A research center is interested in investigating the height and age of children who are between 5 to 9 years old. In order to do this, a sample of 15 children is selected and the data are given below. Age (in years) Height (inches) 7 47.3 8 48.8 5 41.3 8 50.4 8 51 7 47.1 7 46.9 7 48 9 51.2 8 51.2 5 40.3 8 48.9 6 45.2 5 41.9 8 49.6 How much of the variation in the sample values of height does the model estimate

Answers

Answer 1

Answer:

0.940

Step-by-step explanation:

Given the data:

Age in years(X) _____Height(Y)

7 _________ 47.3

8 _________48.8

5 __________41.3

8 _________ 50.4

8 ___________51

7 __________47.1

7 __________46.9

7 ___________48

9 __________51.2

8 __________51.2

5 __________40.3

8 __________48.9

6 __________45.2

5 __________41.9

8 __________49.6

The proportion of Variation explained by the line of best fit in a regression model can be determined by calculating the Coefficient of determination (R²) of the model.

Using the online R² calculator, the variation in the sample values of height which is estimated by the model is 0.9696² = 0.94012416.

Hence about 0.94 or 94% variation in sample values of height is estimated by the model while (1 - 0.94 = 0.06 or 6%) is explained by other factors.


Related Questions

A crew of highway workers paved1/4 mile in1//6 a hour. If they work at the same rate, how much will they pave in one hour?​

Answers

Answer:

1 1/2 mile

Step-by-step explanation:

In 1 hour they pave 6 times more what they paved in 1/6 of an hour.

6 * 1/4 mile = 6/4 mile = 3/2 mile = 1 1/2 mile

A school has 726 students. There are 340 boys. About what percent of the students are girls?

Answers

Answer: 348 girls so somewhere around 80 percent

Step-by-step explanation:

Suppose two trains leave a station at the same​ time, traveling in opposite directions. Train B travels 10 mph faster than Train A. In 3.5 ​hours, the trains are 336 miles apart. Find the speed of each train.

Answers

Answer:

B

Step-by-step explanation:

Train B is faster

ASTRONOMY-
what would happen if the moon didn't revolve around the earth although its rotation on its axis remained the same.

WIll mark brainliest pls help

Answers

Answer:

I believe this would have a affect on the ocean as the moon controls the waves and i believe it would also affect the wind as well

Step-by-step explanation:

Write −1.05 as a mixed number in simplest form.

Answers

Answer:

-1 1/20.

Step-by-step explanation:

0.05 = 5/100

= 1/20

So -1.05 = -1 1/20.

Hey, I just need to know if I was correct with my test.

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Statistics,

If we see here, The Andrew is working for 20 hours and his pay for 20hours is, $175

so for 1 hour, he gets = 175÷20 => $8.75 per hour

, so now after 1 year, his pay increases by $1.05 per hour, then we have to add this new amount of pay in his old amount, so that we can show that his pay is actually INCREASED, so the new pay is given as,

$8.75 + $1.05 (per hour)= $9.80

so now his total pay is given as,

E= 9.80h

Option D.) is correct

Suppose the manager of your local McDonalds tracks the

monthly sales of their new McBurger, Mini McBurger, and

Choco-Latte Shake. The data is listed below.

For January through December, the sales are as follows.

McBurger: 46, 63, 58, 77, 81, 102, 183, 197, 125, 111, 83, 218.

Mini McBurger: 23, 41, 35, 44, 62, 88, 95, 99, 108, 111, 98, 63.

Choco-Latte Shake: 88, 46, 39, 52, 67, 99, 189, 238, 188, 97,

51, 12

Create a matrix to display the data.

Answers

Answer:

Step-by-step explanation:

The question says "Create a matrix to display the data".

The are 3 products:

- McBurger   - Mini McBurger   - ChocoLatte Shake

The figures represent monthly sales for each product, in a given year. This means 12 figures for each product - represent the 12 months of the year.

These figures will appear on the matrix, with the horizontal arrangement representing each month of the year and the vertical arrangement representing each product's sales.

In that light, you'll have a 12 by 3 matrix.

[tex]\left[\begin{array}{ccc}46&23&88\\63&41&46\\58&35&39\\77&44&52\\81&62&67\\102&88&99\\183&95&189\\197&99&238\\125&108&188\\111&111&97\\83&98&51\\218&63&12\end{array}\right] 12 by 3 matrix[/tex]The first row represents sales in January, the second row represents sales in February, the third row represents sales in March, the fourth row represents sales in April, etcetera.

