Help me and you get 100 points and Brainliest
The table shows the test scores and the sleep averages of several students.
a. Write the least squares regression equation that models the data. Let x = hours of sleep and y = test score.
b. Use the equation to determine the approximate test score of a student who sleeps an average of 8 h a night. Show your work.
Answers
hey someone else has already answered this!
a. To find the least squares regression equation for a group of (x,y) points:
Step 1: For each point(x,y), we need to calculate x² and xy first.
Step 2: Sum all x, y, x² and xy, which gives us Σx, Σy, Σx² and Σxy
Step 3: Calculate Slope m: m = (NΣxy − Σx Σy)/ N(Σx²) − (Σx)² , here N is the number of data.
Step 4: Calculate Intercept b: b = Σy − m(Σx)/ N
Step 5: Assemble the equation as y= mx+b
Here, we have ∑x = 120, ∑y= 1379, ∑x²= 919.5, ∑xy= 10466 and N= 16
So, m= (NΣxy − Σx Σy)/ N(Σx²) − (Σx)²
=
=
=
= 6.33
and b = Σy − m(Σx)/ N
=
=
=
= 38.71
So, the least squares regression equation is : y= mx+b ⇒ y= 6.33x +38.71
b. When x= 8, then y= (6.33×8)+38.71 = 50.64 + 38.71 =89.35
The approximate test score of a student who sleeps an average of 8 h a night is 89.35%
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Answer:
A way to write the least regression equation that models is data y = mx + b => y= 6.33x + 38.71 and as for problem B when X = 8 then y = (6.33 x 8) + 38.71 = 50.64 = 38.71 = 89.35 so the estimated test score of a student who sleeps eight hours a night is equal to 89.39%
Step-by-step explanation:
Related Questions
b.
X = 4y + 3
2x - 4y = -10
Answers
Answer:
[tex]x = - 13 \: \: and \: \: y = - 4[/tex]
Step-by-step explanation:
[tex]x = 4y + 3......(1) \\ 2x - 4y = - 10.....(2) \\ \\ \\ x - 4y = 3......(1) \\ 2x - 4y = - 10...(2) \\ - x = 13 \\ x = - 13 \\ from(1) \\ x - 4y = 3 \\ - 13 - 4y = 3 \\ - 4y = 16 \\ y = - 4 \\ [/tex]
no joke i will give brainliest and thanks for the asnwer and go 5 star all ur past answers if u get this correct pls dont do wrong answers
Answers
Answer:
PR = PQ and ST = UT.
If this is not correct then:
PR = 8 ans UT = 2z+3
Step-by-step explanation:
30x + 4y = 1,040
12x + 16y = 2,000
Answers
Answer:
(15x+2y)
Step-by-step explanation:
not entirely sure but i hope this helps :) have a nice day !!
The values of x and y in the following equation system are 20 and 110, respectively.
What are System of equation?simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.
given a system of equation:
30x + 4y = 1,040.....(1)
12x + 16y = 2,000...…(2)
We will solve it by using substitution method,
Multiply with 2.5 in equation (2) and subtract it from equation (1)
30x + 4y - 30x - 40y = 1040 - 5000
36y = 3960
y = 110
Substitute this value of y in equation (1)
30x + 440 = 1040
30x = 600
x = 20
Therefore, The value of x and y are 20 and 110 respectively for the given system of equation.
Learn more about System of equation here:
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A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied
at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The
test results (expressed as a percent) for the two groups are shown below.
Studled: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
Which of the following statements are true?
There is no mode of the group that studied.
In general, those students that studied scored much higher than those students that did not study.
The mean of the group that studied is over 15 percentage points higher than the mean of the group that did not study.
The median of the group that studied is over 95.
The median of the group that did not study is less than 80
Answers
Answer:
The median of the group that did not study is less than 80
Step-by-step explanation:
The median of the group that did not study is 79.5
pls pls help desprate
Answers
Step-by-step explanation:
x=33 y= -22
52 -33
-22=33m+b
-33=52+b
-11=19m
m=-11/19
-22= 19.105+ b
b= -41.105
y=-11x/19 -41.105
x intercept when y=0
0=-11x/19 -41.105
41.105=-11x/19
-11x= 780.995=781
x= - 71
x-intercept = -71
What is the value of s?
units
Answers
Answer:
s = 17 units
Step-by-step explanation:
In triangle ABD,
(AB)² + (BD)² = (AD)² (by Pythagoras Theorem)
=> 8² + 15² = s²
=> 64 + 225 = s²
=> s = [tex]\sqrt{289}[/tex]
=> s = 17 units
Hope it helps :)
Please mark my answer as the brainliest
Solve for x
x = ____
30
45
22.5
Answers
Answer:
45
Step-by-step explanation:
x+3x+90=180
4x=180
X=45
similarities transformations
Answers
Answer:
B 1/3 then reflection across y axis then move figure 2 units to down and 1 right.
