Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their​ grade-point averages​ (GPAs) after students were in the Sante Fe program for 2 years.
Student A B C D E F G
SAT Score 421 375 585 693 608 392 418
GPA 2.93 2.87 3.03 3.42 3.66 2.91 2.12
Student H I J K L M
SAT Score 484 725 506 613 706 366
GPA 2.50 3.24 1.97 2.73 3.88 1.58
The​ least-squares regression equation that shows the best relationship between GPA and the SAT score is:_____.

Answers

Answer 1

Answer:

y=1.003009+0.003453x

or

GPA=1.003009+0.003453(SAT Score)

Step-by-step explanation:

The least square regression equation can be written as

y=a+bx

In the given scenario y is the GPA and x is SAT score because GPA depends on SAT score.

SAT score (X) GPA (Y) X²         XY

421           2.93 177241 1233.53

375          2.87         140625 1076.25

585          3.03 342225 1772.55

693          3.42  480249 2370.06

608          3.66 369664 2225.28

392          2.91  153664 1140.72

418           2.12  174724 886.16

484          2.5    234256 1210

725             3.24  525625  2349

506          1.97   256036 996.82

613           2.73  375769 1673.49

706          3.88 498436 2739.28

366           1.58  133956 578.28

sumx=6892

sumy=36.84

sumx²=3862470

sumxy=20251.42

n=13

[tex]b=\frac{(nsumxy)-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2} }[/tex]

b=9367.18/2712446

b=0.003453

a=ybar-b(xbar)

ybar=sum(y)/n

ybar=2.833846

xbar=sum(x)/n

xbar=530.1538

a=2.833846-0.003453*(530.1538)

a=1.003009

Thus, required regression equation is

y=1.003009+0.003453x.

The​ least-squares regression equation that shows the best relationship between GPA and the SAT score is

GPA=1.003009+0.003453(SAT Score)


Related Questions

If you can explain please do.
I will give brainliest

Answers

We know that:

h(x) = 2x - 1

g(x) = 3x + 1

We are trying to find h(x) / g(x)

(h/g) (x) = (2x - 1) / (3x + 1)

This is simplest form.

Based only on the information given in the diagram, which congruence theorems or postulates could be given as reason why JKL and MNO?

Answers

Answer: I hope this helps

You can use LL, HL and SAS theorems to prove that triangles are congruent.

The right triangle leg leg congruence Theorem (LL) is a theorem for right triangles that says if the two corresponding shorter legs of two right triangles are congruent, then the two triangles are congruent.

The hypotenuse leg Theorem (HL) states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

The side angle side Postulate (SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

Answer: correct choices are B, C and E

b.LL

c. HL

e.SAS

Answer:

LL, SAS and, HL

Step-by-step explanation:

In a 30-60-90 triangle, the length of the hypotenuse is 17. Find the length of the side opposite the 30 degree angle.

Answers

Step-by-step explanation:

we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem

the length of the side opposite the 30 angle is 17/2

talking about exercise on the photo the answer is

8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.

Now lets use pythagorean theorem

x^2+y^2=z^2

z is hypotenuse

8^2+y^2=16^2

64+y^2=256

y^2=256-64

y^2=192

y=8√3

i need an answer help !

Answers

C section part is correct

bob is on his way home in his car. he has driven 30 miles so far, which is three-fifths of the way home. what is the total length of his drive?​

Answers

The length of Bob's drive as a fraction = 5/5

Let the length of his total drive be = x

30 miles driven by Bob as a fraction =

= 3/5 of x = 30

= 3/5x = 30

= 5/x = 30 ÷ 3 ( transposing ×3 from LHS to RHS changes ×3 to ÷3 )

=5/x = 10

= x = 10 × 5 ( transposing ÷5 from LHS to RHS changes ÷5 to ×5 )

= x = 50

Now we have to see what is =

= 2/5 of 50

= 2/5 × 50

= 100/5

= 20 miles

So , total length of Bob's drive = 30 miles + 20 miles = 50 miles .

