What is the equation of the least squares regression line for the data set?

What Is The Equation Of The Least Squares Regression Line For The Data Set?

Answers

Answer 1

The equation of the least squares regression line for the data set is (b) ŷ = -2.984x + 112.38

How to determine the equation of the least squares regression line for the data set

From the question, we have the following parameters that can be used in our computation:

Volunteer 15 11 22 35 18 41 27 18

Trees 77 99 4 11 44 14 2 90

Using a graphing calculator, we have the following calculation summary

Sum of X = 187Sum of Y = 341Mean X = 23.375Mean Y = 42.625Sum of squares (SSX) = 741.875Sum of products (SP) = -2213.875

The regression equation is represented as

ŷ = bX + a

Where

b = SP/SSX = -2213.88/741.88 = -2.98416

a = MY - bMX = 42.63 - (-2.98*23.38) = 112.37978

So, we have

ŷ = -2.98416X + 112.37978

Approximate

ŷ = -2.984x + 112.38

Hence, the equation  is ŷ = -2.984x + 112.38

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Related Questions

Circle Review Worksheet


Please help

Answers

Answer/Step-by-step explanation:

Recall: circumference of a circle, C = πd or C = 2πr

Where d = diameter

Radius (r) = ½ of diameter

1. Radius (r) = 3 cm

Diameter (d) = 2(3) = 6 cm

Circumference = πd = π*6

C = 18.8495559 ≈ 18.8 cm (nearest tenth)

2. Radius (r) = 6 in.

Diameter (d) = 2(6) = 12 in.

Circumference = πd = π*12

C = 37.6991118 ≈ 37.7 in. (nearest tenth)

3. Radius (r) = 9 mm

Diameter (d) = 2(9) = 18 mm

Circumference = πd = π*18

C = 56.5486678 ≈ 56.5 mm (nearest tenth)

4. Radius (r) = ½(4.8) = 2.4 cm

Diameter (d) = 4.8 cm

Circumference = πd = π*4.8

C = 15.0796447 ≈ 15.1 cm (nearest tenth)

5. Radius (r) = ½(7) = 3.5 cm

Diameter (d) = 7 cm

Circumference = πd = π*7

C = 21.9911486 ≈ 22.0 cm (nearest tenth)

6. Radius (r) = ½(14) = 7 cm

Diameter (d) = 14 cm

Circumference = πd = π*14

C = 43.9822972 ≈ 44.0 cm (nearest tenth)

Please help! 10 points

Answers

Answer:

1 real soultion

Step-by-step explanation:

For
a
x
2
+
b
x
+
c
=
0
, the values of
x
which are the solutions to the equation are given by:
x
=

b
±

b
2

4
a
c
2
a
Substituting
9
for
a
;
6
for
b
and
1
for
c
gives:
x
=

6
±

6
2

(
4

9

1
)
2

9
x
=

6
±

36

36
2

9
x
=

6
±

0
2

9
x
=

6
±
0
2

9
x
=

6
18
x
=

1
3

right angle
The sum of yo and 50° is a right
find the value of yo. [4]
then​

Answers

Answer:

The angle yo measures 40º.

Step-by-step explanation:

Given that the sum of yo and 50 ° is a right angle, to find the value of yo the following calculation must be performed, knowing that a right angle measures 90 °:

50 + yo = 90

yo = 90 - 50

yo = 40

Therefore, the angle yo measures 40º.


Find the distance between the points.
(−3,− 8), (6, – 8)
The distance is

Answers

To calculate the distance between two points:

We apply the following formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

The points are:

(x₁,y₁) = -3, -8(x₂,y₂) = 6, -8

We substitute data and solve:

[tex]\bf{d=\sqrt{(6-(-3))^2+(-8-8(-8))^2 } }\\ \\ \bf{ d=\sqrt{9^2+0^2}=\sqrt{81+0} }\\ \\ \bf{d=\sqrt{81}=9 }[/tex]

The distance between the points (−3,− 8), (6, – 8) is 9.

solve for 30 points and brainliest
7³(8)÷3(2)-1800.3 repeating

Answers

Answer:

29.033333

Step-by-step explanation:

Answer: -1342.966 repeating

Step-by-step explanation: Pemdas≈7^3(8)/6-1800.3=(343)(4)/(3)-1800.3=457.333-1800.3=1342.96

Combine the like terms to create an equivalent expression:
y - (-3y)

Answers

When you subtract a negative, you change to add a positive. This will end up being y+3y which is 4y.

help me!! asap!! please!!

