A zoologist selected 12 black bears in a Canadian habitat at random to examine the relationship between the age in years, x, and the weight in tens of pounds, y. The 95 percent confidence interval for estimating the population slope of the linear regression line predicting weight in tens of pounds based on the age in years is given by 1.272 + 0.570. Assume that the conditions for inference for the slope of the regression equation are met. Which of the following is the correct interpretation of the interval?
A. We are 95 percent confident that the mean increase in the weight of a black bear for each one-year increase in the age of the bear is between 7.0 and 18.4 pounds.
B. We are 95 percent confident that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds.
C. We are 95 percent confident that for every one-year increase in the age of black bears in the sample, the average increase in the weights of those black bears is between 7.0 and 18.4 pounds.
D. We are 95 percent confident that the mean increase in the age of a black bear for each one-pound increase in the weight of the black bear is between 7.0 and 18.4 years.
E. We are 95 percent confident that any sample of 12 black bears will produce a slope of the regression line between 7.0 and 18.4.

Answers

Answer 1

Answer:

A

We are 95 percent confident that the mean increase in the weight of a black bear for each one-year increase in the age of the bear is between 7.0 and 18.4 pounds.

Step-by-step explanation:

The 95 confidence interval given by 1.272±0.570, or (0.702,1.842), estimates the relationship between weight in tens of pounds and age in years. So we are 95 percent confident that the mean increase in the weight of a black bear will be between 7.0 and 18.4 pounds for each one-year increase in the age of the bear.

Answer 2

The correct interpretation of the provided confidence interval is given by:

Option B: We are 95 percent confident that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds.

How to interpret confidence interval?

Suppose the confidence interval at P% for some parameter's values is given by [tex]x \pm y[/tex]

That means, that parameter's estimated value is P% probable to lie in the interval [tex][x - y, x + y][/tex]

For this case, the regression line predicts weight in tens of pounds based on the age in years.

The 95% confidence interval for that prediction is given to be: [tex]1.272 \pm 0.570[/tex]

That means, the predicted value of weight of a black bear (in tens of pounds) when one year age is incremented is 95% probable to lie in the interval [tex][1.272 - 0.57, 1.272 + 0.57] \approx [0.7, 1.84][/tex]

That is for weight in tens of pounds. Converting it to pounds gives us the interval [tex][7.0, 18.4][/tex] approx.

Note the words "prediction", and "of a bear".

That makes us conclude that:

Option B: We are 95 percent confident that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds.

(focus on the "will result in" phrase. It is taking similar to prediction thing. Since we're taking about regression line which tries to fit line for prediction of future output values for input values, thus, we chose second option.)

Thus, the correct interpretation of the provided confidence interval is given by:

Option B: We are 95 percent confident that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds.

Learn more about confidence interval here:

https://brainly.com/question/2396419


Related Questions

PLEASE HELP 20 POINTS!

Answers

Answer:

20/132

Step-by-step explanation:

There is a 5/12 chance of event A happening, Event B has a 4/11 chance happening so you multiply the chances together and get  20/132

Suppose a scientist has 13 liters of acid and she needs 16 liters for an experiment.
How many more liters of acid does she need for the experiment?

Which equation best describes this situation?

a. 16+x=13

b. 13+x=16

c. x=13

d. x=16

Answers

B cause 13 plus x is equal to the 16 liters that u need and u already have 13 liters

Which statement is true? A The greatest common factor of 10 and 14 is 5. B The greatest common factor of 10 and 15 is 5. C The greatest common factor of 13 and 21 is 3. D The greatest common factor of 14 and 21 is 3.​

Answers

A - the greatest common factors is 5

Which of the following numbers are irrational?

Answers

Answer:

c.

hope it helps :)

Step-by-step explanation:

Answer:

B. Pi

Step-by-step explanation:

Pi is an irrational number---you can't write it down as a non-infinite decimal. This means you need an approximate value for Pi. The simplest approximation for Pi is just 3.

