We expect that students who do well on the midterm exam in a course will usually also do well on the final exam. Gary Smith of Pomona College looked at the exam scores of all 346 students who took his statistics class over a 10-year period. The least-squares line for predicting final-exam score from mid-term exam score was γ=46.6 + 0.41x.
Octavio scores 10 points above the clas mean on the midterm. How many points above the class mean do you predict that he will score on the final. (Hint: what is the predicted final-exam score for the class mean midterm score of x-bar?) This is an example of regression to the mean, the phenomenon that gave "regression" its name: students who do well on the midterm will on average do less well on the final, but still above the class mean.)

Answers

Answer 1

Using the model equation, the predicted mean score on the final given a score of 10 points above the class mean in the mid term exam is 50.7

The Least - Square Regression equation which models the relationship between midterm and final exam score is :

γ=46.6 + 0.41x

x = 10 points ; substitute the value of x = 10 into the regression equation ;

γ=46.6 + 0.41(10)

γ=46.6 + 4.1

γ = 50.7

The number of points above the mean he'll score in the final exam is predicted to be 50.7

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Related Questions

How to Reduce -2/-6 to its lowest form?

Answers

Answer:

1/3.  To reduce a fraction, divide both the numerator and denominator by the GCF.

Answer the question below, and then fill in the blanks if necessary.
Can the distributive property be used to rewrite
3 + (8 + 4) ?

Answers

Answer:

acoording to the picture given, it is possible be cause there is a multiplication operation before the parenthesis.

Step-by-step explanation:

distribut the 3 to each number in the parenthesis:

(3 * 8) + (3 * 4) = 24 + 12 = 36

review the simple linear graph what is the slope of the simple linear graph of Line c write the slope either as a integer or fraction NO decimals enter your answer in the box​

Answers

Answer:

The answer is 1/4. Hope it helps.

Step-by-step explanation:

Which symbol correctly compares these fractions?

−35□−23


=

<

>

Answers

-35 is < -23.

-35 is less than -23.

-23 is closer to 0 on the number line with 12 steps than -35.

Write the equation of the line passing through the points (6,2) and (-2,-2). The equation of the line is [] Please helppp!!

Answers

Answer:

Step-by-step explanation:

slope=(-2-2)/(-2-6)=-4/-8=1/2

eq. of line is

y-2=1/2(x-6)

2y-4=x-6

2y=x-6+4

2y=x-2

or y=1/2x-1

1) In how many ways can a girl choose a two-piece outfit from 9 blouses and 8 skirts?
A) 17
B) 19
C) 144
D) 72

Answers

D. There are 9 blouse options and 8 skirt options. So, for each of the 9 blouses, there are 8 skirt options. Multiply 9x8, which equals 72

The total number of ways a girl can choose a two-piece outfit from 9 blouses and 8 skirts is 72.

What is permutation?

Permutation is a mathematical calculation of the number of ways a particular set can be arranged, where order of the arrangement matters.

Permutation Formula

[tex]^{n} P_{r} = \frac{P!}{(n-r)!}[/tex]

Where,

[tex]^{n}P_{r}[/tex] is permutation

n is the number of objects

r is the number of objects selected.

According to the given question.

Total number of blouses = 9

Total number of skirts = 8

So,

the number of ways of choosing one blouse from 8

=[tex]^{8} P_{1}[/tex]

= [tex]\frac{8!}{(8-1)!} \\[/tex]

= [tex]\frac{8!}{7!}[/tex]

= [tex]\frac{8\times 7!}{7!}[/tex]

= [tex]8[/tex]

And the number of ways of choosing one skirt from 9

[tex]^{9} P_{1} \\= \frac{9!}{(9-1)!} \\= \frac{9\times 8!}{8!} \\=9[/tex]

Therefore,

The total number of ways of choosing two piece outfit from 9 blouses and 8 skirts

= [tex]^{8} P_{1} \times ^{9} P_{1}[/tex]

= [tex]8 \times 9[/tex]

[tex]= 72[/tex]

Hence, the total number of ways a girl can choose a two-piece outfit from 9 blouses and 8 skirts is 72.

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If a bag contains 16 red, 4 yellow, 20 blue, and eight white balloons, what is the part to whole ratio of red balloons to all balloons?

Answers

Answer:  1:3

Step-by-step explanation:

(add) 16 + 4 + 20, + 8 = 48.

Then simplify 16:48 = 2:6 = 1:3

Hope this helped, have a great day/night!

