Question 12
Researchers are investigating how the amount of monthly rainfall measured in centimeters (cm)affects the monthly growth, in cm, of a certain plant. From a sample of data, the researcher
created a least-squares regression line. Computer output is shown in the following table.
Variable
DF
Estimate
T
Intercept 1
0.350
Rainfall
0.025
SE
0.75
2.14
1
0.15
6.00
Which of the following statements is an interpretation of the value 0.75 shown in the table?
Monthly growth is expected to increase by 0.75 cm when rainfall increases by 1 cm.
B
Rainfall is expected to increase by 0.75 cm when monthly growth increases by 1 cm.
С
For a month with 0 cm of rainfall, the monthly growth is expected to be approximately 0.75 cm.
D
For a plant with Ocm of monthly growth, the month had an expected rainfall of approximately 0.75 cm.
E
Approximately 75% of the variability in monthly growth is due to its linear relationship with rainfall.

Answers

Answer 1

Answer:

C

Step-by-step explanation:

We went over it in class.

Answer 2

The value of the y-intercept gives the value of predictor variable, y when the value of the explanatory variable, x is equal to 0.

Therefore, 0.75 is the value of the y-intercept which means that monthly growth will be 0.75 when the amount of Rainfall is 0cm.

The rate of increase per 1 cm increase in monthly Rainfall is the slope value the regression line.

The intercept value of y(monthly growth) is 0.75 cm and it is the value of growth when the amount of Rainfall is 0cm

The approximate percentage of variability is given by the coefficient of determination and not the value of the intercept.

Therefore, the value 0.75 infers that monthly growth will stand at approximately 0.75 when the value of Rainfall is 0cm.

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Related Questions

find the measure of the missing angle
a=

Answers

I agree with the person above because that is a 90 degree angle so we have 50 degrees what we have to do next is to subtract 50 from 90 which will give you your answer 40

What is the value of the slope of a line that passes through points (2,5) and (4,2)

Answers

Answer:

-3/2

Step-by-step explanation:

Using the slope formula leaves you with this

Answer:

-3/2

Step-by-step explanation:

We can find the slope of the line using

m = ( y2-y1)/(x2-x1)

   = ( 2-5)/(4-2)

  = -3/2

The larger of two numbers is twelve more than the twice smaller number. The sum of the numbers is 42. Find the two numbers . Please set up a , set up the equation , and then solve the equation .​

Answers

Answer:

             The smaller number:  a = 10

             The larger number is 32

Step-by-step explanation:

a - the smaller number

2a - twice the smaller number

2a+12   - twelve more than the twice smaller number (the larger number)

a + 2a+12  - the sum of the numbers

a + 2a+12 = 42

     -12              -12

          3a  =  30

          ÷3       ÷3

            a = 10

2a+12 = 2×10+12 = 20+12 = 32

Check:   10+32=42

Kim drove from Mathtown at (-2, 5) to Geometryville at (3, -1) to Algebra Springs at (-6, -5), and then back to Mathtown. Find the total distance Kim traveled to the nearest hundredth.

Answers

Answer:

Option (3)

Step-by-step explanation:

To solve this question we will use the formula,

Distance (d) between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

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

Distance between Mathtown (-2, 5) to Geometryville (3, -1)

[tex]d_1=\sqrt{(3+2)^2+(-1-5)^2}[/tex]

    [tex]=\sqrt{25+36}[/tex]

    [tex]=\sqrt{61}[/tex]

    [tex]=7.81[/tex]

Distance between Geometryville (3, -1) and Algebra Springs (-6, -5)

[tex]d_2=\sqrt{(3+6)^2+(-1+5)^2}[/tex]

    [tex]=\sqrt{81+16}[/tex]

    [tex]=\sqrt{97}[/tex]

    [tex]=9.85[/tex]

Distance between Algebra Springs (-6, -5) and Mathtown (-2, 5)

[tex]d_3=\sqrt{(6-2)^2+(5+5)^2}[/tex]

    [tex]=\sqrt{16+100}[/tex]

    [tex]=\sqrt{116}[/tex]

    [tex]=10.77[/tex]

Now total distance traveled by Kim = [tex]d_1+d_2+d_3[/tex]

                                                           = 7.81 + 9.85 + 10.77

                                                           = 28.43

Therefore, Option (3) will be the answer.

