Data for length of the tail (in millimeters) and age (in days) of tadpoles is entered into a statistics software package and results in a regression equation of ŷ = 15 - 1.5x.

What is the correct interpretation of the slope if the length of the tail is the response variable and the age is the explanatory variable?

Answers

Answer 1

Using the slope concept, it is found that the correct interpretation is that each day, the length decreases by 1.5 millimetres.

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which

m is the slope, which is the rate of change, that is, how much y changes when x changes by 1.b is the y-intercept, which is the value of x when y = 0.

In this problem, the length of the tail, in millimetres, after x days, is given by:

[tex]y = 15 - 1.5x[/tex]

The slope is of [tex]m = -1.5[/tex], which means that each day, the length of the tail decreases by 1.5 millimetres.

A similar problem is given at https://brainly.com/question/13967935


Related Questions

A sweet potato casserole recipe calls for cup of flour for 4 servings. To serve 16 people, how much flour is needed?

Answers

Answer:

4 Cups of Flour

Step-by-step explanation:

Pls help the options are 3 1/2

3 3/4


2 1/2


2

Answers

2 is the correct answer, when you see a negative think of it like subtracting from the other number
The correct answer to this equation is 2.

A submarine dives 51 3/5 meters below the surface of the water in 4 minutes. how many meters does the submarine dive each minute? NO LINKS!
A: 12 9/10
B: 12 3/4
C: 206 2/5
D: 47 3/5

Answers

Answer:

so you have to subtract for minus 53 so 4 - 53 is wait you have to subtract 51 and 3 and 1/2 - 4 so I'mma just get to the answer the answer is b

Which expressions are equivalent to?

Answers

Answer:

-6(b+2) +8

= -6b -12 +8

= -6b -4

Step-by-step explanation:

The distance, y, Miranda travels while cross-country skiing, y, her distance traveled, varies directly with the amount of time, x, that she skis. Suppose Miranda skis 10 miles (the y coordinate) in 2 hours (the x coordinate).
A. What is the speed in miles per hour that Miranda is traveling?

B. Use your answer for (A) to write a direct linear variation equation relating this information.

C. How far will Miranda go in 3 hours?

D. If she travels 20 miles, how long did she ski? This one is worked out backward, be careful!
show your work

Answers

Using the principle of direct variation, the solution to the problem given are :

5 miles per hour d = 5t15 miles 4 hours

Given the Parameters :

Distance = d

Amount of time = t

d α t ; d = kt

We can find k = constant of proportionality = speed of travel ;

d = 10 miles ; t = 2 hours

10 = 2k

k = 10/2

k = 5

Hence, speed = 5 miles per hour

B.) The direct linear variation expression becomes ;

d = 5t

C.) Distance traveled in 3 hours :

t = 3 hours

d = 5t

d = 5(3) = 15 miles

D. Time taken to travel a distance of 20 miles

d = 5t

20 = 5t

t = 20/5

t = 4 hours

Therefore, it will take 4 hours to travel a distance of 20 miles.

Learn more :https://brainly.com/question/13218948

What is the slope of the line represented by the equation y = 4/5x - 3?

Answers

4/5 aka up 4 out 5 (starting point is -3)

Enter the missing values in the area model to find 6(8p-7)

Answers

Step-by-step explanation:

6(8p - 7)

48p - 42 ans.

hope this answer helps you dear take care and may u have a great day ahead!

2. The fifth term and eighth terms of a Gp are 80 and 640 respectively find

a) values of r and a
b) the first five terms

Answers

Answer:

a values of r and a that the answer

there are 3 factors in the equation 5 x 3 x 2 = 30 true or false

Answers

Answer:

true

Step-by-step explanation:

the factors are simply what is being multiplied together. We can see there are 3 because we have 5,3,and 2. 30 is not a factor because that is the answer. I hope this helps!

True, 5x ( 3 x 2 )
3 x 2 = 6
6 x 5 = 30

identify two opposite rays.
please help me asap

Answers

Answer:

AP-> and AM->

Step-by-step explanation:

They are the only two rays that directly-oppositely face one another.

At the train station, the cost for parking is based on an hourly fee. Patrons that park for 2 hours or less are charged at the short term parking fee but patrons that park for more than 2 hours are charged at the long term parking fee. The parking cost can be modeled with the following piecewise equation, where x represents the number of hours . f(x)={9x, x≤212x, x>2 How much would it cost to park at the train station for 8 hours? Enter your answer in the box.

Answers

Answer:

96

Step-by-step explanation:

Solve for the value of P. Please!!

