The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss, at various temperatures in degrees Celsius:

Temperature (degrees Celsius) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Percent heat loss from beak 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67
a. The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: _____ (Use decimal notation. Give your answer to four decimal places.)

b. Use the equation to predict (
±
0.01) beak heat loss, as a percent of total body heat loss from all sources, at a temperature of 25 degrees Celsius.

c. What percent (
±
0.01) of the variation in beak heat loss is explained by the straight-line relationship with temperature?

d. Find the correlation r (
±
0.001) between beak heat loss and temperature.

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Temperature (degrees Celsius) : 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Percent heat loss from beak : 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67

Using an online regression calculator ; the regression equation obtained is :

ŷ = 2.0927X + 0.6029

X = independent variable

Y = predicted variable

2.0927 = slope

0.6029 = intercept

B.) temperature = 25

ŷ = 2.0927(25) + 0.6029

= 52.9204

C.) the explained variance is the value of the coefficient of determination (R²) which is the square of the correlation Coefficient

0.8785² = 0.7718

D.) the correlation Coefficient r is 0.8785 using the Coefficient of regression calculator


Related Questions

(50 points!)
Find the missing angles​

Answers

Answer:

<2= 133

<3 = 47

<4 = 133

<5 = 47

<6 = 133

<7 = 47

<8 = 133

Step-by-step explanation:

im assuming a transversal is cutting the two lines, and that the 2 lines are parallel

2 = u must do 180-47 since theyre supplementary angles

3 = they are vertical angles

4 = 4 is a vertical angle to 2, but you can also do 180-47 since it is supp. to 3

5 = corresponding angle to the 47 degrees one

6 = alternate interior with 4, but also corresponding with 2

7 = vertical angles with 5 but also alternate exterior with the 47 degree angle , but also supplementary with both 6 and 8, and corresponding with 3

8= corresponding with 4, but also supplementary to 7 and 5. and vertical to 6

Answer:

<2= 133  <3 = 47   <4 = 133  <5 = 47  <6 = 133  <7 = 47  <8 = 133

what’s 3/4 of 2/5 ?

** I WILL MAKE UP BRAIN LIST OR SOMETHING

Answers

Answer:

[tex] \frac{3}{10} [/tex]

Step-by-step explanation:

[tex] = \frac{3}{4} \times \frac{2}{5} [/tex]

[tex] = \frac{3 \times 2}{4 \times 5} [/tex]

[tex] = \frac{6}{20} [/tex]

[tex] = \frac{6 \div 2}{20 \div 2} [/tex]

[tex] = \frac{3}{10} [/tex]

Answer:

[tex] \frac{3}{10} [/tex]

Step-by-step explanation:

This is a shorter explanation. It's better to use this if you are good at maths or in a higher level.

[tex] \frac{3}{4} \times \frac{2}{5} [/tex]

[tex] = \frac{6}{20} [/tex]

[tex] = \frac{3}{10} [/tex]

That's it.

Need a step by step answer please

Answers

Answer:

x=10

Step-by-step explanation:

x+2+x=22

combine like terms x + x to get 2x:

2x + 2 = 22

subtract 2 on both sides:

2x = 20

divide by 2 on both sides to isolate x:

x=10

apple music sells music online. yesterday, its customers downloaded a total of 7,950 songs. today, they downloaded 5,883 songs. billy says that the percent of decrease in the two-day count of downloads is 35%. is billy correct or incorrect? explain your answer in a complete sentence.​

Answers

Answer:Billy is correct

Step-by-step explanation:

Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?
0.8 of an inspection in 1 hour
4 inspections in 5 hours
1.25 inspections in 1 hour
5 inspections in 4 hours

Answers

Answer:

1.25 inspections in an hour

so it is c!

10/8= 1.25

Answer:

its c

Step-by-step explanation:

lol xd rawr (i hate myself)

Describe how to write a three-digit number in three different ways. ​

Answers

Answer:

Step-by-step explanation:

how do u want me to solve it

1 3 Divide - 2 +7=Explain each step you used to find the quotient. 9 5 What is the first step in finding this quotient? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a fraction. Use a comma to separate answers as needed.) O A. Multiply the whole parts of the mixed numbers. The product is OB. Multiply the fraction parts of the mixed numbers. The product is OC. Convert the mixed numbers to fractions. The fractions are OD. Find the reciprocal of the dividend. The reciprocal is​

Answers

Answer:    15 an ummm  fine

Step-by-step explanation:

Answer:

15 is the correct answer

What are the coordinates for the park ?

Answers

Answer: hey panini

Step-by-step explanation:

What is the z-score for Paula If she got 1400 on the SAT, the mean was 1100 and the
standard deviation was 275?