Step-by-step explanation:
The figure ABC is bigger than FED so the scale factor is less than one since we are going to ABC to FED. Let look at corresponding sides, AB and FE. AB distance is 3. FE distance is 1 so let divide
[tex] \frac{fe}{ab} [/tex]
[tex] \frac{1}{3} [/tex]
The scale factor is 1/3.
The new points are at A'(-2,0) B'(-2,1) C'(-1,0).
Then we apply reflection.
Since FED is in the 4th quadrant, we are going to reflect across the y axis.
That becomes using formula
(x,y) goes to (-x,y) when reflecting across yaxis.
A''(2,0) B''(2,1) C''(1,0)
Now we will apply the translation. We can simply just move the figure 2 units down and 1 unit to the right.
Answer:
b
Step-by-step explanation:
x =
12
4
6
LOOK AT IMAGE
Answers
Answer:
12
Step-by-step explanation:
I think that’s the only thing that makes sense.
Answer:
12
Step-by-step explanation:
Hope this helps.
Help help help help help
Answers
Answer:
the pythagoream theorem, a^2+b^2=c^2
1. 13in.
2. 31.6 yd.
3. 16.1 m.
Step-by-step explanation:
c is the hypotonus (the diagonal line on a right triangle)
if you are trying to find c, you square the two sides that are given and then add them up.
For example number 1:
So 5x5=25 and 12x12=144
add those two values together, 25+144=169
the last step is to find the square root of that last sum (169)
√169 = 13.
I WILL GIVE BRIANLIEST!!!!!!!!
Please, I really need to get these right because I’m redoing it for full credit and I have an F in math, help me with as many as you can but don’t guess because I really need this. Even if you see other people’s answers, please give me your feedback still.
Answers
Answer:
a
Step-by-step explanation:
a
j /-2 + 7 = -12. what is the value of j
Answers
Answer:
j = 38Explanation:
ʲ⁄₋₂ + 7 = -12
Subtract 7 From Both Sides
ʲ⁄₋₂ + 7 - 7 = -12 - 7
Simplify
ʲ⁄₋₂ = -19
Multiply Both Sides By -2
(-2) ʲ⁄₋₂ = -19 (-2)
j = 38Answer:
38
Step-by-step explanation:
The radius of the front wheel of Monica's bicycle is 1 foot. About how far has Monica traveled after the wheel has made 100 revolutions? (use 3.14 for pi)
Answers
Answer:
Distance travel by Monica = 628 ft
Step-by-step explanation:
Given:
Radius of whee l = 1 ft
Number of revolution = 100
Find:
Distance travel by Monica
Computation:
Distance travel by Monica = 100[Circumference of wheel]
Distance travel by Monica = 100[2πr]
Distance travel by Monica = 100[2(3.14)(1)]
Distance travel by Monica = 100[6.28]
Distance travel by Monica = 628 ft
A rectangular football field is 6x meters long and 3x meters wide. If its
perimeter is 360 meters, then the value of x is
Answers
Answer:dgrgfhtbsdvdsvs
Step-by-step explanation:dssfdfd
Answer:
x = 20
Step-by-step explanation:
perimeter = 2(width) + 2(length)
2(6x) + 2(3x) = 360
12x + 6x = 360
18x = 360
divide both sides by 18
x = 20
Answer Fast Please!! Find the volume of the cylinder. Use 3.14 for pi.
Answers
Answer:
The answer is 24501.42
Step-by-step explanation:
Diameter=34m
Radius=34÷2 = 17m
Height=27m
Volume=πr^2h
Volume= 3.14×(17)^2×27
Volume= 3.14×289×27
Volume= 24501.42m^2
Please help I need help help help help
Answers
Answer: 4 bags
Step-by-step explanation: Good luck! :D
Answer:
the answer is 4 i think d ont know
Step-by-step explanation:
A line has a slope of 5 and y-intercept of -2. What is its equation in slope-intercept from? Write your answer using interfere, proper fraction and improper fractions in simplest form.
