Question #1:
Select all the statements that are true of a least-squares regression line.
The regression line maximizes the residuals between the observed values and the predicted values.
The slope of the regression line is resistant to outliers.
In the equation of the least-squares regression line, ġ is an observed value when x is known.
The sum of the residuals is always close to zero.
The coefficient of determination measures how much of the variation in the y-values is explained by the regression line.
In the equation of the least-squares regression line, is a predicted value when x is known.

Answers

Answer 1

Answer:

1. The sum of the residuals is always close to zero.

2.The coefficient of determination measures how much of the variation in the y-values is explained by the regression line.

3. In the equation of the least-squares regression line, y hat is a predicted value when x is known

Step-by-step explanation:

The least square regression line is a line that makes distance from data points to the regression line to be as minimal as possible. This line is a best fit for the data points. Let's say we have a collection of numbers and a scatter plot, this line is a line that exists and best fits the data.

Therefore, the least square regression line minimizes sum of squared error to be close to zero. R² measures the extent to which variations in the value of y is explained by the regression line. In the equation of this line, y hat is a predicted value when x is known.

Answer 2

The least square regression line minimizes the sum of squared error such that the sum of the residual is zero or very close to 0. Hence, the true statements from the options given are :

Sum of residuals is always close to 0

The coefficient of determination measures how much of the variation in the y-values is explained by the regression line.

[tex]y_{hat} [/tex] is the predicted value when x is known.

The least square regression Line is used to create a Linear model in the form y = bx + c

The Coefficient of determination R² gives the proportion of the variation explained by the regression line.

The predicted value of y is obtained using the model of the Least Square Regression Line for a given value of x.

Outlier values often affects the performance and accuracy of the Least Square Regression Line.

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Related Questions

simplify the equation 3(u-6)-7u

Answers

Answer:

-4u-18

Step-by-step explanation:

A high school basketball team won 36% of the games that it played last season. The team won exactly 9 games last season. What is the total number of games that the team played?

Answers

Answer: REMEMBER TO RATE 5 STARS AND GIVE ME A HEART, THANKS!!!

The High Shcool Basketball team played a total of 25 games.

Step-by-step explanation:

You take the 9 from the games they won last season and divide it by .36 and that will give you the answer of 25. So 25 is the total games the "High School Basketball Team" won. If you want to double check your answer you can take the answer of 25 and times it by .36 which will equal 9.

3/8 + 1/8 - 1/6 + 1/4 =

Answers

0.58333333 is the answer
3/8+1/8=4/8=1/2
1/2+1/4=3/4 since denominator is 4 and numerator is (2*1)+(1*1)=3
3/4-1/6=7/12 since denominator is 12 and numerator is (3*3)-(2*1)=7
Final answer is 7/12

24,40 find the GCF i want the gcf of 24​

Answers

Answer:

The GFC would be 8

Step-by-step explanation:

12 - 1,2,3,4,5,6,7,8,12,24

40 - 1,2,4,5,8,10,20,40

Can someone tell me if I’m right?

Answers

Answer:

yesssssssssssssssssssss

Caroline spent $41.00 on groceries after using coupons and store discounts. Without the coupons and store discounts, the groceries would have cost $50.00. What is the total discount Caroline received at the grocery store? A. 22% B. 6% C. 9% D. 18% HELP PLEASE I DONT WANNA FAIL MY QUIZ :(=

Answers

Answer:

18% trust me i got you bro

Step-by-step explanation:

What is the answer to 1/7 x 8

Answers

Answer:

8/7

Step-by-step explanation:

ANSWER AS SOON AS POSSIBLE PLEASE! Jessica has $19. She buys 4 apples for x dollars each. Levi has $30 and buys 7 apples for x dollars each. Write an expression of how much money altogether they would have left?

Answers

Answer: 49-11x

This is the same as -11x+49

=========================================================

Explanation:

1 apple = x dollars

4 apples = 4x dollars, after multiplying both sides by 4

If Jessica buys 4 apples, then she spends 4x dollars.

Jessica has $19, so she'll have 19-4x dollars leftover after buying those four apples.

Similarly, Levi will have 30-7x dollars leftover when buying 7 apples for x dollars each.

Add up the leftover amounts to get...

(jessica's leftovers) + (Levi's leftovers)

(19-4x)+(30-7x)

19-4x+30-7x

(19+30)+(-4x-7x)

49-11x

This is the same as -11x+49 since you can think of 49-11x as 49+(-11x), and we can add two terms in any order we want.

---------------------------

An alternative viewpoint

Pool up Jessica's and Levi's amount they start with to get 19+30 = 49 dollars

Jessica buys 4 apples and Levi buys 7 apples. In total, this is 4+7 = 11 apples. At x dollars an apple, they spend 11x dollars. So they'll have 49-11x dollars leftover after buying those 11 apples.

is the product of which of the following two radical numbers?