Answers

Yea it is 275 with standard subtract
1400-deviation=275

Answer all parts please.

Answers

Answer:

no

Step-by-step explanation:

fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite

use benchmarks to estimate the sum 11/15 +1/8

Answers

Answer:

103/120

Step-by-step explanation:

If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, multiply it by 2, subtract 3 and multiply the result by 4.​

Answers

Answer:

4(2x-3)

Step-by-step explanation:

Answer:

4 x (2x-3)

I hope it helps

Pls mark as Brainliest

Show every subsequence of a subsequence of a given sequence is itselfa subsequence of the given sequence. Hint: Define subsequences asin (3) of Definition 11.1 g

Answers

Answer: Suppose that [tex]S_{n}[/tex],  [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that  [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex]  ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required. 

Step-by-step explanation:

If you suppose that [tex]S_{n}[/tex],  [tex]K_{n}[/tex] and [tex]A_{n}[/tex]  are all representing three sequences respectively, and you also suppose that  [tex]A_{n}[/tex] is a subset (in other words subsequence) of [tex]K_{n}[/tex] and [tex]K_{n}[/tex]  is a subset (in other words subsequence) of [tex]S_{n}[/tex], where n takes its values from the set of positive integers. We can safely say that [tex]A_{n}[/tex] is a subsequence of [tex]S_{n}[/tex] and this can demosnstrated mathematically as follows:

Suppose that [tex]S_{n}[/tex],  [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that  [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex]  ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required. 

is this correct I made an educated guess because I don't really understand it

Answers

Answer:

Option (2)

Step-by-step explanation:

A function 'f' has been given as,

f(x) = 3x + 1

And the inverse of this function is,

[tex]f^{-1}(x)=\frac{x-1}{3}[/tex]

We have to find the value of f(2).

So we will use the expression: f(x) = 3x + 1

By substituting x = 2 in this function,

f(2) = 3×2 + 1

     = 6 + 1

     = 7

This result tells us the value of the function at x = 2.

Therefore, Option (2) will be the answer.

Which set of ordered pairs represents a function?
o {(1,3) (2,5) (4, 9) (4, 13)}
o {(1,3) (1,5) (4, 9) (6,3)}
o {(1,3) (2,5) (2,9) (6, 13)
o {(1,3) (2,5) (4,9) (6,5)}
pls help

Answers

The last answer because the domain (x) does not repeat itself! If you ever see the first letter repeat, that’s not a function! :)

y2 - 3y + 7 for y= -2

please help me

Answers

Answer:9

Step-by-step explanation: -2x2-3x-2+7=9

Answer:

9

Step-by-step explanation:

(-2x2) - (3x-2) + 7 = 9

What is the slope of the line whose equation is 12=4x-6y?

Answers

Answer:

slope is 2/3

Step-by-step explanation:

12=4x-6y

We add 6y both sides

12+6y=4x

than subtract 12 from both sides

6y=4x-12

than divide both sides by 6

y=2/3x-2

and the slope is  2/3

Factors are the numbers used to multiply. True False​

Answers

Answer:

True

Step-by-step explanation

A=1/2h(a+b), solve for a

Answers

Step-by-step explanation:

2A=h(a+b)

2A=ha+hb

2A-hb=ha

2A-hb/h=a

Multiply by 2 on both sides to get:
2A = h(a + b)

Divide by h on both sides to get:
2A/h = a + b

Subtract b from both sides to get:
(2A/h) - b = a

Kevin’s school is 5.2 miles away from his house. How far is this in yards? Do not round your answer. _________ yards

Answers

Answer:

9152 yd

Step-by-step explanation:

The body mass index (BMI) of a person is the person’s weight divided by the square of his or her height. It is an indirect measure of the person’s body fat and an indicator of obesity. Results from surveys conducted by the Centers for Disease Control and Prevention (CDC) showed that the estimated mean BMI for US adults increased from 25.0 in the 1960–1962 period to 28.1 in the 1999–2002 period.

Suppose you are a health researcher. You conduct a hypothesis test to determine whether the mean BMI of US adults in the current year is lower than the mean BMI of US adults in 2000. Assume that the mean BMI of US adults in 2000 was 28.1 (the population mean). You obtain a sample of BMI measurements of 1,034 US adults, which yields a sample mean of M = 28.9. Let μ denote the mean BMI of US adults in the current year.

Required:
Formulate your null and alternative hypotheses by selecting the appropriate values in the blue dropdown menus that follow.

