A mathematics teacher wanted to see the correlation between test scores and
homework. The homework grade (x) and test grade (y) are given in the accompanying
table. Write the linear regression equation that represents this set of data, rounding
all coefficients to the nearest hundredth. Using this equation, estimate the homework
grade, to the nearest integer, for a student with a test grade of 68.
Homework Grade (x) Test Grade (y)
X | Y
88 | 90
55 | 55
89 | 91
85 | 88
61 | 52
76 | 76
76 | 81
61 | 59

Answers

Answer 1

Answer:

The homework  grade, to the nearest integer, for a student with a test grade of 68 is 69.

Step-by-step explanation:

The general form of the linear regression equation is:

[tex]y=a+bx[/tex]

Here,

y = dependent variable = test grade

x = independent variable = homework grade

a = intercept

b = slope

Compute the value of a and b as follows:

[tex]a=\frac{\sum Y\cdot \sum X^{2}-\sum X\cdot\sum XY}{n\cdot \sum X^{2}-(\sum X)^{2}}\\\\=\frac{(592\times 44909)-(591\times45227)}{(8\times44909)-(591)^{2}}\\\\=-14.316[/tex]                [tex]b=\frac{n\cdot \sum XY-\sum X\cdot\sum Y}{n\cdot \sum X^{2}-(\sum X)^{2}}\\\\=\frac{(8\times 45227)-(591\592)}{(8\times44909)-(591)^{2}}\\\\=1.195[/tex]

The linear regression equation that represents the set of data is:

[tex]y=-14.316+1.195x[/tex]

Compute the value of x for y = 68 as follows:

[tex]y=-14.316+1.195x[/tex]

[tex]68=-14.316+1.195x\\1.195x=68+14.316\\1.195x=82.316\\x=68.884\\x\approx 69[/tex]

Thus, the homework  grade, to the nearest integer, for a student with a test grade of 68 is 69.

A Mathematics Teacher Wanted To See The Correlation Between Test Scores Andhomework. The Homework Grade
Answer 2

The linear regression equation which models the relationship between homework grade and test grade and the predicted homework grade are :

y = 1.20x - 14.32

Predicted, x = 69

Using technology, the linear model can be obtained using either excel or a linear regression calculator.

Using a linear regression calculator which gives the linear equation in the form :

y = bx + c

y = 1.20x - 14.32

y = Test grade ; x = homework grade

Slope, b = 1.20 ; intercept, c = - 14.32

Using the model equation obtained :

Test grade, y = 68

Homework grade, x

y = 1.20x - 14.32

68 = 1.20x - 14.32

68 + 14.32 = 1.20x

82.32 = 1.20x

x = (82.32 ÷ 1.20)

x = 68.6

x = 69 (nearest integer)

Therefore, the estimated homework grade for a test score of 68 is 69

Learn more : https://brainly.com/question/18405415

A Mathematics Teacher Wanted To See The Correlation Between Test Scores Andhomework. The Homework Grade

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Step-by-step explanation:

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the answer is D

The quotient of the given function is [tex]\frac{\sqrt{3}}{2}[/tex]

Given the radical function

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[tex]= \dfrac{3\sqrt{8} }{4\sqrt{6} } \times \dfrac{\sqrt{6} }{\sqrt{6} }\\= \dfrac{3\sqrt{8} (\sqrt{6}) }{4\sqrt{6} \cdot \sqrt{6}}\\[/tex]

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[tex]=\dfrac{3\sqrt {48}}{4(6)} \\=\dfrac{3(4\sqrt{3})}{24} \\=\dfrac{4\sqrt{3}}{8} \\=\dfrac{\sqrt{3}}{2}[/tex]

Hence the quotient of the given function is [tex]\frac{\sqrt{3}}{2}[/tex]

Learn more on surd function here: https://brainly.com/question/11852465

This is making my brain shrink

Answers

Answer:

The answer to part a is 3.6. I do not know about part b though.

Step-by-step explanation:

72-54= 18

18/5= 3.6

You go to the market to buy fruit. The person in
front of you in line buys 5 apples and 3 oranges
for $8.50. You buy 3 apples and 3 oranges for
$7.50. Let x represent the price per apple. Let y
represent the price per orange. Find the price
of each fruit.

