)The scatter plot shows the relationship between the number of hours spent practicing piano per week and the number of pieces of music the student can play:


A scatter plot is shown. The x-axis is labeled hours spent practicing and the y-axis is labeled number of pieces student can play. Data points are located at 1 and 1, 1 and 5, 2 and 10, 2 and 15, 3 and 15, 3 and 25, 4 and 40, 5 and 40, 5 and 50, 6 and 55, 6 and 70, 8 and 90, 3 and 70. A circle labeled T includes all points except for 3 and 70. Point 3 and 70 is circled and labeled as R.


Part A: What is the group of points labeled T called? What is the point labeled R called? Give a possible reason for the presence of point R. (3 points)

Part B: Describe the association between the number of hours practiced each week and the number of pieces a piano student can play. (2 points)

)The Scatter Plot Shows The Relationship Between The Number Of Hours Spent Practicing Piano Per Week

Answers

Answer 1

Part A

The group of points labeled "T" can be thought of as the main cluster of points. Your teacher might have given another name for it, but this is how I think about it. All of these points are very close to a straight line.

The point R is known as an outlier. It is fairly far from the main cluster, in that it's not near the regression line. You can think of the points in the main cluster as houses along/near a straight road. The outlier house is unfortunately far from that road.

One possible reason for point R is that the student is very talented and can pick up music really easy, thereby not needing that much practice. Another reason is that the student already had tons of prior practice and experience, so they don't need as much practice currently.

============================================================

Part B

We have a strong positive linear association with the main cluster of data points. As mentioned earlier, a straight line is very close to these points. The closer they are to the same straight line, the stronger the correlation.

We have positive correlation because as x goes up, so does y. The variables increase together. Negative correlation happens when x and y go in opposite directions (one goes up, the other goes down).

The outlier point R pulls on the regression line to make it slightly not near the main cluster. The line tries its best to be near all of the points, and that includes the outlier. In some situations, the outlier is ignored and regression is done on the other set of points.

As you can probably guess, the outlier dilutes the strength of the correlation. The further the outlier, the weaker the correlation gets.

Answer 2

Answer:

Here you go!

Step-by-step explanation:

A) The group of points labeled T called cluster. The point labeled R called outlier. Student because of being proficient on the piano before practice was measured.

B) A positive correlation is a relationship between two variables that tend to move in the same direction


Related Questions

can someone please help me solve these math problems they are about triangle proofs

Answers

Answer:

Besides the givens:

12.

AC = EC, BC = DC; Definition of Midpoint

<ACB = <ECD; Vertical Angles Theorem

Triangle ABC = Triangle EDC; SAS Congruence Postulate

13.

AD = CD; Definition of Median

BD = BD; Reflexive Property

Triangle ABD = Triangle CBD; SSS Postulate

Step-by-step explanation:

None necessary.

Make g the subject of the formula [tex]w=7-\sqrt{g}[/tex]

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{g}[/tex] = 7-w

([tex]\sqrt{g}[/tex] )^2 = (7-w)^2

g = (7-w)^2

Find the volume of a cone with the base of 10 and height of 6

Answers

Answer:

Answer = 157

Step-by-step explanation:

The formula to finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the base is 10. This means that the radius is 5 because it is 1/2 of the base. Now we plug in our numbers into the equation and get 157!

Hope that helps! :)

Find the slope from the graph.

Answers

Answer:

The answer is -3/2.

Pleaseee help mee!!!

Answers

Answer:

down shift 90

Step-by-step explanation:

-90 will shift the graph down 90 units

Down shift 90 Jdjxnxjdnidenjd

The value of a painting rises from £120,000 to £192,000.
Work out the percentage increase in the value of the painting.
Show your working.

Answers

Original value =£120000
Increased value=192000-120000=72000
%increased = (72000/120000)*100%=60%
Answer is 60% increase

There are six people on a bus. This is in total. At the first stop, eight more people get on. At the second, four get on and two hop off. At the third stop, the bus becomes practically full as 15 passengers get on. Four get off. At the last stop, 8 people get off. How many people are on the bus?

Just a fun problem for you :D
P.S. Answer it correctly ;)

Answers

Answer:

This was a nice way to spend my time :) how'd I do?

