which three quantities are needed in order to calculate the value of the y-intercept for the linear regression prediction equation?

Answers

Answer 1

The three quantities needed are the mean of X, the mean of Y, and the slope

How to determine the values?

The y-intercept of a linear regression is calculated using:

[tex]a = \bar y - a\bar x[/tex]

Where:

[tex]\bar y[/tex] represents the mean of y[tex]\bar x[/tex] represents the mean of xa represents the slope

Hence, the three quantities needed are the mean of X, the mean of Y, and the slope

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Related Questions

An automobile company is running a new television commercial in five cities with approximately the same population. the following table shows the number of times
the commercial is run on tv in each city and the number of car sales in hundreds). find the linear regression line for the data given in the table. round any intermediate
calculations to no less than six decimal places, and round the coefficients to two decimal places.
number of tv commercials, x
car sales, y (in hundreds)
13 6 12 14 17
3 28 97

Answers

The linear regression equation is y = 0.50x - 0.36

How to determine the linear regression equation?

The proper format of the table of values is:

Number of tv commercials, x: 13 6 12 14 17

Car sales, y (in hundreds):        3  2 8   9  7

Next, we determine the linear regression equation using a graphing calculator.

From the graphing calculator, we have the following summary:

Sum of X = 62Sum of Y = 29Mean X = 12.4Mean Y = 5.8Sum of squares (SSX) = 65.2Sum of products (SP) = 32.4

The regression equation is the calculated as:

y = bx + a

Where

b = SP/SSX = 32.4/65.2 = 0.49693

a = MY - bMX = 5.8 - (0.5*12.4) = -0.36196

Substitute these values in y = bx + a

y = 0.49693x - 0.36196

Approximate

y = 0.50x - 0.36

Hence, the linear regression equation is y = 0.50x - 0.36

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The market value of a home is $180,000. The assessment rate is 55%. What is the assessed value of the home?

Answers

the assessed value of the home is $99,000.

Answer:

$99 000

Step-by-step explanation:

[tex](180000)(\frac{55}{100} )=99000[/tex]

Hope this helps

Which graph shows the solution to the system of linear inequalities? Edge.

x + 3y > 6

y ≥ 2x + 4

Answers

A system of inequalities can be solved graphically.

See attachment for the required graph

The inequalities are given as

[tex]x + 3y > 6\\y \geq 2x + 4[/tex]

The options are not given.

So, I have attached the graph that illustrates the solution to the system of inequalities.

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

From the graph, we have the solutions as

[tex]x > -0.857[/tex]

[tex]y\geq 2.276[/tex]

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5|2x+6|=26...can someone answer this please

Answers

Answer:

x = -2/5 or x = -28/5

Step-by-step explanation:

Let's solve your equation step-by-step.

5(|2x+6|)=26

Step 1: Divide both sides by 5.

5(|2x+6|)/5 = 26/5

|2x+6|=26/5

Step 2: Solve Absolute Value.

|2x+6|=26/5

We know either2x+6= 26/5 r2x+6=−26/5

2x + 6 = 26/5(Possibility 1)

2x+6−6= 26/5 - 6 (Subtract 6 from both sides)

2x = -4/5

2x/2 = -4/5/2 (Divide both sides by 2)

x = -2/5

2x + 6=-26/5 (Possibility 2)

2x+6= -26/5 (Simplify both sides of the equation)

2x + 6 - 6 = -26/5  - 6 (Subtract 6 from both sides)

2x = -56/5

2x/2 = -56/5/2(Divide both sides by 2)
x = -28/5

Answer:

x = -2/5 or x = -28/5

Drag the boxes to order the decimals from least to greatest from left to right.

316.011

306.324

306.359

Answers

Answer:

306.324

306.359

316.011

Step-by-step explanation:

Hope it helped!

About how many people moved away from the great plains states during the depression? 100,000 250,000 2.5 million 10 million

Answers

Answer:

the answer is 2.5 million

Step-by-step explanation:

About 2.5 million people moved away from the Great Plains states during the Great Depression.

