A guidance counselor wants to determine if there is a relationship between a student’s number of absences, x, and their grade point average (GPA), y. He collects data for 15 randomly selected students and determines the value for r2 was 31%.
Which of the following gives the best interpretation of this value?
31% of the variation in the number of absences is accounted for by the linear relationship with GPA.
69% of the variation in the number of absences is accounted for by the linear relationship with GPA.
31% of the variation in the GPA is accounted for by the linear relationship with number of absences.
56% of the variation in the GPA is accounted for by the linear relationship with number of absences.

Answers

Answer 1

Answer:

C: 31% of the variation in the GPA is accounted for by the linear relationship with number of absences.

Step-by-step explanation:

right on edge

Answer 2

The correct interpretation of the value of r² in this context is 31% of the variation in the GPA is accounted for by the linear relationship with the number of absences.

The interpretation of the value of r² in the context of the relationship between a student's number of absences (x) and their grade point average (GPA) (y).

First, what is r²? The coefficient of determination, denoted as r², is a statistical measure that represents the proportion of the variance (variation) in the dependent variable (GPA) .

That can be explained or predicted by the independent variable (number of absences) in a linear regression model.

Here, the value of r² is 31%. This means that 31% of the total variability in the GPA scores of the 15 randomly selected students can be explained by the linear relationship with the number of absences.

31% of the differences in GPAs among the students can be attributed to the differences in their number of absences.

The remaining percentage (100% - 31% = 69%) represents the unexplained or residual variation in the GPA scores.

This unexplained variation could be due to other factors not considered in the linear relationship, such as individual study habits, natural academic ability,

or other variables that were not part of the data analysis.

The interpretation is that 31% of the variation in the GPA scores can be accounted for by the linear relationship with the number of absences, while 69% of the variation remains unexplained by this relationship.

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Related Questions

PLEASE HELP !!

221-w=272

What is w??

Answers

Answer: W= -51

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

-51

Step-by-step explanation:

2 minuses equal plus

please help first will be brainliest

Answers

Answer:

Just multiply or divide the numbers they give you try both

Step-by-step explanation:

Please help me thankso

Answers

Answer:

68, 17, $17

Step-by-step explanation:

filling in the first blank using the chart. Money made for 4 sweatshirts is $68

68/4=17, this is the unit price, meaning the amount it would cost for one sweatshirt. Thats where we get the next blank's answer. 17/1 and since we found the unit price, we already answered the last question, $17 per sweatshirt.

There are 599 children at Troy's school. There are 206 children
at Nada's school. About how many more children go to Troy's
school than to Nada's school?
400 children
B
250 children
500 children
800 children
Hurrry pls

Answers

The answer is 400 children lol

Answer:

About 400 more children attend Troy’s school than Nada’s school.

write a rational number which has no reciprocal or multiplicative inverse.​

Answers

Answer:

0.

Step-by-step explanation:

0 is the only number that has no reciprocal or multiplicative inverse.

A reciprocal / multiplicative inverse of a number means a number that when multiplied by the original number will equate to 1.

However, no matter what you multiply with 0, it will never be 1.

Hence, the answer is 0.

Hope this helped!

please help me like i really don't understand this and i really need help​

Answers

Answer:

Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.

A'(-5, -2.5)B'(2.5, 5)C'(5, -10)

Step-by-step explanation:

Given the vertices of ΔABC

A(-2, -1)B(1, 2)C(2, -4)

Given that ΔA'B'C' is a dilation of ΔABC with a scale factor of 2.5 and the center of dilation (0, 0).

We know that when the scale factor > 1, then the image is enlarged.

The formula to determine the dilation with a scale factor of 2.5.

P(x, y) → P'(2.5x, 2.5y)

Here, P' is the image of P, and the vertices of the image is dilated by a scale factor of 2.5.

In other words, the vertices of the image can be obtained by multiplying the vertices of the original triangle with 2.5.