Step-by-step explanation:

Total: 6

1. +8

After stop 1, total is 14 people

2. +4, -2

After stop 2, total is 16 people

3. +15, -4

After stop 3, the total is 27 people

4. -8

Total # of people on the bus: 19

(A little voice in the back of my mind is telling me that I overthought this entire problem, and that the answer is just 6)

A culture of bacteria contains 1,500 bacteria initially and doubles every 30 minutes.
1. Write a function that models the number of bacteria after t time.
2. Find the number of bacteria after 2 hours.
3. After how many minutes will there be 12,000 bacteria

Answers

if the bacterial is doubling, that means the growth rate is 100%, or 100% plus whatever it was before, so

[tex]\textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=minutes\\ c=period\dotfill &30 \end{cases} \\\\\\ A=1500(1 + 1)^{\frac{t}{30}}\implies A=1500(2)^{\frac{t}{30}} \\\\\\ \stackrel{\textit{after two hours, or 120 minutes, t = 120}~\hfill }{A=1500(2)^{\frac{120}{30}}\implies A=1500(2)^4\implies A=24000}[/tex]

[tex]~\dotfill\\\\ \stackrel{\textit{current amount being 12000}}{12000=1500(2)^{\frac{t}{30}}}\implies \cfrac{12000}{1500}=(2)^{\frac{t}{30}}\implies 8=(2)^{\frac{t}{30}}\implies 8=\sqrt[30]{2^t} \\\\\\ 8^{30}=2^t\implies (2^3)^{30}=2^t\implies 2^{90}=2^t\implies 90=t[/tex]

Find the median and mean of the data set below:
3,40,15,28
3,40,15,28

Answers

Answer:

21.5

Step-by-step explanation:

Median: List all numbers in order, then find the two in the middle and average them so 3 15 28 40 and then do 15+28=43 then divide by 2 = 21.5

Mean: Average all of them so 3+15+28+40=86 divided by 4 = 21.5

The radius of a circle is 2 inches. What is the circle's circumference?
r=2 in
Use 3.14 for pie

Answers

Answer:

6.28

Step-by-step explanation:

2×3.14 because this is just simple multiple

Nandlal bought 20 dozen notebooks at Rs.156 per dozen.He sold 8 dozens of them at 10% gain and the remaining 12 dozens at 20% gain.What is his gain percent on the whole transaction?

Answers

Answer:

[tex]8(156 \times 1.1) + 12(156 \times 1.2) [/tex]

Please help with this maze

Answers

Answer:

go down then go right

Step-by-step explanation:

Will mark brainlist to whoever answers first

Answers

Answer:

the answer is (6,5) pls mark brainest

Answer:

The answer is D.) (6,5)

Step-by-step explanation:

When the first point goes right, you add it, and when the second point goes down, you subtract it

A rectangular garden has an area of 144 ft². If the base is 8 ft long, what is the height?
18 ft
36 ft
64 ft
72 ft

Answers

Answer:

The Answer is 18

Hope this helps! :)

Step-by-step explanation:

Name the property used in the equation 1=6n. Then find the value of n.

Answers

Answer:

1=6

Step-by-step explanation:

Divide both sides of the equation by the same term

1=6

What is the point-slope form of a line with slope -5 that contains the point
a
(2,-1)?

Answers

The point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).

What is point slope form?

The point slope  form of a line is the expression of line which has a specified slope and passes through a point.

The point slope form is givne as,

(y-y₁)=m(x-x₁)

Here, m is the slope of the line, x₁ is the x coordinate of the point by which line passes and y₁ is the y coordinate of the same point.

The slope of a line is -5. This line contains the point A (2,-1). Thus, the point slope form is,

(y-y₁)=m(x-x₁)

(y-(-1))=-5(x-2)

(y+1)=-5(x-2)

Thus, the point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).

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Which triangle congurence theorem proves that ABD ≈ CBD?

AAS
SAS
HL
CPCTC​

Answers

Answer:

AAS

Step-by-step explanation:

the ansewer

NEED HELP ASAP

Question A.) k=5
Question B.) ????

Answers

Answer:

b) [tex]f^{-1}(x) = \frac{4x+5}{3}[/tex]

Step-by-step explanation:

b) To find the inverse function, switch the [tex]x[/tex] and [tex]y[/tex] variables and solve for [tex]y[/tex]:

[tex]f(x) = \frac{3x-5}{4}\\y = \frac{3x-5}{4}\\x = \frac{3y-5}{4}\\4x = 3y-5\\4x+5 = 3y\\\frac{4x+5}{3} = y\\f^{-1}(x) = \frac{4x+5}{3}[/tex]

Verify Answer:

[tex]f(1) = \frac{3(1)-5}{4} = -0.5\\f^{-1}(-0.5) = \frac{4(-0.5)+5}{3} = 1[/tex]

Solve the equation for x. Do not include "x =" in your answer.
-3+√3x-11=5
Help pls

Answers

The value of x in the equation is 25

How to solve for x?