What is the equation of a line that is parallel to the y-axis and goes through the point (6,-1) Plsss help

Answers

I think it’s d but I’m not that sure

Tony and Ralph both work for a construction company. Tony gets paid $30 plus 8 per hour (h). How much will the company have to pay if they both work 5 hours that day

Answers

Answer:

ur quedo is kind of confusing

I need Urgent Help!! Can you please show me how you solve this step by step? 4-7x>-5(4+x)

Answers

Answer:

The answer of this inequality is: x < 12

Step-by-step explanation:

1) First, place out what is given:

[tex]4 - 7x>-5(4+x)[/tex]

2) Distribute -5 to (4 + x)

[tex]4 - 7x > -20-5x[/tex]

3) We want to get x by itself, so we need to move each term to their own side(s):

4 - 7x > - 20 - 5x

+20 + 7x > +20 +7x

---------------------------

24 > 2x

5) Divide both sides by 2

[tex]\frac{24}{2} > \frac{2x}{2}[/tex]

6) Now that you have x alone, your answer is:

[tex]x < 12[/tex]

(I changed the position of x which is why the sign turned around)

Games at the carnival cost $4 each. The prizes awarded to winners cost $175.50. How many games must be played to make at least $60? Write, solve and graph the inequality.

Answers

Answer:

15

Step-by-step explanation:

slope intercept of (1,1) and (0,7)

Answers

Answer:

[tex]\boxed {m = -6}[/tex]

Step-by-step explanation:

Use the Slope Formula to help you determine the slope of the following two points:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

(Where [tex](x_{1}, y_{1})[/tex] is the first point and [tex](x_{2}, y_{2})[/tex] is the second point)

-Apply both points onto that formula:

[tex](x_{1}, y_{1}) = (1, 1)[/tex]

[tex](x_{2}, y_{2}) = (0, 7)[/tex]

[tex]m = \frac{7 - 1}{0 - 1}[/tex]

-Solve:

[tex]m = \frac{7 - 1}{0 - 1}[/tex]

[tex]m = \frac{6}{-1}[/tex]

[tex]\boxed {m = -6}[/tex]

please help ! asapppppppp

Answers

Answer:

4/243, 4/729

Step-by-step explanation:

 The pattern shows that it is multiplied by 1/3

Write an equation for the parabola that passes through (-2, 7) , (1, 10) , and (2, 27) .

Answers

Answer:y=4x^2+5x+1

Step-by-step explanation:

Just did the quiz on big ideas math

The equation of the parabola which passes through the points  (-2, 7) , (1, 10) , and (2, 27) is  y = (25/6)x² -(17/6)b + (1/3)c.

What is a parabola?

A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

We know equation of a parabola is y = ax² + bx + c.

Given are three points  (-2, 7) , (1, 10) , and (2, 27).

If these points lie on the parabola it must verify that [tex]y_o = ax^2_o + bx_o + c.[/tex]

Therefore,

7 = a(-2)² + b(-2) + c = 0

7 = 4a - 2b + c ...(i)

10 = a(1)² + b(1) + c = 0

10 = a + b + c ...(ii)

27 = a(2)² + b(2) + c

27 = 4a + 2b + c...(iii)

Now adding eqn(i) and eqn(ii) we get 8a + 2c = 34...(iv)

Now multiplying eq(ii) by 2 and adding it to eq(i) we get 6a + 3c = 27...(v).

Now multiplying eqn(iv) by 3 and (v) by 2 and subtracting them we get a = 25/6.

Putting the value of an in eqn(iv) we get c = 1/3.

Similarly substituting the value of a and c in eqn(ii) we get b = -17/6.

∴ The equation of the parabola is y = (25/6)x² -(17/6)b + (1/3)c.

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What is 941 divided by 24

Answers

39.20 or 39.21 if you round
Your answer will be 43 remainder 11

A grocery store owner is planning a display by stacking cans of soup in a pyramid. The top row of the stack will have 1 can, the row underneath it will have 3 cans, the row underneath it will have 5 cans, and so on. If the owner wants the display to have a total of 12 rows, then how many cans will he need? Show your work. Explain how you know your answer is correct.