Y=_x - _
Answers
Answer:
y=5x-2
Step-by-step explanation:
The Chambers family has a net monthly income of $6,500.
A circle graph titled Chambers Family Budget. Housing is 25 percent, Food is 20 percent, Savings is 7 percent, Transportation is 12 percent, medical is 10 percent, clothing is 18 percent, emergency fund is 8 percent.
If the family decides to reduce its clothing budget by $200 a month, how much will the new clothing budget be? Round to the nearest dollar.
$161
$853
$970
$1,170
Mark this and return
Answers
The original price is 361. If you reduce that by 200, it is 161.
Please Help I will give 30 Points
Answers
Answer:
EC = 8/9 ft
Step-by-step explanation:
ΔADE ≈ ΔABC
set up a proportion based on corresponding sides
AD/AE = AB/AC
9/4 = 11/(4 + EC)
9(4 + EC) = 44
36 + 9EC = 44
9EC = 8
EC = 8/9
Jayden filled his 290 gallon pool with water in 4 hours. How many gallons per hour did he use?
Answers
Answer:
72.5 gallons an hour (i think im sorry if im wrong)
Step-by-step explanation:
What is the measure of 1?
A.15
B.35
C.37
D.79
Answers
Answer:
we have
1+2=180(being co-interior angle)
2x+5+3x-10=180
5x-5=180
5x=180+5
x=185/5=37
m<1=2x+5=2×37+5=74+5=79
Which coordinate in this ordered pair is the X coordinate? (5,-8)
Answers
Answer:
5
Step-by-step explanation:
The x coordinate is always listed first
The coordinate in this ordered pair (5, -8) the X coordinate will be 5.
What is an ordered pair?An ordered pair is made up of the ordinate and abscissa coordinates, with the two values given in parenthesis in a certain order.
Paired in order. Two numbers that must be provided in a specific order are considered ordered pairs. A set of two integers used to locate a point in a coordinate plane is typically referred to as an ordered pair.
The coordinate is given below.
(5, -8)
The y-coordinate is -8 and the x-coordinate is 5.
The ordered pairs are written in a form of (x,y).
Therefore, the ordered pair corresponding to the given coordinates is (-8,9).
Learn more about the ordered pairs;
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Solve
n + 11 = -2
How do i solve this
Answers
-11 -11
n=-13
i think
Help me answer this math question
Answers
The equation representing the total number of students in the class: b+g=36
The equation representing the total number of boys in the class: b=2g-3
Sentence representing solution: The number of boys in the class is 13 and the number of girls in the class is 26
Alice has a total of 12 dimes and nickels.she has 2 more nickels than dimes.which equation represents the given problem situation?
A.c+2c=12,where c is the number of nickels
B.c+(c+2)=12,where c is the numbers of nickels
C.c+(c+2)=12,where c is the number of dimes
D.c+2c=12,where c is the number of dimes
Answers
find the areas of the following parallelograms. pleasee helppp!
Answers
Answer:
Below in bold.
Step-by-step explanation:
Area = altitude * base
3. 6.2 * 6
= 37.2 cm^2.
4. 0.12 * 0.24
= 0.0288 m^2.
5. 32 * 0.4
= 12.8 m^2.
squares square roots, perfect square
Answers
Hope that helps if you need a better explanation let me know.
solve by completing the square.
3x^2+x-2=0
Answers
Answer: x = 2 /3 , − 1
Step-by-step explanation:
PLEASE HELP!!!
Write a simplified equation to solve for X.
Using the equation, solve for x
Answers
Answer:
x = 40
Step-by-step explanation:
x + 100 + x = 180 {Straight line angles}
2x + 100 = 180 {subtract 100 from both sides}
2x = 180 - 100
2x = 80 {Divide both sides by 2)
x = 80/2
x = 40
Answer:
x=40
Step-by-step explanation:
2x+100=180
2x=180-100
2x=80
x=40
Please help, I can’t think today
-(4-x) = ?
Answers
Answer:
simplified equation is -4+x
x=4
Step-by-step explanation:
-4+x=0
+4
x=4
Answer:
x-4
Step-by-step explanation:
1. Rearrange terms : −(4−x) −(−+4) Then Distribute the negative: −(−+4) 1−4
Multiply by 1: 1−4 so x-4
Hope this helps !