Answers

the value of P is 10 because

What is the measure of the angle formed by the minute hand and hour
hand of a clock in each case?
at 6 o'clock
at 4 o'clock
at 3 o'clock

PLEASE HELP ASAP PLEASE

Answers

Answer:

180 degrees, 120 degrees, 90 degrees

Step-by-step explanation:

each hour is 30 degrees.

at 6 o'clock the hands are straight, at 4 o'clock they make a 120 degree angle, and at 3 o'clock they make a right angle

please help me :DDDDDDDD

Answers

Answer:

x+5 > 4

Step-by-step explanation:

x+5 > 4 can be changed to

 -5 .   -5

x>-1

that is what is shown

The school auditorium has 438 seats. There are 18 rows of seats. What is the best estimate for the number of each seats in each row?

Answers

Answer:

24

Step-by-step explanation:

You take 438/18 to get 24.
The answer is 24

A circle on the coordinate plane has a diameter
with endpoints at (6, 8) and (15, 8).
a. What are the coordinates of the center of the
circle?
b. What is the diameter of the circle?
C. What is the radius of the circle?
d. Identify the coordinates of another point
on the circle. Explain how you found
your answer.

Answers

9514 1404 393

Answer:

  a. (10.5, 8)

  b. 9

  c. 4.5

  d. (10.5, 12.5)

Step-by-step explanation:

a. The center of the circle is the midpoint of the diameter. Its coordinates are the average of the end point coordinates.

  C = ((6,8) +(15, 8))/2 = (21, 16)/2 = (10.5, 8) . . . circle center

__

b. The diameter lies on the horizontal line y=8, so its length is the difference of the x-coordinates of the end points: 15 -6 = 9 . . . circle diameter

__

c. The radius is half the diameter: 9/2 = 4.5 . . . circle radius

__

d. Another point on the circle will be 4.5 units from the center on the same vertical line: (10.5, 8) +(0, 4.5) = (10.5, 12.5) . . . another point on the circle

Write the equation of the graph in slope-intercept form (y = mx + b)​

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

To find the slope, use rise over run with two points. The first point (0,4) to the second point (-2,-2) is 6 units down and 2 units to the right, so you can set up a fraction to solve for the slope:

-6/2 = -3

To find the y-intercept,find the point where the x-value is 0. That point is (0,4),so the y-intercept is 4.

mx represents the slope, so mx is -3x and b is the y-intercept, so that value is 4.

Answer:

y = -3x + 4

Step-by-step explanation:

m = the slope (rise/run)

b = y-intercept

we can see that the rise is 6 (based on the two points) and the run is 2 (based on the labeled points)

- that means that m = 6/2 or m = 3

y = 0  when x = 4, so the y-intercept is 4, or b = 4

put it together!

y = 3x +b

BUT WAIT!!

- the line is decreasing which means that your equation should be negative, so put a negative symbol before 3x.

   - why? the rise is decreasing!

final equation --------> y = -3x + 4

In the following, write the binary number in base 10.
110010112

What’s the answer

Answers

1100 1011₂ = 1•2⁷ + 1•2⁶ + 1•2³ + 1•2¹ + 1•2⁰

1100 1011₂ = 128 + 64 + 8 + 2 + 1

1100 1011₂ = 203

28=2x+6 can you please help

Answers

Answer:

Please look at the picture i have sent

Write the equation of the line in slope-intercept form. The line is parallel to y+x=3 and passes through the point (−12, 0).

Answers

y = -x + 3

y = -(x + 12)

y = -x - 12

help plsss ^ _ ^ ….. !

Answers

X=6 answer is d. Put all x in one side then add them. At last divide it will be 6 Hope this helps

Answer:

x = 6

Step-by-step explanation:

150 - x - 2x = 120 + 2x

place the like terms at the same side . So,

150 - x - 2x - 2x - 120 = 0

now add/subtract like terms

30 - 5x = 0

adding 5x on the both sides

30 = 5x

30/5 = x

6 = x

: 11 = 1 /3 : 6

plz help

Answers

Let the number be x

[tex]x:11 = \frac{1}{3} :6[/tex]

Divide the numbers

[tex] \frac{x}{11} = \frac{ \frac{1}{3} }{6} \\ \frac{x}{11} = \frac{1}{18} [/tex]

Multiply all terms by the same value to eliminate fraction denominators

[tex]11 \times \frac{x}{11} = 11 \times \frac{1}{18} [/tex]

Cancel multiplied terms that are in the denominator

[tex]x = 11 \times \frac{1}{18} [/tex]

Multiply the numbers

[tex]x = \frac{11}{18} [/tex]

Solved ✔︎

X=11/18 this is the answers, hope it helps

Solve using a proportion . 5) If it costs $2.85 for 5 cookies, how much would 8 cookies cost?​

Answers

Answer:

$4.56

Step-by-step explanation:

2.85:5

multiply each side by 8/5

4.56:8

so it is $4.56 for 8 cookies

NO LINKS OR ASSESSMENT!!!

