Statistics Question. Use the Desmos graphing calculator to find the least-squares regression line for the dataset in the table:
Answers
Given:
The table of values.
To find:
The least-squares regression line for the data set in the table by using the desmos graphing calculator.
Solution:
The general form of least-squares regression line is:
[tex]\hat{y}=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
By using the desmos graphing calculator, we get
[tex]m\approx 2.55,b\approx -6.435[/tex]
Substitute these values in (i).
[tex]\hat{y}=(2.55)x+(-6.435)[/tex]
[tex]\hat{y}=2.55x-6.435[/tex]
Therefore, the correct option is A.
The graph of regression line is attached below.
The equation of regression line is [tex]y=2.55x-6.435[/tex]
Equation of regression line:A graphing calculator is a calculator device that has the ability to display plotted graphs for complex equations.
First we have to enter the given table in graphing calculator,
After entering the data given into table,
We get, m= 2.55 and b= -6.435
So that, the equation of regression line is [tex]y=2.55x-6.435[/tex]
Learn more about the regression line here;
https://brainly.com/question/26059078
Related Questions
Scientists conducting a study on global climate change want to determine if there has been an increase in the number of days per year that the temperature in El Paso rises above 100 degrees. In 1981, there were 21 days (5.75%) where the temperature was in the triple digits. The scientists want to know whether this percentage has increased. Which pairs of hypotheses is the most appropriate for addressing this question?
Answers
Answer:
The percentage maybe went up because of air pollution, and global warming
Step-by-step explanation:
These triangles are
congruent by the
triangle congruence
postulate [? ]
Answers
Answer:
Option A
Step-by-step explanation:
From the picture attached,
In the given triangles ABC and ADC,
m(∠B) = m(∠D) [Given]
AC ≅ CA [Reflexive property]
But in the absence of third property of congruence ΔABC and ΔADC can't be congruent.
Option A is the answer.
how do i find the probability of getting a red 5 or a 6 when one card is randomly selected from an ordinary deck?
Answers
Answer:
2 in 52 simplified- 1 in 26
Step-by-step explanation:
Solve for c.
a = 11 + 4b – 4c
Answers
Answer:
c would be equal to 2948. hope that helps
Answer:
[tex]c=b-\frac{a}{4} +\frac{11}{4}[/tex]
Step-by-step explanation:
[tex]a=11+4b-4c \\a-11=4b-4c\\a-11-4b=-4c\\-\frac{a}{4} +\frac{11}{4} +b=c[/tex]
Rearranging the terms to make it look cleaner, we get:
[tex]c=b-\frac{a}{4} +\frac{11}{4}[/tex]
A sphere has a volume of 36(pi) in^3. What is the surface area in terms of Pi
Answers
Answer:
la verdad que depende de la situación
Question 60/62 (3.p.)
KAH
ht
w
2011
Solve and choose the correct answer.
A water tank is in the form of a cylinder whose radiusis 2 m and length is
3.5 m. The quantity of water in litres that can be stored in the tank is
..
Answers
Answer:
Capacity of tank = 44,000 l
Step-by-step explanation:
Given:
Height of tank = 3.5 m
Radius = 2 m
Find:
Capacity of tank
Computation:
Volume of cylinder = πr²h
Volume of cylinder = (22/7)(2)²(3.5)
Volume of cylinder = 44 m³
1m³ = 1000 l
So,
Capacity of tank = 44 x 1,000
Capacity of tank = 44,000 l
What will be the total cost of treys on 2 truck when we the price of each trye is 35,00:00
Answers
Answer:
45$?
Step-by-step explanation:
Which property justifies the statement below?
a(2b+c)=a(c+2b)
a. commutative property of addition
b. commutative property of multiplication
c. associative property of addition
d. distributive property
Answers
Answer:
d. distributive property
Step-by-step explanation:
does anyone know the answer to this? 5x-(4+3x)
Answers
Answer:
2x-4
Step-by-step explanation:
5x-(4+3x)
5x-4-3x
5x-3x-4
2x-4
james has a recipe that calls for 6 cups of sugar he wants to use only 1/2 of the recipe today how much sugar will he need do you multiply or divide
Answers
answer:
he would use 3 cups of sugar and would need to multiply
step-by-step explanation:
since he only wants 1/2, we would multiply by the original amount6 X 1/2 = 3 cups of sugar
Help please will mark brainliest
Answers
Riku says that a and b have the same value in the equations 0.75(a−2)=5.25 and 34b−32=214. Is Riku correct?