∴ The total length of Bob's drive is 50 miles .

The equation of the line in the graph is y = ___ x + ___ .
I really need the help :) thx

Answers

Answer:

y= 1x-1 or y= x-1

Step-by-step explanation:

Make sure we know the equation y = mx +b

Remember M= slope, B= Y-intercept

We can see that the slope (rise over run)  is 1 so we plug in the 1 for M

Y= 1x +b

Now we have to look for the Y-intercept which is -1

making our equation now: Y= 1x -1

Hope this helps!!

Can someone help me plz

Answers

Answer:

7.y-side by side

8.n-lines don't cross, not vertical

9.n-don't equal 90 degrees

10.n-don't equal 180 degrees

11.AOB

12.COE

13.EOD

14.DOC

15.DOC, BOA

Step-by-step explanation:

which of the following is figure are complementary ​

Answers

Options 1, 2, and 3 (:
1, 2, and 3 are the answer

Please find the area and circumference of
the circle below

Answers

Answer:

area: 153.86

Circumference: 43.96 :D

Step-by-step explanation:

tia read 75 pages of a book containing 200 pages ,lia reads 2/5of the same book who reads less?​

Answers

Answer:

5 pages less (Tia)

Step-by-step explanation:

2/5 of 200 =2 ×200 :5 =400 :5 =80 pages( Lia)

80-75 =5 pages (Tia red with 5 pages less)

Tia read 5 pages less. Hope this helps.

1/3 is equivalent to what percent

Answers

Answer: 33.33%

Step-by-step explanation:

Answer:

33.3333...%

Step-by-step explanation:

33 x 3 = 99.9999...

Stacy has 6 fewer than half as many marbles as Mallory .If Stacy has thirty marbles how many does Mallory have

Answers

Answer:

72

Step-by-step explanation:

Stacy has 30 marbles

Let m= the number of marbles that mallory has

stacy has 1/2 m -6

30 = 1/2 m -6

Add 6 to each side

30+6 = 1/2m

36 = 1/2m

Multiply each side by 2

72 = m

Mallory has 72 marbles

Answer:

72

Step-by-step explanation:

I'm cool and the guy above me stinko

In which situations are translations useful for transformations? Reflections? Rotations?
Translations are useful when shifting the points of an image (select) ,
reflections are useful when shifting the points of an image (select) , and
rotations are useful when shifting the points of an image (select)

Answers

Answer:

Translations are useful when shifting the points of an image: along the same direction and length

Reflections are useful when shifting the points of an image: across a line

Rotations are useful when shifting the points of an image: around a point

(im doing the test rn)

HELP ME !I don’t know exactly how to do this

Answers

Answer:

x + 5

Step-by-step explanation:

Since she works x hours babysitting and 5 hours tutoring the equation should be x + 5

I am so sorry if I am wrong!!

14 is no less than 8 times a number x plus 6.

An inequality is ?

Answers

Answer:

The inequality is 14 ≤ 8x + 6

Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
OA. VE2
✓ B. 1: 13
C. 5 : 13
OD. 2.5: 6
E. 1: 2
OF. : 3

Answers

Answer:1 squad 3

2 squad 3 :6

Step-by-step explanation:

Can someone help me please

Answers

Answer:

your on the right one it's -7.5

Answer:

the answer is -7.5

Step-by-step explanation:

the answer is -7.5 because whenever you add a negative plus a negative it changes the equations symbol so it would be -4 minus 3.5 and the answer would be -7.5.

hope this helps :)

- by chance may i get brainliest

best estimate for 72% of 238?

Answers

Answer: Around 171, more specifically 171.36 if you need a exact number. You can also round it up if you need too.

Step-by-step explanation: 0.72 times 238 = 171.36

She is so sis she jxbeud

PLEASE HELP ME ASAP!!!! I WILL GOVE BRAINLIEST!!!

Answers

Answer: 12.50 or 12.5 same thing

Step-by-step explanation:

divide 4400 by 352 to get 12.5

Consider a 25 factorial design. (a) How many factors and levels are considered in this factorial experiment

Answers

Answer:

Step-by-step explanation:

From the information given;

We are to take a look at a 2⁵ factorial design.

