y

Answers

y=Mx+-b pgigigiggihiihihohohoh

Find the least common multiple of 6a2 and 5a3.

Answers

I think it’s 30a3 but I’m not sure...

Mary is the manager of a new clothing shop. The shop located in a new shopping mall and Mary wants to estimate the average daily demand for her clothes. From her own experience, she believes that the mean daily demand of her clothes in this region should be greater than or equal to 100. She is going to perform a survey to test this claim and the result will be used to decide how many clothes should be maintained every morning in order to satisfy the customers' needs. (a) What is the implication of Type I error in this case? (b) What is the implication of Type II error in this case? (c) Which type of error is more significant (important), for Mary, in this case?

Answers

Explanation:

a) First, note that the Type I error refers to a situation where the null hypothesis is rejected when it is actually true. Hence, her null hypothesis would be H0: mean daily demand of her clothes in this region should be greater than or equal to 100.

The implication of Type I error in this case is that Mary rejects that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually true.

b) While, the Type II error, in this case, is a situation where Mary accepts the null hypothesis when it is actually false. That is, Mary accepts that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually false.

c) The Type I error would be important to Mary because it shows that she'll be having a greater demand (which = more sales) for her products despite erroneously thinking otherwise.

VsgsscNw d dhdnBskele r. Eheu

Answers

Lzlsjxkskalsokxjxjsks :)!

Mike sold half of his comic books and then bought 8 more. He now has 18. How many did he begin with?

Answers

Answer: 20

Step-by-step explanation:

Answer:

20.

Step-by-step explanation:

If he sold half of them, bought 8 more, and now has 18, he had 20 to begin with.

Part b at the airport to walk from the car to the waiting area by the gate was

Answers

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Solve 6.74x – 1.026 = 0.138. Round to the nearest thousandth. Show your work.

Answers

Answer:

x=0.173

Step-by-step explanation:

First thing I would do is add 1.026 to both sides. This would get you a equation that looked like, 6.74 x=1.164. Then just divide 1.164 and 6.74 by 6.74. This would get you x=0.1727003. Then because you have to round to the nearest thousand you have to round the 2 up because 7 is more then 5. Keep the first two number the same. The final answer is x=0.173.

The ratio of cows to chickens on Jack's farm is 3:5. Choose ALL correct statements that describe this relationship.

Answers

what are the answer choices

Translate this sentence into an equation.
57 is the sum of 9 and Diego's height.
Use the variable d to represent Diego's height.

Answers

Answer:

d + 9 = 57

Step-by-step explanation:

What is the slope intercept form for this?
Slope= 2/3 Y intercept= -1

Answers

Answer:

y = 2/3x-1

Step-by-step explanation:

8.5 x 103 - 5.3 x 103 -1.0 x 102

Answers

Answer:227.6Hope this helps!!

will give brainliest
Help
Question 1:
Which of the following expressions are equivalent to −3.5(2 − 3n) − 2.5n?


A. −7 − 8n
b. −7 − 13n
c. −7 − n(10.5 − 2.5)
d. . −7 + n(10.5 − 2.5)

Answers

Answer:

A is your correct answer

Step-by-step explanation:

Expand -3.5(2-3n): -7+10.5n

=-7+10.5n-2.5n

Add similar elemnts:  10.5n-2.5n=8n

=-7-8n


6. Joann needs $100 for a class trip. She has already saved $44. She sells
jean passes for $5 each. Which equation shows how many jean passes she
will need to sell?
A) 100 = 5x - 44
B) 100 = 5x + 44
C) 100 = -5x + 44
D) 100 = -5x + (-44)

Answers

Answer:

C

Step-by-step explanation:

Hope this helps :)

Brainest pls?

Answer:

answer c I took it got 100%

HWLP NOW IM FREAKING OUT INNEED HELP

Answers

Answer:

I believe the answer is 14

Step-by-step explanation:

0.25x14=3.5 or 3 1/2 hope this helped!! <3

Answer:

The answer is C

Step-by-step explanation:

Hope this helped!

Round 34,330 to the nearest thousand

Answers

Answer:30,000

Step-by-step explanation:

5 or more is greater 4 or you give it a rest

The answer is 30,000

Good luck

Richard is W years old express algebraically is age 10 years ago

Answers

Answer:

W-10

Step-by-step explanation:

Plzz mark me brainlest as it really need it to level up

w-10 cause he is w and you subtract 10 cause it was 10 years ago

Ariana needs to rent a car while on vacation. The rental company charges $18.95, plus 16 cents for each mile driven. If Ariana only has $40 to spend on the car rental, what is the maximum number of miles she can drive?

Ariana can drive a maximum of
miles without the cost of the rental going over $40.Round your answer to the nearest mile.

Answers

Answer:

Ok simple Algebra Question:

Let "x" be the number of miles she drives.

18.95 + 0.16x = 40.00

Subtract 18.95 from both sides.

0.16x = 21.05

Divide both sides by 0.16

You get:

x = 131.5625

Round to nearest mile:

Answer is: 132

2x•(-3x)+5•(2x²)-x•x=

??

Answers

Answer:

Step-by-step explanation:

Directions: Find the value of x.

5x-2 || 3x+4 || LOOK AT PICTURE PLEASE!!!!

Answers

Answer:

Step-by-step explanation:

180-90=90

5x-2+3x+4=90

5x-2+3x=90-4=86

5x+3x=86+2=88

8x=88

X=11

It will be nice if you give me brainliest.Good luck!

The value of x in the given right triangle is 11.

What is right triangle?

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

Given is a right triangle, with angles 5x-2 and 3x+4

We know that the sum of the both acute angles of a right triangle, is 90°

Therefore,

5x-2 + 3x+4 = 90°

8x = 88

x = 11

Hence, the value of x in the given right triangle is 11.

For more references on right triangle, click;

https://brainly.com/question/29285631

#SPJ2

Help ASAP , 15 points and a brainy.

Answers

Answer:

B

Step-by-step explanation:

Answer:

I think the answer is B. It slopes downward from left to right.

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