~IFoundJiminsLostJams~

Jane, Andre, and Maria pick apples. Andre picks three times as many pounds as Maria. Jane picks two times as many pounds as Andre. The total weight of the apples is 840 pounds. How many pounds of apples does Andre pick?

Answers

Answer:

Andre picks 252 lbs of apples

Step-by-step explanation:

Maria picks 84

84 x 3 is 252

252 + 252(2) + 84 = 840

A 48 cm wire is to cut into two pieces. One piece must be cut 10 com longer than the shorter piece. How long should each peice be?

Answers

Step-by-step explanation:

short - S

long - L

L=10+S

L+S = 48

SINCE L=10+S

10+S+S=48

10+2S=48

2S=48-10

S=38/2=19

SHORT=19CM

LONG=10+S=10+19=39CM

The pH scale measures how acidic or basic a substance is. Bleach is said to have a
55 POINTS!!! WILL MARK!!! ANSWER FAST!!!pH of less than 14 and greater than 11. Model the normal range of pH values of bleach, using a compound inequality.

11 > x > 14
11 < x < 14
11 ≤ x ≤ 14
11 ≥ x ≥ 14

Answers

Answer:

11 < x < 14

Step-by-step explanation:

Bleach ph value ranges from 11-13

What is the equation of the line that passes through the point (-4, 2) and
has a slope of -2?

Answers

Answer:

y-2 = -2(x+4)

or

y = -2x-6

Step-by-step explanation:

We can use the point slope form of a line

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

y - 2 = -2(x- -4)

y-2 = -2(x+4)

If we want the equation in slope intercept form

Distribute

y-2 = -2x-8

Add 2 to each side

y-2+2 = -2x-8+2

y = -2x-6

"8% of a number is 20."

Answers

Answer: 250

Step-by-step explanation:

A survey of 300 randomly selected high school students determined that 16 play organized sports.
What is the probability that a randomly selected high school student plays organized​ sports?
(Round to the nearest thousandth as​ needed.)

Answers

(a) The probability that randomly selected high school student plays organized sport is 236/300 = 59/75 = 0.787 = 78.7%.

(b) The probability means that for every 75 random students selected, 59 of them plays organized sport.

solve pls brainliest

Answers

Answer:

white

4 were sold

3 more gray were sold than white

3 colors sold 10 or more

Answer:

a) White

b) 3

c) 3

Step-by-step explanation:

a) White as it is the shortest bar (has the lowest height and only has 4 t-shirts sold)

b) According to the bar graph, 7 grey t-shirts were sold and 4 white t-shirts were sold. Subtracting 4 from 7 = 7-4 = 3

Hence, 3

c) At least 10 T-shirts sold, suggests that it was greater than or equal to 10. According to the graph, black has 12, tan has 11, and brown has 10. Hence,

3 colors had at least 10 t-shirts sold.

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Feel free to mark this as brainliest!

Part A 4.59 is 3.4% of what number ?
Part B 98% of 66 is what number ?
Part c what number is 36% of 142 ?

Answers

A= (4.59 x 100)/ 3.4= 135
B= (66 x 98)/100= 64.68
C= (142 x 36)/100= 51.12

does anyone know this math problem??

Answers

Answer:

y = -7

Step-by-step explanation:

Solve the equation a = m - n for the variable n.

Answers

Answer:

n = m - a

Step-by-step explanation:

a = m - n

add n to both sides of the equation

a + n = m - n + n

a + n = m

subtract a from both sides of the equation

a - a + n = m - a

n = m - a

Answer:

n = a - m

Step-by-step explanation:

a = m - n

a - m = n

Describe the error Sadie made, and explain how to find the correct answer.

Answers

Answer:

did not simplify correctly

Step-by-step explanation:

just cuz

A number n is increased by 40% and then decreased by 14%. What is the final result in terms of n?

Answers

Answer:

X = 100. A 40% increase causes it to increase to 140. A 40% reduction amounts to multiplying by 0.6, leading to a reduction of 40% of 140 ...

All the people of a neighborhood pooled together and won the lottery. They won $10,000,000 and each person got a 0.02 share. How much money did each person receive?

Answers

Answer:

$200,000

Step-by-step explanation:

They all won $10,000,000 and

each person got a 0.02 share of the $10,000,000

Each person received

10,000,000*0.02 = $200,000

1.(154)10=(?)2
helpme! to solve it plz.​

Answers

Answer:

I think its (10000110)2

What does 1/2 + 1/4 equal

Answers

3/4.
1/2 is the same thing as 2/4. 2/4 plus 1/4 equals 3/4

Answer:

0.75 as a decimal, and 3/4 as a fraction

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

x = 6.4

Step-by-step explanation:

Step 1: Divide both sides by 4.