The factorial design consists of carrying out the design of equipment by testing it by modifying not the parameters one by one but by modifying several simultaneous parameters.

An experiment is termed to be a 2⁵ factorial experiment if in the experiment 5 factors are studied consecutively with each at two-level.

Thus, there are five factors and 2 levels in the experiment.

plssssssssssssssssssssssss help for test
Your math class is collecting canned food for a local food drive. The goal is to collect at least 130 cans but no more than 250 cans due to space limitations. There are 24 students in your math class and your teacher has promised to bring in 10 cans. Select which inequalities represent the possible numbers n of cans that each student should bring in.

Answers

the first thing we must do is define variables.

We have then:

n: number of cans that each student must bring.

We know that:

The teacher will bring 5 cans

There are 20 students in the class

At least 105 cans must be brought, but no more than 205 cans

Therefore the inequation of the problem is given by:

105 < 20n + 5 <205

Answer:

the possible numbers n of cans that each student should bring in is:               105 < 20n + 5 < 205

Herman is standing on a ladder that is partly in a hole. He starts out on a rung that is 6 feet under ground, climbs up 14 feet, then climbs down 11 feet. What is Herman’s final position, relative to ground level?

Answers

Answer:

Are there answers

Step-by-step explanation:

Answer:

answer

Herman is standing on a ladder that is partly in a hole. He starts out on a rung that is 6 feet under ground, climbs up 14 feet, then climbs down 11 feet. ...

Sarah writes 4 songs. Ronnie writes 6 more songs than Sarah Paul writes 2 times as many songs as Sarah

Answers

sarah: 4 songs
ronnie: 10 songs
paul: 8 songs

Answer:

Sarah: 4 songs

Ronnie: 10 songs

Paul: 8 songs

Step-by-step explanation:

-2/3 times 2 1/2 times (-3)

Answers

Answer:

Answer if 5

Step-by-step explanation:

-2/3 times 5/2 equals -5/3 times -3 equals5

Answer:

5.

for help with multiplying factions, take a look at this chart.

Find the area of the triangle

Answers

The area should be 60 which is half the height times base

What is the solution R-7=1?? Thank

Answers

Answer: R=8

Step-by-step explanation: R-7=1, R+7=1+7, R=8.

у
STEPS
1.
2
(0,1)
2.
3.
X
6
-310
4
-2
(4, -2)
+4
slope

Answers

AnsweI'm nauseous, I'm dyin'

(She ripped my heart right out)

Can't find her, someone to

(My eyes are all cried out)

Lost it, riots

Gunfire inside my head, I've

Lost it, riots

Gunfire inside my headr:

Step-by-step explanation:

Maggie claims that there are transformations that preserve the length of the rectangle's sides. Which of the following transformations could be used to support Maggle's claim? Select all that apply.
reflection over the side RS
a translation of 10 units to the right
a rotation of 90' clockwise about vortex Q
a vertical stretch of scale factor 2 through contor C
a dilation of scale factor 1 through conter

Answers

Answer: B,D,E. Step-by-Step explanation

Transformation that preserve lengths are rigid transformation.

The options that support Maggie's claim are:

reflection over the side RS a translation of 10 units to the right a rotation of 90' clockwise about vortex Q  

All transformations are rigid transformation, except dilation.

Dilation are of two types

StretchCompress

Either of the two above, do not preserve length

This means that:

Options (d) and (e) will not preserve the lengths of the rectangle, because they represent dilation

Hence, the correct options that will preserve the length of the rectangle are: (a), (b) and (c)

Read more about transformation at:

https://brainly.com/question/13801312

A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides.
Suppose the paper is 7"-wide by 9"-long.
a. Estimate the maximum volume for this box?
b. What cutout length produces the maximum volume?

Answers

Answer:

B

Step-by-step explanation:

To answer this question it is necessary to find the volume of the box as a function of "x", and apply the concepts of a maximum of a function.