Answers

Answer:

144 cans

Step-by-step explanation:

Number of cans in the top row = 1

Number of cans in the second row = 3

Number of cans in the third row = 5

Here, the sequence obtained is [tex]1,3,5,...[/tex]

This forms an arithmetic progression with common difference as [tex]3-1=5-3=2[/tex]

Let d denotes the common difference and n denotes number of terms.

[tex]S_n=\frac{n}{2}[2a+(n-1)d][/tex]

Here, [tex]S_n[/tex] denotes sum of n terms.

Put [tex]a=1,d=2,n=12[/tex]

[tex]S_{12}=\frac{12}{2}[2(1)+(12-1)2]\\=6[2+(11)2]\\=6(2+22)\\=6(24)\\=144[/tex]


Find the least number which must be added to 1272 to make it a perfect
square. Also find its square root.​

Answers

Step-by-step explanation:

Adding 24 to 1272?

becomes 1296

36^2 = 1296

its square root's 36.

hope its correct^^

5.6+ 2.2x> 65.6- 1.8x show you work

Answers

Answer:

No

Step-by-step explanation:

cuz i dont feel like it thx for pts

The solution to the inequality 5.6 + 2.2x > 65.6 - 1.8x is x > 15.

What is the solution to the inequality?

Given the inequality in the question:

5.6 + 2.2x > 65.6 - 1.8x

To solve the inequality 5.6 + 2.2x > 65.6 - 1.8, first, collect and combine the like terms on both sides of the inequality:

5.6 + 2.2x > 65.6 - 1.8x

Add 1.8x to both sides:

5.6 + 2.2x + 1.8x > 65.6 - 1.8x + 1.8x

5.6 + 2.2x + 1.8x > 65.6

5.6 + 4x > 65.6

Subtract 5.6 from both sides of the inequality:

5.6 - 5.6 + 4x > 65.6 - 5.6

4x > 60

Divide both sides by 4 to isolate the variable x:

x > 60/4

x > 15

Therefore, x is greater than 15.

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Find the distance between
4 + 3i
and
6 – 2i

Answers

Answer:

The distance is 5i

Step-by-step explanation:

Subtract the six and the four then find the distance between the numbers paired with the variables.

A map scale reads: 2 inches = 25 miles. Which distance does 6 inches represent? 200 miles 75 miles 150 miles 100 miles Bene​

Answers

Answer:

75 miles

Step-by-step explanation:

2x3=6

so you multiply 25x3 which will give you 75

Select True or False for each statement about equilateral triangles.

A. An equilateral triangle has 3 equal angle measures.
A True B False
B. An equilateral triangle has 3 equal side measures.
A True B False
C. An equilateral triangle has 3 lines of symmetry.
A True B False

Answers

Answer:

A. true

B True

C True

hope this helps

What is the midpoint of -5.8 and -3.5 on a number line??!

Answers

Answer:

-4.65

Step-by-step explanation:

5.8-3.5=2.3

2.3 divided by 2=1.15

3.5+1.15=4.65

Answer: -4.65

Which list correctly orders A, B, and C from least to greatest when A= -8, B = 1-8), and C = 111?
A, B, C
C,AB
B, A, C
CBA

Answers

Answer:

A, B, C

Hope this helps

It took a pet store 7 weeks to sell 56 cats. What is the rate sold per week?

Answers

Answer:

About 8 cats were sold a week, so the rate sold per week: 8 ^‿^

Describe the process you used to find the equation of a line through two
points. Have you learned any tricks or shortcuts when doing this? Explain
if you have.

Answers

Answer:

Explanation at the bottom

Step-by-step explanation:

To find the slope with the 2 points use this ---> [tex]\frac{y2 - y1}{x2 - x1}[/tex] Ex: Points (9, 3) (6, 12) --> write it this way [tex]\frac{12 - 3}{6 - 9}[/tex] = [tex]\frac{9}{-3}[/tex] = -3 so -3 would be the slope of that line.

Then to find the y- intercept use the slope and the numbers from one of the points like this ---->   y = mx + b we are looking for b.  