HELP!!!!The area of a sector is 120pi with a radius of 20. What is the measure of that central angle?
A. 22
B. 108
C. 216
D. 11

Answers

Answer:

Step-by-step explanation:

22

(13x + 12x) divided by 4 = 10

What is x

Answers

Answer: x is 8/5

Step-by-step explanation:

Answer:

x = [tex]\frac{8}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{13x+12x}{4}[/tex] = 10 ( multiply both sides by 4 to clear the fraction )

25x = 40 ( divide both sides by 25 )

x = [tex]\frac{40}{25}[/tex] = [tex]\frac{8}{5}[/tex]

help ASAP plzzzzzzzzzzzzzz

Answers

Answer:

e = 16

Step-by-step explanation:

-5e-4e = -144

-9e = -144

e = 16

Hey need more help with this test dont answer if you dont know

Answers

No,
Option b is the correct answer

A car travels 30 km in 5.5 hours and 400 km in 5.5 hours find the average speed of the car during the entire journey

Answers

Answer:

This is your answer

Answer:  39.09 km per hour average

Step-by-step explanation:

add total distance and divide by total time

(30+400)/(5.5+5.5)

430/11=39.0909

Please look at photo and ignore already selected answer

Answers

Answer:

Question (A) firgue b is pallorgram

Question ( B) Only A is a rentengle

Question (C) is already right

Step-by-step explanation:

A. Shape B
B. Shape A
C. Shape C

Mark as brainliest plz

A line has an unlimited amount of points on it. Why do you think this is true?

Answers

Answer:

bc  if it has no points  it will go on infinitely

Step-by-step explanation:

Line has at least two point, but it can have unlimited amount of point. Even a short line can have unlimited amount of points.

can someone help plz?

Answers

Answer:

The answer is: Yes

Step-by-step explanation:

1. Substitute the 2's for the x's.

2. Substitute the 3's for the y's

3. You get 4-9= -5

4. Do the same for the second problem.

5. 8-12= -4

6. Both problems are correct once the substitutions are made, therefore the answer is "Yes".

Answer:

REASONS TO KEEP OUR PROMISES

1. Introduction

Promises are valuable because they allow us to receive assurances that others will act in

certain ways and give these assurances ourselves. Assurances are worthwhile because they

can give us peace of mind, we can use them to establish and stabilize private schemes of

cooperation and, anyway, we often have good reason to want people to do (or not do) certain

things. The obligation to keep a promise derives in some way from the value that assurances

provide.1

Accounts of our fiduciary obligations divide over the role they assign to social practices.

David Hume and John Rawls argue that promising creates in others the relevant assurances

only if there exists a social practice of promising in which most everyone knows that people

generally fulfill their promises. These philosophers think that our fiduciary obligations

depend essentially on an institution of promising, but they disagree about why we have an

obligation not to violate its rules. Hume seems to think that promise-breaking is wrong in

virtue of impartial disapproval towards acts that undermine the practice of promising while

Rawls argues that it is wrong to break a promise because doing so exploits a just institution of promising from which we have voluntarily benefited.2

In contrast to these practice views,

Thomas Scanlon maintains that our obligation to keep a promise does not necessarily depend

on any social convention; instead, he argues that we ought to keep our promises because we

have a duty not to frustrate certain expectations that our promising can induce in others.3

These three views are often presented as competing accounts of the most fundamental

reason why we should keep our promises. I believe that none of them, however, can explain

our fiduciary obligations in all (or most) cases that involve binding promises. Scanlon’s

expectation view is subject to a fatal circularity in paradigm cases in which our only reason

to keep a promise is an awareness that, having made a promise, we are obligated to keep it.

Hume’s view cannot explain why we ought to keep a promise the breaking of which is

unlikely to undermine the institution of promising. And Rawls’ view (along with Hume’s)

cannot explain why it is wrong to break promises that are made when no social practice of

promising exists. Moreover, neither practice views nor expectation views alone can fully

explain the wrongs involved in breaking promises that both invoke the rules of a social

practice of promising and lead others to form certain expectations about our actions. This

suggests that there is no single, fundamental reason why we should keep our promises.