Thus,

P(x, y) → P'(2.5x, 2.5y)

A(-2, -1) → P'(2.5(-2), 2.5(-1)) = A'(-5, -2.5)

B(1, 2) → B'(2.5(1), 2.5(2)) = B'(2.5, 5)

C(2, -4) → C'(2.5(2), 2.5(-4)) = C'(5, -10)

Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.

A'(-5, -2.5)B'(2.5, 5)C'(5, -10)

is 2.63 a rational number?
Thats it. Thats the question

Answers

i don’t think so ......... yeah i’m pretty sure it’s not

is 2.63 a rational number?

Thats it. Thats the question

no 2.63 is not

please help! one easy khan question <3

Answers

Answer:

It's the B

[tex] \sqrt{29} [/tex]

Step-by-step explanation:

[tex]d = \sqrt {(2 - 4)^2 + (2 - 7)^2}[/tex]

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

[tex]d = \sqrt {4 + 25}[/tex]

[tex]d = \sqrt 29[/tex]

Hope this helps, have a good day

the triangles have the following coordinates: A(2,4), B(2,10), C(10,10), F(14,13), G(14,16). Find the coordinates of H.

Answers

Answer: A

Step-by-step explanation: because I got the correct answer

g(x)=−x−2, find g(1)

Answers

Answer:

g(1) = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = -x - 2

g(1) is x = 1

Step 2: Evaluate

Substitute in x:                    g(1) = -1 - 2Subtract:                              g(1) = -3

Mr.Jamison will stain th deck

Answers

Answer:

yes???

Step-by-step explanation:

I don’t think so .....:(

The price of a smartphone increased from $25 to $40. Find the percent
increase

Answers

Answer:60% increase

Source:trust me bro

Answer:

= 60% increase

Step-by-step explanation:

1. What is the measure of angle 4?
2. What is the measure of angle 1?
3. What the measure of angle 3?
4. What is the measure of angle 6?
5. What is the relationship between angles 4 and 5?

Answers

Answer:

d

Step-by-step explanation:

is answer sd

What is the circumference?
16 yd

Answers

Answer:

16 yd

Step-by-step explanation:

I will assume 16 yards is the diameter, meaning 8 is the radius.

Circumference is 2πr, or the diameter itself. So, the circumference is 16.

I'm still not sure what measure 16 yd is, or what circumference of a shape you're looking for. Reply to my answer and I'll fix it.

It would be 6.283

Hopefully this will help you

Someone pls help me!!!I need help ASAP:/

Answers

Answer:

$40 per hour

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

Your x-axis represents how many hours they work. Since the question asks for a single hour then go up 1 unit on the graph which brings you to $40.

QUICKKK PLEASE HELP!!!! Q:43c +10d=?????

Answers

Answer:

53d

Step-by-step explanation:

The equation of the blue line is y=-x+5. Manipulate
the orange line by setting the sliders so its slope, m, is
-1 and its y-intercept, b, is-3.
Does the system appear to have a solution after the
changes?
Yes. The lines intersect at one point.
Yes. The lines intersect at many points.
No. The lines do not seem to intersect.

Answers

Answer:

No. The lines do not seem to intersect.

Step-by-step explanation:

When you move both of the sliders over, you will see they do not intersect. Also I got it right on edge. Hope this helps :)

Answer:

The equation of the blue line is y = –x + 5. Manipulate the orange line by setting the sliders so its slope, m, is –1 and its y-intercept, b, is –3.

Does the system appear to have a solution after the changes?

✔ No. The lines do not seem to intersect.

Sandy works at a clothing store.She makes $8 per hour plus 10% commission on her sales.She worked 79 hours over the last two weeks and had a total of 2,414 in sales before taxes.which of the following is closest to what she will earn?
$305
$241
$873
$632

Answers

873 for sure 2,414x10%=241 + 8x79=632 =873

Graph the following linear equations using the method of your choice.
55. Y= -2/3x+8

Answers

Answer:

How would we graph on the app?