The solution is:

a) V (max) = 36.6 in³

b) x = 1.3 in

The volume of a cube is:

V(c) = w×L×h  ( in³)

In this case, cutting the length  "x" from each side, means:

wide of the box    ( w - 2×x )   equal to  ( 7 - 2×x )

Length of the box ( L - 2×x )   equal to  ( 9 - 2×x )

The height  is  x

Then the volume of the box,  as a function of x is:

V(x) = ( 7 - 2×x ) × ( 9 -2×x ) × x

V(x) = ( 63 - 14×x - 18×x + 4×x²)×x

V(x) = 4×x³ - 32×x² + 63×x

Tacking derivatives,  on both sides of the equation

V´(x) = 12×x² - 64 ×x + 63

If   V´(x) = 0      then      12×x² - 64 ×x + 63 = 0

This expression is a second-degree equation, solving for x

x₁,₂ = [ 64 ± √ (64)² - 4×12*63

x₁ =  ( 64 + 32.74 )/ 24

x₁ = 4.03     this value  will bring us an unfeasible solution,  since it is not possible to cut 2×4 in from a piece of paper of 7 in ( therefore we dismiss that value)

x₂ = ( 64 - 32.74)/24

x₂ = 1.30 in

The  maximum volume of the box is:

V(max) = ( 7 - 2.60) × ( 9 - 2.60)×1.3

V(max) = 4.4 × 6.4 × 1.3

V(max) = 36.60 in³

To chek for maximum value of V when x = 1.3

we find the second derivative of V  V´´,  and substitute the value of x = 1.3,    if the relation is smaller than 0,  we have a maximum value of V

V´´(x) = 24×x - 64 for x = 1.3

V´´(x) = 24× 1.3 - 64            ⇒   V´´(x) < 0

Then the value  x = 1.3 will bring maximum value for V

Related Link: https://brainly.com/question/13581879

The center of an ice rink is located at (0, 0) on a coordinate system measured in meters. Susan is skating along a path that can be modeled by the equation y = 6x – x2 – 5. Luke starts at (10, –21) and skates along a path that can be modeled by a quadratic function with a vertex at (8, –9). If the rink is a circle with a radius of 35 meters, which statement best interprets the solution(s) of a system of equations modeling the paths of the skaters?


A. The skaters’ paths intersect once, but that point is outside the rink.

B. The skaters’ paths intersect once, and that point is inside the rink.

C. The skaters’ paths intersect twice, but only one of those points is inside the rink.

D. The skaters’ paths intersect twice, and both points are inside the rink.

Answers

Answer:

Option C:The skaters path intersect twice, but only one of those points is inside the rink.

Step-by-step explanation:

Coordinates of center of ice rink: (0,0) Radius of ice rink circle = 35 m

We know that the equation of a circle with center coordinates (a,b) and radius of (r) is given as; (x - a)² + (y - b)² = r²

Thus, the total area on which the skaters are skating will be given by the equation;

x² + y² = 35²

Now, we are told the path along which Susan is skating is modeled by the equation: y = 6x - x² - 5

While Luke starts at (10, –21) and skates along a path that can be modeled by a quadratic function with a vertex at (8, –9)

From equation of a parabola, the path along which like is skating can be modeled by;

(x - 8)² = 4a(y + 9)

To find a, we will substitute the coordinate started at to get;

(10 - 8)² = 4a(-21 + 9)

4 = 4a × -12

Divide both sides by 4 to get;

a = -1/12

Thus;

(x - 8)² = 4(-1/12)(y + 9)

(x - 8)² = (-1/3)(y + 9)

This gives: 3(x - 8)² = -(y + 9)

I've drawn the graph on demos and attached it.

From the graph we can see that the skaters points intersect twice but one is inside the rink circle while the other is outside the rink circle. The point at which they intersect outside the rink was slightly cropped out because of size. But it is clearly seen that they are both approaching point of intersection.

Thus, correct answer is Option C.

Answer:

C

Step-by-step explanation:

just took the quiz

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