(plugging in the first point)  (using the point (9,3))

3 = -3(9) + b

3 = -27 + b (add 27 on both sides)

30 = b (that's your y- intercept)

(Full equation is)  

y = -3x + 30

If you need further explanation just comment!!

Can you please tell me the answer

Answers

Answer:D 45

Step-by-step explanation:I haven't done this in a long time but from my knowledge it is 45 because the triangle has to add up to 180 and you do 45+45 which will get you 90 leaving you with 2x and x would 45 as well and you would do 2 x 45= 90 and that is how you solve 2x.

But the answer to the question is 45 or D

Cookies are sold in the lunchroom for $1.50. Ana wants to buy cookies for a
group of her friends. If she has $20, which inequality can be solved to show the

Answers

The inequality that can be used is 1.5c<_ 20 , or 1.5 times a number is less than or equal to 20.

Haley got a 93% on her first math test and an 86% on her second test. What is her percent decrease from Test 1 to Test 2 to the nearest tenth?
Enter the correct answer in the box.

Answers

Answer:

7.5?

Step-by-step explanation:

Guessing!!! hope it's correct,

Because

Percent Decrease = Percentage Decrease=Starting Value−Final Value|Starting Value|×100

If Haley got a 93% on her first math test and an 86% on her second test. Her percent decrease from Test 1 to Test 2 to the nearest tenth will be 7.5%

Using this formula

Percentage Decrease=Starting percentage−Final percentage÷ Starting percentage×100

Where:

Starting percentage=93%

Final percentage=86%

Let plug in the formula

Percentage Decrease=93%-86%÷93%×100

Percentage Decrease=7%÷86%×100

Percentage Decrease=7.5%

Inconclusion if Haley got a 93% on her first math test and an 86% on her second test. Her percent decrease from Test 1 to Test 2 to the nearest tenth will be 7.5%

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Help me please ..........

Answers

Answer:

The answer is that angle T is 41 degrees.

Step-by-step explanation:

Line USP is a 180 angle. Knowing this, you can subtract 104 from 180.

You get 76. Then, you add 76 to 63.

The sum is 139. Then, to find the answer, you subtract 139 from 180. You know to use 180 because EVERY TRIANGLE'S ANGLES always add up to 180.

180 minus 139 is 41. This is your answer: Angle T is 41 degrees in measure.

The answer for angle T is 41 degrees


Find an equivalent system of equations for the following system:

x + 2y = 2
−4x + 4y = −8

a) x + 2y = 2
−4x − 2y = 10

b) x + 2y = 2
5x + 4y = 8

c) x + 2y = 2
5x − 2y = 10

d) x + 2y = 2
5x − 2y = −8

Answers

Answer:

Option C

Step-by-step explanation:

we have

x+2y=2 ------> equation A

-4x+4y=-8 ------> equation B

Multiply equation B by -1 both sides

-1(-4x+4y)=-8*(-1)

4x-4y=8 -----> equation C

Adds equation A and equation C

x+2y=2

4x-4y=8

--------------

5x-2y=10 ----> equation D

An equivalent system of equations is equation A and equation D

so

x+2y=2 ------> equation A

5x-2y=10 ----> equation D

Answer:

C

Step-by-step explanation:

i took the test

Kyle Charges $75 plus $65 per hour for tractor work. How many hours does he work to earn at least $335?

Answers

Answer:

Hi there!

Your answer is

Kyle must work at LEAST 4 hours to earn 335$

Step-by-step explanation:

kyles charge:

75+65H>=335

-75

65H>=260

/65

H>=4

Plug back in!

75+65(4) >= 335?

335>=335 YES!

Hope this helps

a sequence of transformations maps angleABC to A'B'C'. the sequence of transformations that maps ABC to A'B'C' is a reflection across the ____ followed by a transformation ____

first drop down
y-axis
x-axis
line y=x
line y=-x

second drop down
4 units to the right and 10 units up
8 units to the right and 4 units up
10 units to the right and 2 units up
10 units to the right and 4 units up ​

Answers

Reflection across y=x

And a transformation of 4 units to the right and 10 units up

In solving an equation, if you eliminate the variable and obtain a true statement such as 6 = 6, the equation is a/an
equation.

Answers

Answer:

butt

Step-by-step explanation:

hahahaha hahahaha

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