After arguing for these claims, I go on to sketch an alternative account according to

which a family of fiduciary principles, including ones similar to those suggested by Hume,

Rawls and Scanlon, explains why we ought to keep our promises. A principle is a fiduciary

principle if it explains why one or more promises are binding. On this view, no single fiduciary principle explains why all binding promises generate obligations and often one or

more fiduciary principle will apply in a given case, possibly over-determining why we should

keep that promise. For example, principles of the sort proposed by Rawls and Scanlon would

each give us sufficient reason to keep a promise that invokes the rules of a just institution of

promising and also arouses certain expectations in others. A pluralist account of this sort, I

argue, provides a better framework for understanding the nature of our fiduciary obligations.

If the compound interest paid for rupees 4000 is rupees 420 then find the

amount paid at the end of the time period​

Answers

Answer:

[tex]Amount = Rs4420[/tex]

Step-by-step explanation:

Given

[tex]Principal = Rs4000[/tex]

[tex]Interest = Rs420[/tex]

Required

Determine the amount paid

This is calculated as:

[tex]Amount = Principal + Interest[/tex]

[tex]Amount = Rs4000 + Rs420[/tex]

[tex]Amount = Rs4420[/tex]

Please help with this its confusing somehow :(​

Answers

Answer: C.

Step-by-step explanation: divide -27 by 3

you buy two packages of almonds and mix them together into one bowl one package is 4.08 kg and the other is 6.81 kg how much is in the bowl

Answers

ummmmmmmmmmmmmmmmmm 10.89kg

If p=4 and q=6, evaluate the following expression:66/p+3q​

Answers

Answer:

3

Step-by-step explanation:

Since p = 4 and q = 6

Then:

66 / 4 + (3 x 6)

66 / 4 + 18

66 / 22

3

Answer: 3

Plug in p and q into the equation.

66/ (4) + 3(6)
66/ 4 + 18
66/ 22
3

what's 28.782 to the nearest degree?

Answers

Answer:

I really dont know so u do it

Step-by-step explanation:

Answer:  It's 29 degrees.

For a polygon with 10 sides, which equation below represents the sum of the interior angles in the polygon?

Answers

Answer:

I mean I don't know your options, but the answer is probably something like y=180x

Step-by-step explanation:

Answer:

1440

Step-by-step explanation:

Sum= (180)(8)=1440

Better:

Sum= (x-2)(180)

x represents the number of sides

So it would be

sum=(10-2)(180)

The answer then would be 1440

what is the probability of having a standard deck of 52 cards, while having a 3 card hand and getting dealt a jack and a king.​

Answers

Answer:

The deck of 52 playing cards is broadly classified into 2 which are further divided into 2 divisions.

Red(26 cards) and Black(26 cards).

The red cards are further divided into diamonds♦️ (13 cards) and hearts♥️ (13 cards).

The black cards are further divided into clubs♣️(13 cards) and spades♠️(13 cards).

In each division of 13 cards classified above, there are/is-

3 face cards- King, Queen, Jack

One ace card

9 number cards(numbered from 2–10)

So, there are twelve face cards in a deck.

When three cards are picked, you may pick any three face cards out of the 12 face cards.

P(getting 3 face cards)=

No. of favourable face cards/ Total cards I.e,

12C3/52C3. By solving it we get 22/22100

=0.00995

Step-by-step explanation:

Please help with my ACT PRep

Answers

Answer:

it's D because in a graph y=3/4x-2 is not possible

Can someone plz help me with this one problem plz I really need this to be correct!!!

Answers

Answer:

The answers would be 5.42 and 5.1.

Step-by-step explanation:

The diagram shows 5.39, so those answers would be more than the diagram shows.

3x + 2y = -2
2x - 2y = -18

Answers

Answer:

What’s your Question?