What is the great depression?

The 1930s saw a catastrophic economic collapse known as the Great Depression. It was the twentieth century's longest, most widespread, and deepest depression, affecting countries all over the world. The Great Depression began on October 29, 1929, with a stock market catastrophe in the United States known as "Black Tuesday."

This movement was called the Dust Bowl migration and was caused by a combination of factors including drought, soil erosion, and economic hardship.

Many people left the region in search of better opportunities and living conditions.

Therefore, 250,0000 people moved.

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Find the values of the variables indicated below

M=

K=

Answers

Answer:

m=120

k=60

Step-by-step explanation:

a trapezoid has 360 degrees. subtract 120 degrees to get 240 degrees. we know that m=2k. 240=2k+2k which is 4k. 240 is 4k. k=60. m=2k, so mulitply 60 by 2 to get m=120

pls help answer ASAP

Answers

Answer:

a: 1
b: -1
c: -3

Step-by-step explanation:

You can rearrange the terms and make the equation become:
x - y - 3
There, you can see that the values are the following:
a: 1
b: -1
c: -3

Which choice is the most efficient first step to solve this set of
equations?
y=3x-5
2x+6y=20

Answers

Answer:

b) Substitute (3x - 5) for y in the second equation.

Step-by-step explanation:

If using the substitution method, then the second choice is the most efficient first step.

What is the substitution method?

The substitution method can be used to solve a system of equations. It is when you isolate any of the variables from one of the equations and then substitute that value into the other equation.

Here, the first equation already has an isolated variable, y. We can then substitute its value into the second equation. Like so:

⇒ 2x + 6y = 20

⇒ 2x + 6(3x - 5) = 20

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Help me please, i am dum

Answers

a) 50<x<60

b) 20<x<30

idek

For every 1 litre of water used to make a
medicine, 311ml of sucrose and 29ml of
saline solution are used. Express the amount
of water, sucrose and saline solution needed
as a ratio in its simplest form.

Answers

Step-by-step explanation:

hope you can understand

help … fr …. D: D: D: D:

Answers

Step-by-step explanation:

Let x be mixture x liters and y be mixture y liters.

We need a total of 4 liters so

[tex]x + y = 4[/tex]

Mixture x is 20% saline solution

Mixture Y is a 10% saline solution

4 liters of a 15% saline solution is 60% saline solution.

[tex].20x + .10y = 0.6[/tex]

So a is the system of equations,

Using Elimination, eliminate the variable x.

[tex] - 5(.20x + .10y) = 0.6[/tex]

[tex]( - x - .50y) = - 3[/tex]

Add to the first system.

[tex]0.50y = 1[/tex]

[tex]y = 2[/tex]

Plug this into the of system of equations, to find x

[tex]x + 2 = 4[/tex]

[tex]x = 2[/tex]

So our solution is (2,2) We would need 2 liters of Mixture X and 2 liters of Mixture Y

The cash price of a mobile phone is $540. Andrea bought the mobile phone by paying $42 monthly instalments over 15 months. Find the flat rate interest of the instalments, give your answer correct to 3 significant figures.

Answers

The rate of interest of the instalment is 13%

What is Instalments ?

The part payment of a loan is called Instalment

It is given that

The Cash price is $540

Instalment of $42

Time = 15 month = 15/12 = 1.25 years

Total Amount paid = 42 * 15 =$630

Interest Paid is $90

90 = 540 * 1.25 *Rate

Rate = 13%

The rate of interest of the instalment is 13%

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Which of the following is a factor of x^3-7x-6?

A. X+3
B. X+4
C. X-2
D. X+1

Answers

Jejdjdjjdjsjsjsjshshhshzhhzhshzhsjjssjsjsjsj c

You have a dog walking business. You charge based on the weight of the dogs. For a 45-minute walk your prices are:

For dogs that weight 0 up to 15 lbs. you charge $5.00.
For dogs between 15 lbs. and 45 lbs. you charge $7.00
Dogs over 45 lbs. you charge $9.00.