[tex]\frac{4x}{4}=\frac{25.6}{4}[/tex] [tex]x = 6.4[/tex]

Step 2: Check if solution is correct.

[tex]4(6.4)=25.6[/tex] [tex]25.6=25.6[/tex]

Therefore, x = 6.4.

Answer:

4x = 25.6

4x = 256 / 10

x = 256 / (10×4)

x = 64 / 10 (256 ÷ 4 = 64)

x = 6.4

so, answer is 6.4 .

Step-by-step explanation:

brainliest plz

You have at most $20 to spend at an arcade. Arcade games cost $0.75 each, and snacks cost $2.25 each. Write an inequality that represents the numbers of games (x )you can play and snacks( y) you can buy.
The inequality is ??

Answers

Answer:

y ≤ -1/3x+80/9

Step-by-step explanation:

(1). 0.75(x)+2.25(y) ≤ 20

0.75 - Number of arcade games (X).

2.25 - Number of snacks (Y).

20 - The total.

(2). 0.75x+2.25y≤20

(After multiplying the x's and y's together, with the numbers).  

(3). 0.75x (-0.75x) + 2.25y ≤ 20 (-0.75x)

(Subtract -0.75x to each side, which allows the equation to get closer to the answer).

(4). 2.25y       -0.75x + 20

   ————   =   ————

    2.25            2.25

(Divide by 2.25 to each side).

(5). y ≤ -1/3x + 80/9

(The result and the inequality).

I have 40 pieces of facemasks and 32 bottles of alcohol which will be distributed  equally to a group of front liners, if each of them will have the greatest          number of bottles of alcohol and facemasks, how many front liners will receive          each item?         Solution: ___________________________________________________________________         _____________________________________________________________________________​

Answers

Answer:

8 front liners

Step-by-step explanation:

Factorize the numbers:

40 = 2*2*2*532 = 2*2*2*2*2

LCM of the numbers is:

LCM(40, 32) = 2*2*2 = 8

This is a maximum number of front liners.

Each will receive:

40/8 = 5 facemasks and 32/8 = 4 bottles of alcohol

A ball is thrown vertically upward from the top of a 100-foot tower, with an initial velocity of 20 ft/sec. Its position function is s(t) = -16t^2 + 20t + 100. What is its velocity in ft/sec when t = 1 second?

Answers

The velocity of the ball in ft/sec, when t = 1 second is equal to -12 ft/sec.

Given the following data:

Displacement = 100 feetTime = 1 secondsPosition function = [tex]s(t) = -16t^2 + 20t + 100[/tex]

To calculate the velocity of the ball in ft/sec, when t = 1 second:

Mathematically, the velocity of an object or physical body is equal to the differentiation of it's position function.

Velocity = s'(t)

Velocity = [tex]s(t) = -16t^2 + 20t + 100[/tex]

[tex]Velocity = -32t + 20[/tex]

Substituting the value of time (t), we have:

[tex]Velocity = -32(1) +20\\\\Velocity =-32+20[/tex]

Velocity = -12 ft/sec

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Evaluate f(x)=2x+8 when x=−2, x=0, and x=5.

Answers

f ^− 1 ( x )  =  x/2  − 4

That is the inverse

The value of the function, for x=-2 is 4.

The given function is f(x)=2x+8.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

When x=-2, we get

f(-2)=2(-2)+8

=4

When x=0, we get

f(0)=2(0)+8

= 8

When x=5, we get

f(5)=2(5)+8

= 18

Therefore, the value of the function, for x=-2 is 4.

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Which is the greatest fraction? 1/3 , 1/4 , 2/4 , 3/8

Answers

Answer:1/4 < 1/3 < 3/8 < 2/4 Hope that helps!:)

Step-by-step explanation:

Rewriting as equivalent fractions with the LCD:

1/3 1/4 2/4 3/8

8/24 6/24 12/24 9/24

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

1/4   1/3   3/8   2/4

6/24 < 8/24 < 9/24 < 12/24

Therefore, the sorted inputs in order from least to greatest is:

1/4 < 1/3 < 3/8 < 2/4

Please answer this
Hope you get along
I report What to answer​

Answers

What the hel you expect us to do all that for 5 kids points? Go ask you mom to do that for you. If you're asking US to do that, then it has to be 40 or 50 points.

do -24 and -24 cancel each other out

Answers

No it does not the those together would be -48!
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