The equation is given as;

[tex]-3 + \sqrt{3x - 11} = 5[/tex]

Add 3 to both sides

[tex]\sqrt{3x - 11} = 8[/tex]

Take the square of both sides

3x- 11 = 64

Add 11 to both sides

3x = 75

Divide both sides by 3

x = 25

Hence, the value of x in the equation is 25

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can someone please help me to work this out

Answers

Answer:

13.64 cm²

Step-by-step explanation:

Area of Trapezoid :

1/2 x (a + b) x ha and b = parallel side lengthsh = height

Solving :

1/2 x (5.2 + 3.6) x  3.11/2 x 8.8 x 3.14.4 x 3.113.64 cm²

Answer:

13.64 square centimeters

Step-by-step explanation:

Hey there!

The formula to finding the area of a trapezoid is:

1/2 (p + q) h

Where h is the height, p is the shorter base and q is the longer base

In this case

p - 3.6

q - 5.2

h - 3.1

1/2 (3.6 + 5.2) 3.1

1/2 (8.8) 3.1

(4.4) 3.1 --> 4.4 x 3.1

13.64

So, the area of this trapezoid is 13.64 square centimeters

Does anybody know this?Find the surface area of the triangular prism the ares of the base is 7.75yd

Answers

Answer:

10.308

Sure hope this helps you

I need help me with math homework please .?

Answers

[tex]x = 5 \\ y = 4 \\ m = \frac{1}{5} [/tex]

y= mx+b

[tex]4 = ( \frac{1}{5} \times( 5) )+ b \\ 4 = 1 + b \\ 4 - 1 = b \\ 3 = b \\ y = \frac{1}{5} x + 3[/tex]

Answer:

y = 1/5x + 3

Step-by-step explanation:

How do I find the domain range and function of the graph

Answers

Answer:

  D = {-3, -2, -1, 1, 4}

  R = {-5, -1, 0, 2}

Step-by-step explanation:

You have correctly described the process of finding the domain and range by the way you filled in the blanks at the top of the sheet.

__

The domain is the set of x-values of the points on the graph:

  D = {-3, -2, -1, 1, 4}

The range is the set of (unique) y-values of the points on the graph:

  R = {-5, -1, 0, 2}

please help me solve this

Answers

Answer:

i actually don't know

Step-by-step explanation:

One winter day, the temperature at noon was -9f The temperature then rose by ​1/2 degree each hour for 3 hours before dropping by 2 1/4 degrees each hour for 2 hours. What was the temperature, in degrees Fahrenheit, at 5 PM?

Answers

Answer:

The temperature at 5 PM was - 12°F

Step-by-step explanation:

One winter day, the temperature at noon was -9°F.

The temperature then rose by ​1/2 degree each hour for 3 hours:

1/2 × 3 = 3/2 = 1 1/2

The temperature then dropped by 2 1/4 degrees each hour for 2 hours:

- 2 1/4 × 2 = - 4 2/4 = - 4 1/2

Now add up all three values to find the final value:

- 9 + 1 1/2 - 4 1/2 = - 9 + 1 - 4 = - 12

PLEASE HELP 50 POINTS
Which of the following is a solution of y + x < -5?

(-2, -3)
(-4, -2)
(-3, -2)
(-1, -3)

Answers

Answer: The 4th option= -1, -3

Step-by-step explanation: Here, if y = -1 and x = -3. The equation would be: (-1) + (-3)= -1 -3 = -4

Now we know that -4 is greater than -5.

Some may think that -4 is smaller than -5 nut remember that the numbers are in minus form, so if u put them in a number line, then -4 is greater than -5.

Thanks.

The graphs of f(x) and g(x) are shown below:

If f(x) = (x + 7)2, which of the following is g(x) based on the translation?

g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x − 9)2
g(x) = (x − 5)2

Answers

Answer:

A. g(x)=(x+9)^2

Step-by-step explanation:

if it’s plus inside the parentheses it’s goes left and if it’s - it’s right

Hope this helps! ;-)

Mr smith has 28 children if he wants 2 give 2 sweets to his class how many sweets

Answers

Answer:

56

Step-by-step explanation:

If each child gets 2 sweets then we have to multiply the number of children by 2.

[tex]28 \times 2 = 56[/tex]

Answer:

30 sweets.

Add 28 and 2.

What is the area of this figure

Answers

Answer:

105 units²

Step-by-step explanation:

Area of triangle = ½bh

b = 11 + 4

b = 15

A = 2(½15(7))

2 and ½ cancel

A = 15(7)

A = 105 units²

Find the perimeter of the triangle.
20 ft
21 ft

Answers

Answer:

29 feet

Step-by-step explanation:

20^2 + 21^2 = 841

841sqrt = 29 feet

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