What is the slope of a line parallel to the line whose equation is y

Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student

gizmo_the_mogwai [7]

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

$b=\frac{(nsumxy)-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2} }$

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)

7 0

3 years ago

A random sample of 8 recent college graduates found that starting salaries for architects in New York City had a mean of $42,653

ycow [4]

Answer:

C. (36337.32, 48968.68)

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{9114}{\sqrt{8}} = 6315.68$

The lower end of the interval is the sample mean subtracted by M. So it is 42653 - 6315.68 = 36337.32.

The upper end of the interval is the sample mean added to M. So it is 42653 + 6315.68 = 48968.68.

So the correct answer is:

C. (36337.32, 48968.68)

3 0

2 years ago

Marisa decided to raise the price of her earrings so that she will make a profit of $5.00 on each pair. She has

Varvara68 [4.7K]

Marisa, who raise the price of her earrings so that she will make a profit of $5.00 on each pair, expect to make a profit with her company.

<h3>What is the unit price?</h3>

The unit price is the amount of money required to buy one unit of a item or goods.

To find the unit price, divide the total cost of the goods to the total number of goods.

The cost of repair will now be $60. Thus, the total cost of 50 earrings is,

$C=60\times50\\C=3000$

Marisa decided to raise the price of her earrings so that she will make a profit of $5.00 on each pair. Thus, the new selling price of her earring is,

$P=60+5\\P=65$

The sale's price of 50 earrings is,

$P=50\times65\\P=3250$

She has also improved the quality control so that only 1 pair in 50 need to be returned for repair. Thus, the cost price of one earring has to be removed from the sales price of 50 earrings as,

$P=3250-60\\P=3190$

The profit made by her company on 50 earrings is

$p=P-C\\p=3190-3000\\p=190$

Thus, Marisa, who raise the price of her earrings so that she will make a profit of $5.00 on each pair, expect to make a profit with her company.

Learn more about the unit price here;

brainly.com/question/25879801

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8 0

1 year ago

What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following x^2+16x-145=10x-7

Lorico [155]

Answer:

(x+3)^2=147

Step-by-step explanation:

7 0

2 years ago

2.the solution set of x +y =5 and x-y =3

Nataliya [291]

Answer:

Check the solution below

Step-by-step explanation:

2) Given the equation

x +y =5... 1 and

x-y =3 ... 2

Add both equations

x+x = 5+3

2x = 8

x = 8/2

x = 4

Substitute x = 4 into 1:

From 1: x+y = 5

4+y= 5

y = 5-4

y = 1

3) Given

x+3y =15 ... 1

2x+7y=19 .... 2

From 2: x = 15-3y

Substitute into 2

2(15-3y)+7y = 19

30-6y+7y = 19

30+y = 19

y = 19-30

y = -11

Substitute y=-11 into x = 15-3y

x =15-3(-11)

x = 15+33

x = 48

The solution set is (48, -11)

4) given

x/2 +y/3 =0 and x+2y=1

From 1

(3x+2y)/6 = 0

3x+2y = 0.. 3

x+2y= 1... 4

From 4: x = 1-2y

Substutute

3(1-2y) +2y = 0

3-6y+2y = 0

3 -4y = 0

4y = 3

y = 3/4

Since x = 1-2y

x = 1-2(3/4)

x = 1-3/2

x= -1/2

The solution set is (-1/2, 3/4)

5) Given

5.x=1/2 and y =x +1 then solution is

We already know the vkue of x

Get y

y= x+1

y = 1/2 + 1

y = 3/2

Hence the solution set is (1/2, 3/2)

6) Given

3x +y =5 and x -3y =5

From 3; x = 5+3y

Substitute into 1;

3(5+3y)+y = 5

15+9y+y = 5

10y = 5-15

10y =-10

y = -1

Get x;

x = 5+3y

x = 5+3(-1)

x = 5-3

x = 2

Hence two solution set is (2,-1)

6 0

2 years ago

What is the slope of a line parallel to the line whose equation is y - x = 5 ? please explain answer