Answers

Answer:

y^6/x^4

Step-by-step explanation:

It's the last answer because 1/x^4*y^6 is equal to y^6/x^4

Write the first five terms of the arithmetic sequence.
Please show work. Scam answers will be reported.

Answers

Answer:

Step-by-step explanation:

Can y’all help me on question 6?!

Answers

Answer:

B is the answer- positive y and negative x

नीचे दिर गर दक्वि व्यंजनी वाले दो दो शब्द लिखिए
म्म​

Answers

Answer:

give Ff id let's play ......

I don’t know what are you trying to say but anyway have a nice day

look at the picture pls pls pls i need help

Answers

Answer: 39.5 ft^2

Step-by-step explanation:

1. Find the area of the rectangle using the formula length * width

8 ft * 4 ft = 32 ft

2. Find the area of one of the triangles (the top one) using the formula 1/2(b*h)

2 ft * 3 ft * 0.5 = 3 ft

3. Find the area of the other triangle (the bottom one) using the formula 1/2(b*h)

3 ft * 3 ft * 0.5 = 4.5 ft

4. Add 'em all up to get the total area

32 ft + 3 ft + 4.5 ft = 39.5 ft ^2
It’s the second answer I’ve did this problem

There are three section of class 10th in Kendriya Vidyalaya Delhi Cantt the total number of strain in class 10th 400 the marks obtained by the students in pre board exam are presented in the table as given below the mean of the marks obtained in 53
Marks obtained=0-20,20-40,40-60,60-80,80-100
Number of student 15,18,21,29,p
(1) how many students got marks between 80-100?
a)21 (b)38 (c) 17 (d)26 (2) what is the lower limit of modal class a)20 (b)40 (c)60 (d) 80 (3) what is the value of modal marks
(a)58 (b)62 (c) 65 (d) 68 (4) what is the value of {fixi? (a)2900 (b) 5300 (c) 1500 (d) 100
(5) what is the upper limit of the median class?
(a) 20 (b) 40 (c) 60 (d) 80

2
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amitnrw
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Given :
Marks obtained= 0-20,20-40,40-60,60-80,80-100
Number of student 15 , 18, 21, 29, p
mean of the marks obtained is 53
To Find : (1) how many students got marks between 80-100?
a)21 (b)38 (c) 17 (d)26 (2)
what is the lower limit of modal class a)20 (b)40 (c)60 (d) 80

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find the 18th term of the Arithmetic progression given 5,8,11,14,...​
-4 se bade koi do purnank likhiye
A dealer sold three-fourths of his article at gain of 20% and the remaining at cost price. Can you find the gain earned by him in the whole
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Answers

Therefore ,the top limit of the normal class of three parts of mean class 10th is therefore 60, and the median class is 40–60.

Define mean.

Simply average a collection of three or more numbers yields the phrase "mean." The median method, which employs the maximum of a group of products, and the arithmetic average approach, which uses the sum of both the series' values, are two ways to determine the mean for just a given set of numbers.

Given:

Grades received:

X   f   fi   xi

0-20,     10  15   150

20-40,  30  18   540

40-60, 50 21   1050

60-80, 70 29 2030

80-100 90 p   90p

Total: 3770 + 90p + 83p

Mean (3770 plus 90 pi)/(83 plus pi) = 53

=> 3770 + 90p = 83 * 53 + 53p

=> 37p = 629

=> p = 17

17 students received scores in the 80–100 range.

f = 29 and modal class 60-80

minimum of modal class 60

=> 60 + 20 * 8/20

=>68

68 is the modal marks value.

=> ∑fixi = 3770 + 90p = 3770 + 90(17) = 5300

=> 100/2 = 50

60 is the maximum median class for 3 phases of class 10 with a median class of 40–60.

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Ann 's car can go 132 miles on 4 gallons of gas. During a drive last weekend, Ann used 5 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used.

Answers

Answer:

Ann traveled 165 miles on 5 gallons of gas

Step-by-step explanation:

First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.

What is the value of k and why

Answers

Answer:

b is the answer

Step-by-step explanation:

The value of k in the equation sin (k - x) = cos (x) would be k = π/2

Given that,

An expression is defined as,

sin (k - x) = cos (x)

Used the concept of trigonometry formula which stated that,

sin (90 - θ) = cos (θ)

Here, the expression is given as,

[tex]sin (k - x) = cos (x)[/tex]

Substitute k = π/2 in the above equation,

[tex]sin (\dfrac{\pi }{2} - x) = cos (x)[/tex]

Apply the above formula,

[tex]\text {cos x } = \text {cos x }[/tex]

So, the value of k is π/2.