Answers

Answer:

The null hypothesis is  [tex]H_o : \mu = 28.1[/tex]

 The alternative hypothesis is  [tex]H_a : \mu < 28.1[/tex]

Step-by-step explanation:

From the question we are told that

   The population mean at 1960 - 1962 is  [tex]\mu_1 = 25.0[/tex]

    The population mean at 1999- 2002 is  [tex]\mu_2 = 28.1[/tex]

     The sample size is  n=  1034

     The sample mean is  [tex]M = 28.9[/tex]

 The null hypothesis is  [tex]H_o : \mu = 28.1[/tex]

 The alternative hypothesis is  [tex]H_a : \mu < 28.1[/tex]

What is the slope of the line passing through the points (-3, 4) and (2, - 1)?

Answers

Answer:

slope = -1 or -x

Step-by-step explanation:

Do y2-y1/x2-x1

Plug in

-1 - 4/ 2 - -3 = -5/5

(Simplify)

-1 so the slope is

-1 or -x

If you want to find the equation use one of the points you have.

4 = -1(-3) + b

4 = 3 + b (subtract 3 on each side)

1 = b

y = -1x + 1 is the equation

slope = - 1

explanation:
m = y2 - y1
————
x2 - x 1

(x1,y1) = (-3,4) -1 - 4 -5
———————. -> ———- = ——- = -1
(x2,y2) = (2,-1). 2 - ( -3) 5



Round 34,138 to the nearest thousand??

Answers

Answer:

34,138 to the nearest thousand is 34,000!

Step-by-step explanation:

Hope this helps! Good luck! <3

Answer:

0

Step-by-step explanation:

Nick's sister is 7 years less than twice Nick's age, a. The sum of Nick's age
and his sister age is 41. Which equation represents this relationship?

Answers

Answer: a+(2a - 7) = 41

Step-by-step explanation:

Let be "a" the Nicci's age and "s" the Nicci's sister.

You know that the sum of Nicci's age and her sister's age is 41. This can be represented with the following equation

Over the past week, 40% of the phone calls to Alicia's cell phone were from her son. Let's say you know that her son called her 12 times. Find out how many total calls she received from her son.

Answers

Answer:

40%

Step-by-step explanation: hope this helps

Answer:

She received 12 calls from her son and 30 calls in total.

Step-by-step explanation:

40% of 30 is 12.


A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3 for A, $6 for B, and $15 for C. The production requirements and departmental capacities are as follows.
Production Requirement by Product
Department
(hours)
Departmental Capacity
(total hours)
A
B
Assembling
2
30,000
Painting
1
38,000
Finishing
2
28,000
What is the maximum profit in this model?
3
ONN
2
1
O A. $57,000
OB. $95.000
C. $225,000
D. $75,000

Answers

9514 1404 393

Answer:

  C.  $225,000

Step-by-step explanation:

The utilization for each department must be at most the available capacity. Each product quantity must be non-negative.

You could almost guess the answer here because the profit on product C is so much higher than for the others.

Profit is maximized by producing as much of product C as possible. That quantity is limited by the assembly hours constraint: 2C ≤ 30,000. This permits production of 15,000 units, so gives a profit of ...

  $15·15,000 = $225,000 . . . maximum profit

It costs $19.50 for postage and $5 for insurance to send a one-pound box by Express Mail.

How much does it cost to send 12 one-pound boxes by Express Mail?

Answers

294 dollars

Okay so you would take 19.50 and add the 5 dollar insurance giving you 24.50. Then you’d take the 24.50 and multiply it by 12 giving you 294 dollars

Really hope I got that right

A map has a scale of 2 in: 6 mi. If Clayton
and Centerville are 10 in apart on the map
then how far apart are the real cities?

Answers

Both cities are 30 miles apart in real

At a middle school, 3 out of 4 students ride a bus to school. There are 600 studenta at the school. How many students ride a bus to school

Answers

Answer:

450 students ride a bus to school.

Step-by-step explanation:

If 3 out of 4 middle school students attend class by bus, it could be stated that 75% of the students use this means of transport to get to class (3/4 = 0.75).

Therefore, if this school has a total of 600 students, and 75% of them use the bus, it could be stated that 450 students attend school using this means of transport (600 x 75/100 = 450).

Answer:

450 students

Step-by-step explanation:

1/4 = 0.25

3/4 = 0.75

600 x 0.75 = 450 students

Hope this helps!

Lucas owed his friend 12$. He got some money from babysitting and was able to pay his friend back $8. What is his balance now?
~find an equation to match this word problem and solve~
Plz i need it right now thanksss

Answers

Answer:

balance $4

Step-by-step explanation:

12 - 8 = 4

Answer:

$4

Step-by-step explanation:

$ = 12 - 8

12 - 8 = $4

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