The first column represents sale of McBurger, the second column represents sale of Mini McBurger, the third column represents sale of Choco-Latte Shake.

I need help with question 11 pleaseeeeeee

Answers

The base of the prism is a 3:4:5 right triangle.
One of the legs is its base and the other is its height. (The longest side is the hypotenuse!)

The area of the triangular base is bh/2 = (9)(12) / 2. There are two of these.
There are also three rectangular sides on the prism.
Their dimensions are 9 by 20, 12 by 20, and 15 by 20.

You can do the arithmetic from here.
And the answer is 828cm ^2

Answer:

828 cubic units

Step-by-step explanation:

2+2=4 because 2 fingers and then another 2 fingers

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes? That's right. ummmm lol

I need help please and thank you in advance

Answers

im pretty sure it’s g(x) = x^2 - 3

What is |-24| + |13| =?

Answers

Answer:

37

Step-by-step explanation:

just add the two numbers like they are not negative.


Need help like ASAP

Answers

It is X=2 you have to see where it touched line

-6(x+4) what this answer simplified.

Answers

Answer:

-6x-24

Step-by-step explanation:

all you have to do is multiply, so -6*x and -6*4 and since -24 is a negative the equation is going to be subtracting

Answer:

Step-by-step explanation:

please help I will give a lot of points


btw its 2 questions​

Answers

ummmmmmm.. wait ima come back to it let me work it it

Answer:

please wait two mins I will give you the answer, but which question 2 or 3

The scatterplot and trend line show a positive correlation between advertising costs and sales.
Which two points can be used to find the slope of the trend line?

Point 1: ?
Point 2: ?

Answers

Answer:

Point 1: (6.4, 117)

Point 2: (6.6, 120)

Step-by-step explanation:

Answer:

Point 1: (6.4, 117)

Point 2: (6.6, 120)

Step-by-step explanation:

I need help with this one

Answers

Answer:

The first three

Step-by-step explanation:

write an equation in standard form for the line that is parellel to the graph of -8x=5-4y and has a y-intercept -0.5

A x+.05=0.25

B 10x-5y=2

C 4x-2y=1

D 2x-y=1

Answers

9514 1404 393

Answer:

  C  4x -2y = 1

Step-by-step explanation:

The y-intercept of the offered choices can be found by dividing the constant by the y-coefficient.

  A: not in standard form (coefficients are not integers)

  B: 2/-5 = -2/5 . . . not -1/2

  C: 1/-2 = -1/2 . . . a good candidate

  D: 1/-1 = -1 . . . not -1/2

At Nancy's Newsstand, 3 magazines cost $18.00. How many magazines could you buy with $72.00?

Answers

Answer:

12

Step-by-step explanation:

if 3 magazines = $18

$72/$18 = 4 sets of 3

4 x 3 = 12 magazines

Barry used a number line to simplify a numerical expression on a math test.
Which number did Barry add to get a result of 4 on the numerical expression he simplified?
A: 4
B:-14
C:-6
D:14

Answers

Answer:

i think its 14 if the number starts all the way at -10 youd have to add 14 to get to four

Help I’m stuck and confused

Answers

Answer:

-8

Step-by-step explanation:

A triangle is always 180 degrees

(btw I'm not sure if this is addition or multiplication so sorry if i'm wrong!)

65 + 40 = 105

180 - 105 = 75

75 - 83 = -8

Answer:

the angle itself is 75 degrees so x=-8

Step-by-step explanation:

A square is removed from the right hand corner

Answers

Answer:

C im pretty sure

Step-by-step explanation:

Because the square taken out has a 4x4 area which is 16 and the area of the whole square used to be 14x14 which is 196 and if u subtract 16 from that you get 180

Read 3 integer numbers from the user; these numbers represent the lengths of 3 straight lines. From the 3 lengths, determine whether a triangle can be formed with the corresponding lines. If it is possible to form a triangle, determine whether the triangle is a right triangle or not. The rules to be used are: 1. To form a triangle where all lines’ ends meet (form vertices), the sum of the lengths of two sides must be greater than the length of the third side. This short video illustrates this concept: How to determine if the three sides make up a triangle. 2. Per the Pythagorean theorem: in a straight triangle, the square of the length of the longest side (the hypotenuse) is equal to the sum of the squares of the lengths of the other two sides. 3. The user can enter the lengths of each line in any order, i.e.: you may not assume that the first length is the longest or the smallest or the middle value.