Answers
Answer:
riku is is wrong
Step-by-step explanation:
divide each term by 0.75
a-2=5.25/0.75
a-2=7
a=9
34b= 214+32
34b=246
b=123/17
or 7.235
therefore both answers are different
HELP what's the distance for this question?
Answers
Answer:
[tex]Distance = 38.57ft[/tex]
Step-by-step explanation:
Given
[tex]Base = 60[/tex]
[tex]\theta = 50[/tex]
Required
The distance between the top and John
The distance is calculated using:
[tex]sin\alpha = \frac{Distance}{Base}[/tex]
Where
[tex]\alpha = 90 - \theta[/tex] --- the angle between the diagonal line and the vertical line
[tex]\alpha = 90 - 50[/tex]
[tex]\alpha = 40[/tex]
So, we have:
[tex]Sin(40) = \frac{Distance}{60}[/tex]
[tex]Distance = 60 * sin(40)[/tex]
[tex]Distance = 60 * 0.6428[/tex]
[tex]Distance = 38.57ft[/tex]
[tex]Distance = 986 * tan(38)[/tex]
[tex]Distance = 986 * 0.7812[/tex]
[tex]Distance = 770ft[/tex] --- approximated
You would like to have $10,000 in an account after eight years time. If the account earns 2.5% compounded interest yearly, how much would you have to deposit today
Answers
Answer:
You have to deposit $8,207.5 today.
Step-by-step explanation:
Compound interest:
The amount of money in yearly compounded interest, after t years, is given by the following equation:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the initial deposit and r is the interest rate, as a decimal.
You would like to have $10,000 in an account after eight years time.
This means that when [tex]t = 8, A(t) = 10000[/tex]
2.5% compounded interest
This means that [tex]r = 0.025[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = A(0)(1+0.025)^t[/tex]
[tex]A(t) = A(0)(1.025)^t[/tex]
How much would you have to deposit today?
We have to find A(0), when [tex]t = 8, A(t) = 10000[/tex]. So
[tex]A(t) = A(0)(1.025)^t[/tex]
[tex]10000 = A(0)(1.025)^8[/tex]
[tex]A(0) = \frac{10000}{(1.025)^8}[/tex]
[tex]A(0) = 8207.5[/tex]
You have to deposit $8,207.5 today.
what is the product of the Trinomial and the Binomial below
(x2+5x-2)(x-3)
Answers
Answer:
x3+2x2-17x+6.
Step-by-step explanation:
(x2+5x-2)(x-3)
= x(x2+5x-2)-3(x2+5x-2)
= x3 +5x2-2x-3x2-15x+6
Simplifying like terms:
= x3+2x2-17x+6
Peggy took a timed 30
question test. She answered
60% of the questions and
skipped the rest. How many
did she answer?
Answers
Answer: 18 questions
Step-by-step explanation:
First we want to make 60% a decimal so we divide by 100.
This gives us 0.6
Then we multiply 30*0.6=18
18 questions
What is 12 1/2 - 7 6/7?
Answers
Answer:
4 9/14
Step-by-step explanation:
Answer:
The answer is 4 9/14
I got 49 will someone double check me please?!
Answers
Answer:
m<YVX = 49°
Step-by-step explanation:
Given:
m<YVZ = 52°
m<ZVW = 36°
m<XVU = 43°
m<YVX + m<YVZ + m<ZVW + m<XVU = 180° (angles in a straight line)
m<YVX + 52 + 36 + 43 = 180 (substitution)
m<YVX + 131 = 180
m<YVX = 180 - 131
m<YVX = 49°
The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm
Raised ? rabbit.
Answers
The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm
Raised ? rabbit.
The political opinion organization hired 100 new employees, which increases its staff by 40%. What was the original number of employees?
Answers
Answer:
40(?)
I don't remember exactly if that's correct, but I hope it's right! Comment if you want the explanation
100 = 0.4x
250 employees
Check:
250 x 0.4 = 100
Will mark Brainliest! What is the value of P. Thank you!