Hence, option c is true.

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What is the slope of a line parallel to the line whose equation is3x−4y=8?
A:-4/-3
B:-3/-4
C:3/4
D:4/3

Answers

Answer:

i think 3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Please help meeee!!!!!!!!!!!!!!

Answers

Answer:

c

Step-by-step explanation:

How much is the monthly amortization on an automobile loan of ₱ 900,000 to be amortized over a 5-year period at a rate 9.5% compounded monthly?

Answers

The monthly amortization on the automobile loan, given the loan amount, the period, and the compounding frequency, is ₱ 18, 901.68

How to find the amortization ?

The monthly amortization is constant so it will be an annuity. Seeing as we have the loan amount, this means that the present value of an annuity formula can be used to find the monthly amortization.

First, find the period in months:

= 5 x 12 months a year

= 60 months

The interest in months :

= 9 . 5 % / 12 months per year

= 9.5 / 12 %

The monthly amortization is:

= Loan amount / ( Present value interest factor of annuity, 60 periods, 9.5 / 12 %)

= 900, 000 / 47.614827336156

= ₱ 18, 901.68

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A researcher claims that 45% of U.S. adults think that the IRS is not aggressive enough in pursuing people who cheat on their taxes. You believe the true percentage is more than 45%. To test this, you take a simple random sample of 500 U.S. adults and find that 245 of them say the IRS is not aggressive enough.

Required:
a. What's the minimum population size required?
c. How many successes were there?
c. Test at 0.01 significance.

Answers

I’m just tryna get up my bag yurt

Answer:

a) Then minimum sample size is  n = 12

b) We got  245 successes  

c)p-value is greater than 0,01 Therefore we accept H₀.

We can´t support our claim

Step-by-step explanation:

a) The minimum population size required to use the approximation of binomial distribution to normal distribution can be obtained from:

n*p > 5      p  = 0,45     0,45 * n  >  5     n > 11  

Then minimum sample size is  n = 12

b)  We got  245 successes  out of  n = 500

x =  245       p  =  245/500    p  = 0,49

q  =  1 - p     q  =  1  - 0,49    q  =  0,51

Test Hypothesis:

Null Hypothesis                        H₀      p  =  0,45

Alternative Hypothesis            Hₐ      p  > 0,45

Alternative Hypothesis indicates that the test is a one tail test to the right

z( s)  =   (  p  -  0,45  )  / √ p*q/n

z( s)  =   (  0,49 - 0,45 ) / √ 0,49*0,51 / 500

z( s)  =  0,04 /  0,0223

z(s)  =  1,793

p- value for  z = 1.79  is from z-table    p-value = 0,0367

Comparing p-value with the significance level  0,01 we see that

p-value is greater than 0,01 Therefore we accept H₀.

We can´t support our claim

Erica drove 200 miles and Steve drove 212.0 kilometers. Who drove
farther? (1km = 0.62 mile)

Answers

Answer:

212×0.62=131.44 so Erica drove farther.

Answer:

The answer is Erica drove farther.

Step-by-step explanation:

212 kilometers is 131 miles and Erica drove 200 miles so Erica drove further.

Eumin pays $3.56 for 4 juice boxes.

How much would Eumin pay for 7 juice boxes?

Enter your answer in the box.

Answers

Answer:

No, You divide 3.56/4 and you get 0.89 and then after that you multiply it by 7 so you do0.89x7=6.23

Step-by-step explanation:

The relative frequency table below displays the proportion of colors of cars for sale at a dealership.

What proportion of cars are yellow?
0.04
0.1
0.15
0.4

Answers

Proportion of cars which are yellow -

= 1 - (0.24 + 0.20 + 0.15 + 0.12 + 0.15 + 0.10)

= 1 - 0.96

= 0.04

Answer:

A) 0.04

Step-by-step explanation:

edge 2023

Rewrite the following sentence in the passive voice:The legal advisor warned the man not to use certain emojis in responding to Messages.​

Answers

The man was warned not to use certain emojis in responding to messages.

The second side of a triangular deck is 5 feet longer than the shortest side. The third side of the deck is 5 feet shorter than twice the length of the shortest side. If the
perimeter of the deck is 60 feet, what are the lengths of the three sides?
The shortest side of the deck is feet.
(Simplify your answer.)