Step-by-step explanation:

Can someone help me with these two charts please

Answers

The answer to this question is you need to use the BOFA Method hope this helped

A large candy bar was 102 calories. The smaller candy bar has 18 percent less
calories. How many calories does the smaller candy bar have?

Answers

Answer:

89 I think

Step-by-step explanation:

my bad if I'm wrong I bearly woke up

Trevor built 8 birdcages to sell at the Connellsville Craft Show. He hopes to earn $112. Trevor will write an equation for p, the price in dollars he will charge for each birdcage.

A. Write an equation for the scenario.





B. What value of p makes the equation true? Explain how you found your answer.








C. Suppose Trevor decided he wants to earn $270 with the 8 birdcages. Write an
equation he could use to find p, the price in dollars he should charge for each birdcage. Tell how much Trevor should charge now, and explain why your answer is correct.

Answers

Answer:

a, 112/8

b, $14, found it by dividing

c, 270/8. Now he should charge $33.75. This is correct because 33.75*8=270

Step-by-step explanation:

Helppppp
needdddd it​

Answers

Answer:

angle don+angle gil=90°

don+ 74°=90°

don=90°-74°

don=16°

angle e + angle a=180°

128°+angle a=180°

angle a=180°-128°

angle a=52°

Answer:

1. 16°

2. 52°

Step-by-step explanation:

So!! Complementary angles add up to 90 degrees, and supplementary angles add up to 180 degrees. With this, it should be really easy. To find the measure of angle DON:

m∠DON + m∠OIL = 90°

m∠DON + 74°=90°

m∠DON=16°

For the measure of angle A:

m∠A+m∠E=180°

m∠A+128°=180°

m∠A=52°

Hope this helped!

The school that Molly goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 10 adult tickets and 10 student tickets for a total of $260. The school took in $94 on the second day by selling 5 adult tickets and 2 student tickets. Write and solve a system of linear equations to find the price of an adult ticket and the price of a student ticket.

Answers

Answer:

Student ticket: $12, Adult ticket: $14

Equations: 260=10x+10y, 94=2x+5y

Step-by-step explanation:

Set adult tickets as y

Set student tickets as x

First day: Total made is 260 so set that equal to 10x + 10y

--> 260=10x+10y

Second day: Total made is 94 so set that equal to 2x + 5y

--> 94=2x+5y

I find it easier to have simplified terms so simplify (divide by 2) the first equation to get: 130=5x+5y

All you have to do now is solve for the two variables.

94=2x+5y - (130=5x+5y) --> x=12, y=14

PSYCHOLOGY!!! Which theory claims that individuals label emotions based on how they are interpreted?
A.
Cannon-bard theory
B.
James-Lange theory
C.
relative deprivation principle
D.
Schachter's two factor theory

Answers

Schachter's two-factor theory claims that individual labels emotions based on how they are interpreted.

What is Schachter's two-factor theory?

The Schacter two-factor theory states that emotion is the product of the interplay of two variables:

Physiological excitation and Cognition.

This theory suggests that physiological excitation is cognitively understood and interpreted within the setting of each encounter, resulting in the emotional experience.

The relationship between bodily arousal and how we cognitively perceive that arousal is the subject of the two-factor theory of emotion.

To put it another way, merely feeling arousal is insufficient; we must also recognize the arousal in order to interpret and experience the emotion.

Learn more about Schachter's two factor theory here:

https://brainly.com/question/7118820

Answer:

James-Lange theory

Step-by-step explanation:

find total surface area WILL FIVE BRAINLIEST

Answers

317.06646122227 in^2

Researchers were interested in looking at air quality in different regions of the United States. The following dot plot represents the number of days in a certain month that the air quality was unhealthy for eighteen cities in the Midwest.
10
Days
Which of the following box plots represents the same data displayed on the dot plot above?

Answers

Answer:

b

Step-by-step explanation:

you have to find the mean of the equation

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