Answers

Answer:

The third line

Step-by-step explanation:

let's see all choices by solving them

1) The first one

[tex] \sqrt[ 3]{ - 5} \sqrt[3]{3} = \sqrt[3]{ - 15} (negative \: times \: positive \: is \: negative)[/tex]

2) The second one

[tex] \sqrt[3]{5} \sqrt[3]{ - 3} = \sqrt[3]{ - 15} (positive \: times \: negative \: is \: negative)[/tex]

3) The third one

[tex] \sqrt[3]{ - 5} \sqrt[3]{ - 3} = \sqrt[3]{15} (negative \: times \: negative \: is \: positive) \: this \: choice \: is \: the \: answer \: because \: the \: question \: asks \: positive \: radical \: number[/tex]

4) The fourth one

[tex] \sqrt[3]{ - 15} \sqrt[3]{1} = \sqrt[3]{ - 15} (any \: number \: multiply \: by \: one \: is \: it \: self [/tex]

hope u like it ❤️‍‍❤️‍‍❤️‍

For any question comment me

Answer:

Step-by-step explanation:

this mean answer is b

A sock drawer contains 5 different colors of socks. It has 20 white, 10 black, 10 gray, 6 red, and 4 purple. If you reach into the drawer and choose a sock randomly, what is the probability you will get a black sock? P (black) = StartFraction Number of favorable outcomes over Total number of outcomes EndFraction P(black) =

Answers

20+10+10+6+4=50 socks in total, therefore 10/50 =1/5

Answer:

1/5

Step-by-step explanation:

Total number of socks = 50( 20+10+10+6+4)

Number of black socks = 10

Therefore, 10/50= 1/5

the probability of getting a black sock is 1/5.

is 10/18 in decimal form a terminates or repeating decimal

Answers

Hey there! I'm happy to help!

To write a fraction as a decimal, you simply divide the numerator by the denominator.

10÷18=0.55555.... (the 5s never end!)

We see that the 5s repeat forever. This means that this is a repeating decimal.

Have a wonderful day! :D

which graph shows the function f(x)=x with an input of (f(x-3)
please help me asap!!​

Answers

Answer:

Step-by-step explanation:

B

The correct graph of the function is shown in option (B).

What is graph?

A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.

The given function is,

f(x) = y = x          (1)

To find the graph of f(x -3),

Substitute x = x- 3 in equation (1),

y =  x- 3

The slope of the graph is 1,

And the y intercept at x = 0,

y = -3

So the graph of the function y = x - 3 can be plotted as,

Hence option (B) is correct option.

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PLease school is almost over HELP 30x+60x=?

Answers

Answer:

[tex]90x[/tex]

Step-by-step explanation:

[tex]30x+60x=?[/tex]

If you want to solve this easily, you can just remove x and add 30x + 60x.

[tex]30+60[/tex]

We know that 30 + 60 is 90. So we will add x to 90.

[tex]90x[/tex]

Now you have your answer!

Hope this helps!

Answer:

90x

Step-by-step explanation:

To solve, add 30+60.

30 + 60 is equal to 90.

Add x and it will be 90x.

That is your answer!

Hope I helped!

mZDEF = 5x – 3 and mZFEG=2x+15

Answers

Answer:

x = 24

Step-by-step explanation:

Step 1:

5x -3 + 2x + 15 = 180

Step 2:

7x + 12 = 180

Step 3:

7x = 168

Answer:

x = 24

Hope This Helps :)

The letter that form the word MISSISSIPPI are placed in a bowl. What are the odds of choosing a "P"

Answers

Answer:

11

Step-by-step explanation:

the answer is 11 because there are 11 words and 2 ps

The answer is odd is 9/2

3^2 x^4 y^6 Which number is a base in the following expression?

Answers

Answer:

I believe it is 3

Step-by-step explanation:

That is the only number variable while the others are letter variables

Find the simplified product:[tex]\sqrt{2x^{3} }-\sqrt{18x^{5} }[/tex]

Answers

Correct Question: Find the simplified product: [tex] \sqrt{2x^3}*\sqrt{18x^5} [/tex]

Answer:

[tex] 6x^4 [/tex]

Step-by-step explanation:

Based on the rules of radicals, since [tex] \sqrt{2x^3} [/tex] and [tex] \sqrt{18x^5} [/tex] has the same index (square root), therefore:

[tex] \sqrt{2x^3}*\sqrt{18x^5} = \sqrt{2x^3 * 18x^5} [/tex]

To simplify this, multiply their bases together, and add their exponents.

[tex] = \sqrt{2*18x^{3+5} [/tex]

[tex] = \sqrt{36x^{8} [/tex]

Simplify further

[tex] = \sqrt{36}*\sqrt{x^8} [/tex]

[tex] = \sqrt{6*6}*\sqrt{x^4*x^4} [/tex]

[tex] = 6x^4 [/tex]

Answers For Entire Assignment:

--> Page 1: D, C

Page 2: B, C

Page 3: D

Page 4: B

Page 5: A, C

Page 6: B,C

Trust The Milk. Get that 100.