Answers

Answer:

Step-by-step explanation:

60= s+5  + 2s-5 + s

60 = 4s

15 = s

the short side is 15

the 2nd side is 20

the 3rd side is 25

What is the function?

Answers

Answer:

f(x)  =  x² + 6      for x  <  3

and

f(x)  = -x +  6      for x  ≥  3

Step-by-step explanation:

you have to break it up into two separate parts

for x less than 3 is a parabola x²  where y = 6 when x = 0

f(x)  =  x² + 6      for x   < 3

and

for x ≥ 3 the function is a line    two points (3, 3) and (0, 6)

the slope m = (3 - 6) / (3 - 1)   =  -1

y intercept = 6  when x = 0

f(x)  = -x +  6      for x ≥ 3

Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of video he uploads?

Answers

The average like for each minute of the video that he uploads will be 2,000 likes.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The total number of likes is calculated as,

Like / View = 1 / 5

Like / 9,000,000 = 1 / 5

Like = 1,800,000

The total number of minutes is calculated as,

Time length = (9,000,000 / 150,000) x 15

Time length = 60 x 15

Time length = 900 minutes

The average like for each minute of the video that he uploads will be given as,

⇒ 1,800,000 / 900

⇒ 2,000

The average like for each minute of the video that he uploads will be 2,000 likes.

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The complete question is given below.

Dagogo uploads 3 videos on his channel every month. Each video averages 15 minutes in length and gets an average of 150,000 new views. The average ratio of likes-to-views of Dagogo's videos is 1: 5. Dagogo wants to reach a total of 9,000,000 views on his channel.

Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of the video he uploads?

To construct an angle that has a measure of 55°, another ray can be drawn that

starts at point W and passes through —


Your answer:


A. X

B. M

C. S

D. Not here


38 points!

Answers

The answer is c because

Parent function Math test, (give me the answers please).

Answers

Answer:

Step-by-step explanation:

no thx for 50points

Ed is on a road trip. He has already traveled 212 miles and is driving at a rate of 65 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 675 total miles?

Answers

675/65 10.385
675-212 463
463/65 7.123
So about 7 hours left

1,3,5,7,9, ...? please tell me here the answer here please ​

Answers

Answer:

11

Step-by-step explanation:

1

1 + 2 = 3

3 + 2 = 5

5 + 2 = 7

7 + 2 = 9

9 + 2 = 11

11. the pattern seems to be +2

Directions: Find the sum for each of the following arithmetic series below. Use the summation
formula to find the sums.
1. A series with six terms, the first term is five, and the common difference is five.
2. A series with six terms, the first term is nine and the common difference is twelve.
3. A series with five terms, the first term is 5.7 and the common difference is 1.4.

Answers

Therefore , the solution to the given problem of arithmetic mean comes out to be 1. 105, 2. 234 and 3. 42.5

Arithmetic mean: What is it ?

The combination of the amount of all of the values in a list and the number of items in the that list, split by both, is the arithmetic average or mean of the group. The mathematical progression is same to this. This mean of the digits 5, 7, and 9 is 4,

For example, as expression 5 + 7 + 9 is 21, and 21 divided by 3 [there are actually three numbers] equals 7.

Given:

1) There are six terms in AP, with terms a and d each being worth five points.

2) There are 6 terms in AP, with terms 9 and 12 respectively.

3) In AP, there are five terms, where an is 5.7 and d is 1.4.

4) In AP, = 20, t21 = 400

5) In AP, t100 = 99 and a = 0

Find the sum of the terms in the arithmetic series.

As is common knowledge, Sn in the AP equals n/2[2a+(n-1)d]

To determine: the total terms in the arithmetic series

The AP sum of n words is well known. Sn = (n-1)/2[2a+(n-1)d]

1) There are 6 terms in the case where a = 5 and d = 5, as shown by S6 = [2(5)+(61)5] = 3[10+5(5)] = 3[10 + 25] = 3(35) = 105

2) There are 6 terms in the case where a = 9 and d = 12, where S6 = [2(9)+(61)12] = 3[18+5(12)] = 3[18+60] = 3(78) = 234

3) There are 5 terms total, with terms a = 5.7 and d = 1.4.

S5= [2(5.7)+(5—1)1.4] = 2.5[11.4+4(1.4)] = 2.5[11.4+5.6] = 2.5(17) = 42.5

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