Paint costs $19.95 per gallon. Nicole needs 1.25 gallons to complete a painting project

Answers

Answer:

$25.00

Step-by-step explanation:

Set up a proportion: [tex]\frac{19.95}{1} = \frac{x}{1.25}[/tex]  Cross multiply, then divide: 19.95 × 1.25 = 24.9375, 24.9375 ÷ 1 = $24.9375Round your answer: $24.9375 → $25.00

I hope this helps!

People use water to​ cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for cooking . If a family uses 68.8 gallons of water a day for cooking​, how many gallons do they use every​ day?

Answers

Ummmmmmm try using those things that help ppl with math

PLEASE HELP
Find the value of x. Write your answer in simplest radical form, if necessary.

Answers

x^2 = 25^2 - 22^2 <=>

x^2 = 625 - 484 <=>

x^2 = 141 <=>

x = 11.9

The value of 'x' or the length of the base of the triangle is [tex]\sqrt{141}[/tex] units.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, In right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

The given triangle has a hypotenuse of 25 units and a height of 22 units.

Therefore,

Hypotenuse² = Base² + Height².

Base² = Hypotenuse² -  Height².

Base = [tex]\sqrt{Hypotenuse^2 - Height^2}[/tex].

Base = [tex]\sqrt{25^2 - 22^2}[/tex].

Base = [tex]\sqrt{625 - 484}[/tex].

Base = [tex]\sqrt{141}[/tex].

So, The length of the base is [tex]\sqrt{141}[/tex] units.

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how many solution does following equtitions have 7x+21=21

Answers

One solution.

[tex]7x + 21 = 21 \\ 7x = 21 - 21 \\ 7x = 0 \\ x = 0[/tex]

If we can solve for the value of x. Then the solution would be one only for system of linear equations.

For your information, When the equation is true or rather say that both sides are the same, the solution will be infinite.

When the equation is false or rather say that both sides have different number or value then there won't be any solutions.

The distribution of height of adult american women is approximately normal with a mean of 65.5 inches and a standard deviation of 2.5 inches what percentage of women are taller than 70.5 inches?

Answers

Answer:

2.275%

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)SD

here, x = 70.5

mean = 65.5

SD = 2.5

Substituting these values;

z = (70.5-65.5)/2.5

= 5/2.5 = 2

So we want to calculate the probability that;

P( z> 2)

We check the standard normal distribution table for this

That will be

0.02275

In percentage, this is 2.275 %

Olivia filled 6 baskets of strawberries. Later she combined the fruit evenly into 3 larger boxes. if all 3 boxes sold for $42, how much money did each box of strawberries cost?

Answers

Answer:

21

Step-by-step explanation:

becuase that's the answer lol

can you guys help me please the things are
A
B
or C

Answers

Answer:

I don't really know about this sorry sorry

Answer:

✨ B

Step-by-step explanation:

✨Hope this helps✨

hurry please in test rn!!

Answers

answer y=2x+3

explanation
y=mx+b

The supplement of an angle is three times the measure of the angle.

What is the measure of the angle?

The measure of the angle is degrees.

The measure of the supplement of the angle is degrees.

Answers

Answer: The angle equals  45 ∘  and the supplement is  135 ∘

Explanation:

Since the supplement is three times the angle, we can say    s  =  3 a

Since we know the supplement is  

180 − a , we can plug that in.

180 - a = 3a

180  = 4 a  (add  a  to both sides)

45  =  a  (divide both sides by  4)

Since we know the angle now, all we have to do is multiply it times  3  to find the supplement.

45  ×  3  =  135

Identify the range of the function shown in the graph.
A.–6 ≤ x ≤ 6
B.y is all real numbers.
C.0 ≤ y ≤ 8
D.y > 0

Answers

The answer is A

the triangle is highlighted around -6 and 6 on the x axis

Make the expression a perfect square u^2 + 10u + 

Answers

Answer:

Take the coefficient of "u"

10

divide it by 2

5

square it

25

So, a perfect square would be

u^2 + 10u +25

which would be

(u +5)^2

Step-by-step explanation:

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