Answers

Answer:

$0.50 per apple and $2.00 per orange

Step-by-step explanation:

An employee works for $45 hours each week. He is paid $4 per hour for 40 hours per week and $6 per hour for overtime, what is his gross weekly wage?

Answers

Answer: $190

Step-by-step explanation:

Normal pay $4 * 40 hours = $160

Overtime $6 * 5 = $30

Answer:

Step-by-step explanation:

Gross wage = Regular wage + overtime wage

Employee works for 45 hours = 40 hours + 5 hour overtime

Gross wage = 4*40 + 6*5

                   = 160 + 30

                  = $ 190                          

50 POINTS TO WHOEVER HELPS WITH THIS I NEED IT ASAP PLEASE HELP

Answers

Answer:

4a ) Difference ⇒ $ 63.24,

4b ) 4 children

Step-by-step explanation:

4a ) If the number of children is represented by the value of x, let us substitute a family of 2 children as value of x into this equation we are given;

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y = 42.16 + 85.15 ⇒ Combine like terms,

y = 127.31

If y ⇒ amount spent on grocery's, let us solve for the amount spent on 5 children, and subtract from this amount;

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Kevin has $4.85 in nickels and dimes. If he has 34 fewer dimes than nickels, how many coins (nickels and dimes) does he have altogether?

A. 74 coins

B. 75 coins

C. 76 coins

D. 77 coins

Answers

Answer:

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Step-by-step explanation:

Answer:

the correct answer is C

Step-by-step explanation:

Set the 34 more nickels aside.

--> pairs of 1 nickel & 1 dime each worth 15 cents & a total of $3.15 ($4.85 - $1.70)

315/15 = 21 pairs

--> 21 dimes and 55 nickels

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Answers

n+5=13 n=8

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Answers

Answer:

a) You'd be paying 80%

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Step-by-step explanation:

How many triangles can be constructed with angles measuring 110°, 50°, and 20°? a) more than one
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Answers

Answer:

a, More than one.

Because it satisfies the property of sum of 3 angles that: 20 + 50 + 110 = 180 deg

Hope this helps!

:)

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Answers

Answer:

31.4 cm

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Step-by-step explanation:

The radius of the inner circle is 5 cm.  The line from the edge of the outer circle to the edge of the inner circle is 5 cm.  Assuming that the center of the outer center is the same as the center of the inner circle, the radius of the outer should be 10 cm.

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Outer Circle

C = 2πr

C = 2π(10)

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C = 62.8 cm

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Answers

Answer:

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Step-by-step explanation:

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Answer:

4  units right - 4 units left

Step-by-step explanation:

The right answer is 5 units

Look at the attached picture

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Answers

Answer:

8.1

Step-by-step explanation:

Answer:

mean=8.1

Step-by-step explanation:

mean= 15+5+8+12+5+9+4+10+2+11÷10=81÷10=8.1

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Answers

Answer:

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Step-by-step explanation:

Answer:

J-12-16KL(-12, -16)MO

Sorry. I cannot really the points and graphs clearly.

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Answers

Answer:

[tex]\frac{d(4d-25)}{40}[/tex]

Step-by-step explanation:

Given: [tex]d+\frac{3}{8}d-2d+\frac{1}{10}d^2[/tex]

To find: the value of given expression in reduced form

Solution:

[tex]d+\frac{3}{8}d-2d+\frac{1}{10}d^2=\frac{d}{1}+\frac{3}{8}d-\frac{2d}{1}+\frac{1}{10}d^2[/tex]

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( L.C.M of two or more numbers is the smallest positive number that is their multiple )

So,

[tex]d+\frac{3}{8}d-2d+\frac{1}{10}d^2=\frac{d}{1}+\frac{3}{8}d-\frac{2d}{1}+\frac{1}{10}d^2\\=\frac{40d+15d-80d+4d^2}{40}\\=\frac{\left ( 40d+15d-80d \right )+4d^2}{40}\\=\frac{\left ( -25d \right )+4d^2}{40}\\=\frac{4d^2-25d}{40}\\=\frac{d(4d-25)}{40}[/tex]

Answer:

umm your answer is wrong!

Step-by-step explanation:

Which statements about the coordinate system are true?
Select three that apply.