Answers
Answer:
question of number 10 is 3
Explain why the denominator does not change when you are counting by the
unit fraction 1
··4
to reach 3
··4 .
Answers
Answer: Your splitting 1 into 4 parts and I don't think anything here tells me you need to simplify bc then it would be, 1/2, which is not 3/4. It's like having one quarter that equals 25c, 50, 75, a 1.00, but it's 0.25 and 0.75?
Step-by-step explanation:
Whoever solves this correctly will get the brainiest
Answers
Answer:
43
Step-by-step explanation:
True or false. Explain.
The volumes of a rectangular-based pyramid and a triangular-based pyramid with congruent heights and equal base areas are equal
Answers
Answer:
true
Step-by-step explanation:
What is sinK?
A. 12/13
B.13/12
C.5/13
D.5/12
Answers
Answer:
A. 12/13
Step-by-step explanation:
Remember SOH, CAH, TOA.
In this situation, the function is sine so sine= opposite/hypotenuse.
The side opposite of K is 12.
The hypotenuse is the longest side so it will be 13.
Therefore, sineK= 12/13(a)
Answer:
12/13
Step-by-step explanation:
Please help me answer this
Answers
9514 1404 393
Answer:
a) zeros: -2/3, 6
b) x < -2/3, signs: -, -; sign of product: +
-2/3 < x < 6, signs: +, -; sign of product: -
x > 6, signs: + +; sign of product: +
c) solution: x < -2/3 ∪ x > 6
Step-by-step explanation:
a) The zeros of the product are the values of x that make either factor zero. (A product is only zero if one of the factors is zero.)
3x +2 = 0 ⇒ x = -2/3
x -6 = 0 ⇒ x = 6
The zeros of the quadratic are x = -2/3 and x = 6.
__
b) For values of x left of the left-most zero, both factors are negative. For values of x between the zeros, the left factor is positive and the right factor is negative. For values of x greater than the right-most zero, both factors are positive. That is, for large negative values of x, all factors are negative. Working left-to-right, each time a zero is crossed, one factor changes sign.
__
c) The solution is where the signs of the factors match:
x < -2/3 or -6 < x
please help me out ~ 20 points
Answers
Answer:
12.5 sq. units
Step-by-step explanation:
Area of a Trapezoid Formula: (see the image attached)
7.5 + 2.5 = 10
10/2 = 5
5(2.5) = 12.5
So, the area of the trapezoid is 12.5 sq. units.
there are 120 children standing in a line,every third gets a rubber, every fourth child gets ruler and every fifth gets a book. in what position is the first child that gets all 3 items?
Answers
Answer:
60th position is the first child that gets all 3 items
Step-by-step explanation:
Find the LCM of 3 , 5 and 4.
Least common multiple of 3 , 4 and 5 = 3 * 4 * 5 = 60
Answer:
3,6,9,12,
4,8,12,16,
5,10,15,
in 60th position
60is the first number that can be divided by 60/3=20 60/4=15 60/5=12
1)Apply the distributive property to solve the following.
(2 +19) x4
Answer:
Answers
=8+76
=84
All you do is multiply 4 by 2 and then multiply 4 by 19. Then you add it up.
Hope this helps :)
Answer:
4x19+4x2 or 4x21
Step-by-step explanation:
If you multiply 4x19, you get 76. And if you multiply 4x2 you get 8. 76+8= 84
If you multiply 4x21 you get 84 also. Both of these answers are distributive property. (all it is, is different ways of solving the problem.)
Hope this helps! :)
Use the figure below to determine the exact value of the given function sin2 0
Answers
Answer:
sin2θ = [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
Since, sin2θ = 2sinθcosθ
From the triangle given in the picture,
Opposite side of angle θ = 2 units
Adjacent side of angle θ = 3 units
Hypotenuse = [tex]\sqrt{2^2+3^2}[/tex] = [tex]\sqrt{13}[/tex] [By Pythagoras theorem]
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{2}{\sqrt{13}}[/tex]
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{3}{\sqrt{13} }[/tex]
sin2θ = [tex]2\times (\frac{2}{\sqrt{13}})(\frac{3}{\sqrt{13}})[/tex]
= [tex]\frac{12}{13}[/tex]