Answer the following questions:
1. If a customer has a 6 pound Chihuahua how much would you charge?
2. If a customer has a 65 pound Labrador how much would you charge?
3. Define the variables:
4. Write a piecewise function for dog walking business, including the conditional statement for the variables.
5. Graph the function.

PLEASE ANSWER ALL FIVE PLEASEEAAAA

Answers

1: $5
2:$9
3. Variables and letters and symbols that represent unknown values

LCM of 18 , 25 , 35, 40 ,80 81 , and 72​

Answers

Answer:

the LCM of 18 25 40 80 81 and 72 is 226800

i hope this helps you

Step-by-step explanation:

by which method

prime factorization , division or defination method

On a coordinate plane, a line goes through (negative 2, negative 4) and (2, 2). a point is at (negative 3, 1). what is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)? y – 1=negative three-halves(x 3) y – 1=negative two-thirds(x 3) y – 1= two-thirds(x 3) y – 1= three-halves(x 3)

Answers

The equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)

Equation of a line

A line is the distance between two points. The equation of a line in point-slope form is expressed as:

y - y0 = m(x-x0)

Given the coordinates (-2, -4) and (2, 2) on the line, the slope is expressed as:

Slope = 2-(-4)/2-(-2)

Slope = (6)/4

Slope = 3/2

Find the equation of the line

y -(1) = 3/2(x-(-3))

y - 1 = 3/2(x+3)

Hence the equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)

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Answer:

d

Step-by-step explanation:

5b+a-2c when a=2,b=1&c=3

Answers

5b+a-2c when a=2,b=1&c=3

5(1) + 2 - 2(3)

5 + 2 - 6

7-6

Answer: 1

Mr. T has 784 marbles. he has 263 marbles more than Indie. how many marbles do they have altogether?

Answers

Answer:

Step-by-step explanation:

784-263=521

784+521=1305

answer=1305

What are the coordinates for point b?


a. (7, 0)
b. (0, 7)
c. (0, 8)
d. (1, 7)

Answers

The coordinates for point B are (a) (7,0)

Complete Question

Point B is located 7 units right of the origin. What are the coordinates for point b?

How to determine the coordinates?

The origin is located as:

(0,0)

From the question, we understand that:

B ⇒ 7 unit right of origin

This means that:

B = (0 + 7, 0)

Evaluate the sum

B = (7,0)

Hence, the coordinates for point B are (a) (7,0)

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Answer:a

Step-by-step explanation:

Brian wants to fence in his triangular plot of farm land that measures 1.1 by 1.5 by 2.2 miles. Determine the angles at which the fences of the three sides will meet. 1.1 mi A 1.5 mi 2.2 mi B Rounding each angle to m/A 125 X = COMPLETE m/Ba DONE degrees​

Answers

The angles at which the fences will meet is 27 , 38 ,114 degree.

What is a Triangle ?

A triangle is  a polygon with three sides , three angles and three vertices.

It is given that the triangle has sides

1.1 miles * 1.5 miles * 2.2 miles

The law of cosines can be used to calculate the angle

a² = b² + c² -2bc cosA

1.1²  = 1.5² + 2.2² -2 *1.5 *2.2 cosA

A = 27.01 degree

Similarly

b² = c² +a² -2ac cosB

1.5²  = 2.2² +1.1²  -2 * 2.2*1.1 cos B

B = 38.27 degree

By angle sum property

Angle C = 180-38.27-27.01

C = 114.72 degree

Therefore , the angles at which the fences will meet is 27 , 38 ,114 degree.

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Determine whether the given graph is a function or not.

Answers

Answer:

function

Step-by-step explanation:

The graph shows a function since it passes the vertical line test.