Answers

Answer:

Written in Python

print("Enter three sides of a triangle: ")

length = []

for i in range(0,3):

    inp = int(input(""))

    length.append(inp)    

length.sort()

if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:

    print("Triangle")

    if length[2]**2 == length[0]**2 + length[1] **2:

         print("Right Angled")

    else:

         print("Not Right Angled")

else:

    print("Not Triangle")

Step-by-step explanation:

This line prompts user for sides of triangle

print("Enter three sides of a triangle: ")

This line declares an empty list

length = []

The following iteration gets user input

for i in range(0,3):

    inp = int(input(""))

    length.append(inp)    

This line sorts user input

length.sort()

The following if condition checks if user input is triangle

if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:

The following is executed is the if condition is true

    print("Triangle")

The following if condition checks if user input forms a right angled triangle

    if length[2]**2 == length[0]**2 + length[1] **2:

         print("Right Angled")

    else:

         print("Not Right Angled")

This is executed if user input is not a triangle

else:

    print("Not Triangle")

A candle is in the shape of a square pyramid. Its height is 5 cm and its slant height is 8 cm.



To the nearest tenth, what is the base length of the candle?
A. 5.9 cm
B. 9.6 cm
C. 12.5 cm
D. 19.2 cm

Answers

Answer:

it is 5.9 A

Step-by-step explanation:

Answer:

The answer is C) 12.5

Step-by-step explanation:

I took the test :)

To determine whether price has an impact on sales of specialty coffees, the managers kept track of how many pounds of each variety of coffee were sold last month.

PRICE PER POUND POUNDS SOLD
Mean $8.75 4.50 lb
Standard Deviation $3.63 18.33 lb
Correlation r -.927

a. The response variable is__________ and the explanatory variable is_________
b. Based on the statistics shown above, the slope of the estimated regression line that relates the response variable to the predictor variable is:______

i. 0.846.
ii. -4.681
ii. -0.858.
iv. 45.459
v. -8.999.

Answers

Answer:

A. Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND

B. ii. -4.681

Step-by-step explanation:

A. Based on the statistics that was shown in the given information above the:

Response Variable is POUND SOLD Explanatory variable is PRICE PER POUND

B. Calculation to determine slope of the estimated regression line that relates the response variable to the predictor variable

Using this formula

Slope =r*Sy/Sx

Let plug in the formula

Slope=-0.927*18.33/3.63

Slope=-16.99191/3.63

Slope=-4.681

Therefore , the slope of the estimated regression line that relates the response variable to the predictor variable is: -4.681

In ΔFGH, the measure of ∠H=90°, the measure of ∠F=18°, and GH = 9.4 feet. Find the length of HF to the nearest tenth of a foot.

Answers

Answer:

28.9

Step-by-step explanation:

tan (18) = 9.4/x times x

x times tan(18) = 9.4 / tan(18)

            tan(18)

        crosses out.

On a calculator do 9.4/

                             tan(18).

x = 28.9

         

Please help me with this!
I will give you a thanks!

Answers

-2 + 6
.................
-2+6 . Count the spaces . That’s what I used to do

My allowance has increased $13 a week and is now $42. What was my old allowance?

Answers

your allowance was $29

Answer:

29

Step-by-step explanation:

42-13=29

i will KISS U ON THE MOUTH IF U HURRY PLS HELP find the derivative dy/dx for y=(x^2+4x) / (x^3-5)

Answers

Use the quotient rule:

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^3-5)\frac{\mathrm d(x^2+4x)}{\mathrm dx}-(x^2+4x)\frac{\mathrm d(x^3-5)}{\mathrm dx}}{(x^3-5)^2}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(2x+4)(x^3-5)-3x^2(x^2-4x)}{(x^3-5)^2}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{x^4 - 16 x^3 + 10 x + 20}{(x^3-5)^2}[/tex]

4x+2 = 2(2x+1) what is the answer?

Answers

Answer: 0=0

Step-by-step explanation: Simplify

someone please help me from 6 to 9 please

Answers

Answer:

For 6.) y=-2x+1; 9.) y=-7/3x-5

Step-by-step explanation:

Slope intercept form is y=mx+b. m would be the slope (-2 and -7/3) and y is the y-int (1 and -5).

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