The perimeter of a triangle is 105 cm. If each of the two legs is exactly twice the length of the
base, how long is each leg?

Answers

Greetings from Brasil...

According to the question of the statement, we can conclude that

PQ = 2B

QR = 2B

PR = base = B

Perimeter = P = 105

P = PQ + QR + PR

105 = 2B + 2B + B

B = 21

PQ = 2B = 42QR = 2B = 42

BRAINLIEST ASAP! PLEASE HELP ME :)
I need help with Part 2 of the question.

Answers

Steps to solve:

6a + 12 = 3(2a + 1) + 5

~Distribute right sides

6a + 12 = 6a + 3 + 5

~Simplify

6a + 12 = 6a + 8

~Subtract 12 to both sides

6a = 6a - 4

~Subtract 6a to both sides

0 = 4

Therefore, there are no solutions.

Best of Luck!

100+5987+7899=please help me please ✌️

Answers

Answer:

13986

Step-by-step explanation:

hmmm... have you tried using a calculator

Answer:

   The answer is 13986

Step-by-step explanation:Because 100+5987 is

5997 then 5997+7899 is

13986.

HOPE IT HELPS!

What are two things we look for in an equation that can tell us what's NOT in it's domain?​

Answers

Answer:

1. Value for which denominator is 0.

2. Value for which we get negative sing inside the root or log.

Step-by-step explanation:

Domain is the set of input values.

If a function is not defined for a set of value then they are NOT in it's domain.

Two we look for in an equation that can tell us what's NOT in it's domain :

1. Value for which denominator is 0.

2. Value for which radicand is negative because negative values inside the square roots are not real.  Value for which log values are negative because log is not defined for negative values.


Find the missing exponent.

Answers

Answer:

-b^14 i think this is te answer but i am also consused

If (42)p = 414, what is the value of p? 7 8 12 16

Answers

Answer:

the correct answer is not there

Step-by-step explanation:

I'm not sure if "7, 8, 12, and 16" were answer choices but none of those are correct

Step-by-step explanation:

to find the value of p you'd need to divide 441 by 42 and the answer is 9.9

amy is scuba diving at a position 55.15 feet below sea level. she ascends 1.5 feet each minute for 15 minutes. what is amys position compared to the sea level after 15 minutes

Answers

Answer:

32.65 feet below sea level

Step-by-step explanation:

1.5x15=22.5

55.15-22.5=32.65

hope that helps

On a map, 2.5 inches represents 300 miles. How many miles are represented by 6 inches?
А .05 miles
00
.40 miles
С
600 miles
D
720 miles

Answers

Answer:

D. 720 miles

Step-by-step explanation:

First, we know that 2.5 inches represents 300 miles. This means that we have to find out how much 1 inch represents in miles. So, we take 300/2.5. This results in 120. So, 1 inch represents 120 miles. Then, we take 6*120 which gets us 720 miles.

A map of 720 miles represented by 6 inches.

It is given that 2.5 inches represent 300 miles.

It is required to find the miles represented by 6 inches.

How many miles are represented by 6 inches?

First we have to find how many miles we get in one inch. Then we find in how many miles does 6 inches have.

In  2.5 inches, the map represents 300 miles.

In 1 inch, a map represents 300/2.5 miles which are equal to 120 miles.

So, in 6 inches, a map represents (120×6) miles which are equal to 720 miles.

Thus in 6 inches, a map represents (120×6) miles which are equal to 720 miles.

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1. The average distance from the Earth to the moon is about 384,000 kilometers. What is this number written in scientific notation? ​

Answers

Answer:

3.84 x  10^5

Step-by-step explanation:

Answer:

3.84x10^5

Step-by-step explanation:

count how many times the decimal was moved to the right and that is the exponent

Write 80% as a fraction in Simplest form

Answers

Answer:

Step-by-step explanation:

80/100 = 8/10= 4/5

I NEED HELP PLEASE HELP ME.

Answers

(a) is 8 i believe
(b) would be 6

Answer:

(a)  8

(b)  6

:>

What is the square root of 45 rounded to the nearest hundredth

Answers

Answer:

your answer is fifteen

(-2ab^-5)(4a^-2b)^-2

Answers

Answer:

  -a^5/(8b^7)

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  a^-b = 1/a^b

__

  [tex](-2ab^{-5})(4a^{-2}b)^{-2}=(-2ab^{-5})(4^{-2}a^{-2(-2)}b^{-2})\\\\=\dfrac{-2}{16}a^{1+4}b^{-5-2}=\boxed{-\dfrac{a^5}{8b^7}}[/tex]

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