A. The point (0, 3)​ is located on the x​ -axis.

B. The point (7, 0)​ is located on the x​ -axis.

C. The origin is located at the point (1, 1)​ .

D. The origin is located at the intersection of the x​ - and y​ -axes.

E. In the ordered pair (4, 3)​ , the 3​ indicates how far the point is above the x​ -axis.

F. In the ordered pair (4, 3)​ , the 3​ indicates how far to travel on the x​ -axis from the origin.

Answers

B, D and E is the statements that are true
I think answer should be a.

It takes 323232 minutes for 888 people to paint 888 walls.
How many minutes does it take 121212 people to paint 121212 walls?
minutes

Answers

Answer:

323232÷121212

answer=2.66

Answer:

32 minutes

Step-by-step explanation:

Imagine that each person is assigned one wall, and all 8 people begin painting at the same time.

Since everyone will finish painting their assigned wall after 32 minutes, it takes one person 32 minutes to paint one wall.

If we have 12 people and 12 walls, we can again assign one wall to each person.

Everyone will take 32 minutes to paint their assigned wall.

In other words, it takes 32 minutes for 12 people to paint 12 walls.

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What do they charge for the tennis racquet?

Answers

Answer:

$64

Step-by-step explanation:

Translate the following phrase to an expression: the product of a number and 2.

Evaluate the expression for n = 18

n + 2; 20
2 n; 36
n ÷ 2; 9
18 n; 36

Answers

Answer:

2 n; 36

Step-by-step explanation:

The product of a number and 2 is 2n. When you substitute 18 for n, the solution is 2(18) or 36

Answer:

2 n; 36

Step-by-step explanation:

Let the number be n

The product of a number, n and 2 when n = 18

= 2*n

= 2 * 18

=36

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Answers

Answer:

the actual answer is

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diameter :22

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Answers

Answer:

A. Millimeter

Step-by-step explanation:

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Answers

Answer:

A = 108 m^2

Step-by-step explanation:

The area of a trapezoid is found by

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Answer:

108 meters squared

Step-by-step explanation:

Area = (1/2)(base 1 + base 2)*height

Area= (1/2)(14+10)*9

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Area= 108 meters squared

S = {2, 4, 6, 8, 10
T = {1, 2, 3, 4, 5)
What is the probability that a number selected at random from set S above will also be in set T?
O 0.1
O 0.2
O 0.4
O 0.5

Answers

Answer:

0.2

Step-by-step explanation:

the total is 10

they said that it has to be the same group as S and T

the only numbers that are in the same groups is 2 and 4

the fraction is then 2/10

which is .2

correct me if i am wrong

The probability that a number selected at random from set S above will also be in set T will be 0.2 hence, option (B) will be correct.

What is probability?

The probability of an event occurring is defined by probability.

Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

Do not take underestimate probability it has several uses in daily life whether forecasts and like that.

In our daily time, there are several instances in the everyday world where we may need to draw conclusions about how everything will turn out.

Given that the S = {2, 4, 6, 8, 10 and T = {1, 2, 3, 4, 5)

Now there are a total of 10 numbers. The common number among S and T are 2 and 4  only so

Probability = 2/10 = 0.2 hence it will be correct.

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Determine the 6 trigonometric ratios of the angle

Answers

First make a sketch

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Mrs. Irvin's kids would like some sandwiches! They can choose from 3 kinds of bread, 2 types of meat, and 4 types of cheeses. How many different sandwich combinations could she make? (Hint: Draw a tree diagram to help figure out the combinations. You could label bread as B1, B2, B3; meat as M1, M2; cheese as C1, C2, C3, C4, etc)
9 sandwich combinations
10 sandwich combinations
24 sandwich combinations
None. They will all end up wanting peanut butter instead and then just feed it to the dog. ;)

Answers

Answer:

I don't knoooooooooow

Answer:

24 sandwich combinations

Step-by-step explanation:

To solve this problem, you can do 3x2x4, and you would get 24.

Or, you can do something like this:

1st kind of bread with 1st type of meat and 4 options of cheese = 4 possible combinations

1st kind of bread with 2nd type of meat and 4 options = another 4 possible combinations

Those combinations added together equals 8 combinations. If you multiply this by 3 (3 types of bread), then you would get 24 sandwich combinations, which is the answer.

Hope this helps! :)

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