15. 3x-5=3
16. 3(x-2) = 4(x + 3)
17. +3=
18. 2==
19. 4-2-3
X+2
20.-2-3-3
21. 쭉 = 큭
22. 2x-5-1=3-x
3. 2x + ==3(x-1)
4. 10x-1=x+4
5. k=8k-2
6. -x + 2 = 3x-27
4
7. 1-6x = -x +
B.
9. 2-(x + 1) = 2 + 5x
D. 2(1-x) = 10 - (x + 2)
. 9x - (4x - 5) = 3x - 11
x-9=3(x + 1)
-xx-2)-4=x+6▸
+ 2x
6(5-4x) = -4(5x + 11)

Answers

Answer:

tgnjfgznjE XVNJ

Step-by-step explanation:

rtjtejWEJAREfnndzjt

Answer:

15. 2.66

16. - 18

17. Impossible

18. Impossible

19. - 1

20. - 8

21.

Find the value of x.

Answers

Answer:

x=21°

Step-by-step explanation:

40°+5x+14°+x=180°

5x+x=180°-40°-14°

6x=126°

x=21°

Answer:

x = 21

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

x + 40 + 5x+14 = 180

Combine like terms

6x+54 =180

Subtract 54 from each side

6x+54-54 = 180-54

6x =126

Divide each side by 6

6x/6 =126/6

x = 21

can someone help me?

Answers

Answer:

-6

30

22

8x² + 18x + 4

8x² - 2x - 6

Step-by-step explanation:

f(x) = 8x² + 2x - 6

f(0) = 8(0²) + 2(0) - 6 = -6

f(2) = 8(2²) + 2(2) - 6 = 32 + 4 - 6 = 30

f(-2) = 8 × (-2)² + 2(-2) - 6 = 32 - 4 - 6 = 22

f(x + 1) = 8(x + 1)² + 2(x + 1) - 6 = 8(x² + 2x + 1) + 2x + 2 - 6 = 8x² + 18x + 4

f(-x) = 8(-x)² + 2(-x) - 6 = 8x² - 2x - 6


the number of cows in the field minus 12...

Answers

Answer:

maybe minus 12 there was no number of cows

Answer:

x - 12

Step-by-step explanation:

x represents the number of cows since we do not know the number

then "minus 12"

bada bing bada boom

Find the value [[23]] (step functions) helpp pls im so confused if you could also explain it :3

Answers

I assume [[x]] stands for "the largest integer smaller than or equal to x".

If x is already an integer, then x itself satisfies the definition. 23 is an integer that is equal to 23. So [[23]] = 23.

PLEASE HELP
using the data that was collected,
determine the experimental probability of each outcome of
the die over the course of three games and write as a fraction, decimal, and percentage.

Answers

When the dice is rolled 14 times then from the given data the probability of 1,2,3,4,5,6 is 3/14,1/14,4/14,1/14,3/14,2,14.

Given Roll of dice and outcomes from 1 to 14 is 1,3,5,4,5,3,3,1,3,5,6,1,6,2.

From the given collected data we can find out number of times each number came when the dice is rolled.

Number of times 1 came=3

Number of times 2 came=1

Number of times 3 came=4

Number of times 4 came=1

Number of times 5 came=3

Number of times 6 came=2

The probabilities are in fraction form:

P(1)=3/14

P(2)=1/14

P(3)=4/14

P(4)=1/14

P(5)=3/14

P(6)=2/14

The probabilities in decimal form:

P(1)=0.21

P(2)=0.07

P(3)=0.28

P(4)=0.07

P(5)=0.21

P(6)=0.14

The probabilities in percentage:

P(1)=21%

P(2)=7%

P(3)=28%

P(4)=7%

P(5)=21%

P(6)=14%

Hence the probabilities are 3/14,1/14,4/14,1/14,3/14,2,14.

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Find the product of (x − 5)2.
Group of answer choices

x2 + 10x + 25

x2 − 10x + 25

x2 − 25

x2 + 25

Answers

Answer:

x² - 10x + 25

Step-by-step explanation:

The formula for squaring any binomial (an expression with two terms) is:

(a ± b)² = a² ± 2ab + b²

Let a = x and b = 5.

∴ Substituting:

   (x - 5)² = x² - 2(x)(5) + (-5)²

               = x² - 10x + 25

which graph correctly represents 3x+y > 7

Answers

Answer:

What graph? add a photo?

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