Part 2: Graph the image of the figure using the transformation given. Don't forget to prime marks on your new image.

4. Reflection across the y-axis​

Answers

Answer:

F' = (2 , -4)

G' = (-1 , -3)

H' = (4 , 0)

I' = (5 , -2)

Step-by-step explanation:

To get the coordinate points of a figure that is reflected across the y-axis, perform the following action to each point:

(x , y) → (-x , y)

Using this will give the points of F', G', H', and I'.

To find the new points, plug in the values into the formula:

F → F' = (-2 , -4) → (2 , -4)

G → G' = (1 , -3) → (-1 , -3)

H → H' = (-4 , 0) → (4 , 0)

I → I' = (-5 , -2) → (5 , -2)

To graph the new figure, plot the new points and connect them. At each point, remember to label them with the corresponding letter as well as the ' symbol.

-2, 4, -8, 16……
Find the geometric sequence!!! Find the 10th term. I need to get this right!

Answers

You need to multiple by -2, so the tenth term would be 1052

Please mark brainliest :)

Two of the dozen eggs in a carton
are cracked. About what percent of the
carton is cracked?

Answers

Answer:

17%

Step-by-step explanation:

2/12 or the eggs are cracked. That means 1/6 of the eggs are cracked.

1/6 approximately equals 0.167

So, it is approximately 16.7%, or if you round it up, 17%.

Answer:

16.67 %

Step-by-step explanation:

two of a dozen is 2/12 simplified is 1/6 and 1/6 in a percentage is 16.67%

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

Answers

x is constant .

Count the boxes each as 1.

Its easier to calculate on y axis.

f(x) intersected at -2g(x) intersected at 3.

[tex]\\ \sf\longmapsto k=3-(-2)[/tex]

[tex]\\ \sf\longmapsto k=3+2[/tex]

[tex]\\ \sf\longmapsto k=5[/tex]

Answer:

• For g(x), consinder y-intercept (0, 3)

• For f(x), consinder point y-intercept (0, -2)

[tex] \hookrightarrow \: { \tt{g(x) = f(x) + k}}[/tex]

• substitute using coordinates above:

[tex]{ \tt{3 = - 2 + k}} \\ \\ { \tt{k = 3 + 2}} \\ \\ { \boxed{ \tt{ \: \: k = 5 \: \: }}}[/tex]

this is hard need help

Answers

Graph 1 - no

Graph 2 - no

Graph 3 - yes

Graph 4 - no

Graph 5 - no

Graph 6 - yes

Good luck !!

Animal
Is a bird can fly



Pig
Penguin
Seagull
Tiger
Crow
Bat
Mosquito



Let event A = The animal is a bird
Let event B = The animal can fly.
Which outcomes are in A and B?
O A. {seagull, crow}
O B. {penguin, seagull, crow, bat, mosquito}
O c. {penguin, seagull, crow}

O D. (seagull, crow, bat, mosquito)
Need Helpp

Answers

Answer:

A. {seagull, crow}

Step-by-step explanation:

sorry im late but hopefully this helps anyone!

The option A is correct {seagull, crow}.

What is probability?

Chance is represented by probability. A part of math manages the event of an irregular occasion. The value is expressed as a number from 0 to 1. Likelihood has been acquainted in Math's with anticipate how likely occasions are to occur. The extent to which something is likely to occur is basically what probability means. The probability distribution is also based on this fundamental probability theory.

Given a table shows relation in  Animals  is a bird and can fly

where, Let event A = The animal is a bird

Let event B = The animal can fly.

to find the  outcomes are in A and B

According to the table, each of the two events provided by the problem describes a condition that must be verified. The first event specifies that it must be a bird, while the second event specifies that it must fly.

Accordingly, the creatures that have the two occasions confirmed in the table are he seagull and crow.

Hence the  {seagull, crow} are  outcomes are in A and B.

Learn more about probability;

https://brainly.com/question/11234923

#SPJ2

NEEED HELP ASAP PLS.................

Answers

(6)(-2)= 12
(-6)(2)= -12
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