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
HURRY!
What are all the possible rational solutions for x^4-3x^2+2x5=0
Answers
Answer: x = 1
x =(-3-√-15)/4=(-3-i√ 15 )/4= -0.7500-0.9682i
x =(-3+√-15)/4=(-3+i√ 15 )/4= -0.7500+0.9682i
x2 = 0
Step-by-step explanation:
a) Find the value of 1.69 x 4.41
b) Find the value of (2.63 -0.87) - 2.076
Answers
Answer:
7.4529
Step-by-step explanation:
1.69 x 4.41=7.4529
***HURRY TIMED TEST***
***WILL MARK BRAINLEST***
If f(x) = 8x + 7 and g(x) = square root x + 2, what is (fºg)(2)?
Answers
Answer:
[tex]8x + 7 =15 \\ gx + 2 =4 \\ [/tex]
In a student election, Derrick got 10% of the votes. If Derrick got 5 votes, how many total students voted?
Answers
Answer:
50 students voted
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
If 50 students voted, or 1/10th of students voted for him, than you can multiply 5 by 10 to get your answer, which equals 50.
:Harley read 10 books in January, 15 books in February, 8 books in March
and 7 books in April. What is the average number of books Harley read per
month?
Answers
Answer:
I think 10
Step-by-step explanation:
you ad up the books so you would have 10+15+8+7=40. Then you divide by 4 to get the average. So it equals 10.
Jenna borrows $8,000 for college at a yearly simple interest rate of 6%. She takes
15 years to pay off the loan and interest. How much interest does she pay? What is
the total amount she pays?
Answers
Answer:
The interest will rack up to $7,200
The total will be $15,200
Step-by-step explanation:
the interest she pays is $7,000
the total amount she pays is $15,200
Jenna borrows $8,000 for college at a simple interest rate of 6%
she has 15 years to pay back the loan and interest
the interest can be calculated as follows
= 6/100 × 8,000
= 0.06 × 8000
= 480
= 480 × 15
= $7200
the total amount she pays can be calculated as follows
= $7200 +$8000
= $15,200
Hence the interest she pays is $7200 and the total amount is $15,200
please see the link below for more information
https://brainly.com/question/19334153?referrer=searchResults
A large pizza has 12 slices, a medium has 10 slices, and a small has 8 slices. Write an expression to show total number of slices in 2 large pizzas 3 medium and 1 small, then solve... I really need help
Answers
Answer:
[12(2) + 10(3)] + 8 = 62
Step-by-step explanation:
I hope this works. :)
a number p divided by 7 is less than -3
Answers
,,,,,,,,,,,,,,,
The inequality expression is p ÷ 7 < -3.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Number = p
Now,
A number p divided by 7 is less than -3
This can be written as,
p ÷ 7 < -3
p/7 < 3
p < (7 x 3)
p < 21
Thus,
The number p is less than 21.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
The Game Stop is having a sale on an originally $66.64 game. It is on sale for $29.99.
What is the percent change?
Answers
Answer:
54.997 decrease
Step-by-step explanation:
None
If only GameStop wasn't that money hungry
45% change
Which is the same as 10/3?
Answers
Answer:
3.33 repeating or 3 and 1/3
Step-by-step explanation:
If you divide 10 by 3 you get a repeating decimal of 3.3333...
or if you make the fraction into a mixed number, it would be 3 and 1/3
Find the perimeter of this parallelogram:
8.2 cm
6.5 cm
Find the perimeter of this triangle:
7.3cm
6.1cm
9.6cm
Answers
Answer:
parallelogram 's perimeter =2(8.2+6.5)
""" =2×14.7
... = 29.4
perimeter of triangle=7.2+6.1+9.6
""""" =22.9
Please help if you can, thanks
Answers
Answer:
what does the picture say
help please, the image is attached.
Answers
Answer:
A
Step-by-step explanation:
A
factor 8x^2+10x-3
plz explain your answer
Answers
Answer:
look I have sent you the answer of your question.
This trinomial can be factored as two binomials.
So setup two sets of parenthses.
8x² can be factored as 8x · x or 4x · 2x
and -3 can be factored as +3 · -1, -1· +3, -3 · +1, or +1 ·-3.
If the middle term in the original trinomial is even,
try pairs of even factors first if you have that option.
In this case, we have a 4x and a 2x so let's try those first.
Let's do this with all the factors of -3.
So our first possible answer could be (4x + 3)(2x - 1).
Since the product of the outer terms, -4x, plus the product of the inner, 6x,
doesn't add to our middle term, this pair doesn't work.
Now let's try (4x - 1)(2x + 3).
The product of the outer terms, 12x, plus the product of the inner, -2x,
equals the middle term in our original trinomial, this pair works.
So our answer is (4x - 1)(2x + 3).
need help im dum (not really but i dont get it)
i will give brainliest
Answers
Answer:
20
Step-by-step explanation:
to do % you have to multiply your number (50) by the % which is 40%
but you have to turn your number into a decimal (.40) then multiply
you'll get 20 and there is your answer!
hope this helps!
Sarah changed the quadratic function x^2 - 8x+10 from
standard form to vertex form using the method
of completing the square. What number did Sarah add to
both sides of the equation during the process?
a. -8
b. 16
C. 10
d.-4
Answers
Answer:
is d because the vertex is not helping the square
Step-by-step explanation:
sym sum i need helps do siwbdi i’m doing this for the points lol
Answers
What is the missing value ? i’ll mark brainlist
Answers
Answer:
50
Step-by-step explanation:
I need to know what the difference of this expression is.
(4 - 5i) - (12 + 11i)
Answers
Answer: -10-16i
Step-by-step explanation:
Given
(4-5i)-(12+11i)
Expand parenthesis
2-5i-12-11i
Put like terms together
(2-12)-(5i+11i)
Combine like terms
-10-16i
Hope this helps!! :)
Please let me know if you have any questions
(7th grade math question)
In a week Dave will spend 150 minutes on cardio exercise and 75 minutes on weights. On Monday Dave spent 30 minutes on cardio and 15 minutes on weights. What percentage of his total exercise time for a week did Dave spend exercising on Monday?
A) 20%
B) 25%
C) 10%
D) 50%
Please answer soon
Answers
If this answered help you then please consider marking it as brainliest to help me level up to expert
He spent 20% of his exercise time for the week on Monday!
How I got this is by finding the total amount of time spent exercising in the week and the total amount of exercise on Monday. I found that one fifth (1/5) of his exercise time was spent on Monday, or in percentage form, 20%!
Hope this helps, if not, comment below please!!!
:L
3x=6y-3 (table of values)
Answers
Answer:
The image I put is the answer.
Step-by-step explanation:
On the first day of ticket sales the school sold 8 senior citizen tickets and 1 child ticket for a total of $97. The school took in $102 on the second day by selling 6 senior citizen tickets and 4 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Answers
Answer:
A senior citizen ticket costs $11, and a child ticket costs $9.
Step-by-step explanation:
Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.
First day:
8s + c = 97
Second day:
6s + 4c = 102
We have a system of 2 equations in 2 unknowns.
8s + c = 97
6s + 4c = 102
We will use the addition method to solve the system.
Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.
-32s - 4c = -388
(+) 6s + 4c = 102
----------------------------
-26s = -286
Divide both sides by -26.
s = 11
Now substitute s with 11 in the first original equation and solve for c.
8s + c = 97
8(11) + c = 97
88 + c = 97
Subtract 88 from both sides.
c = 9
Answer: A senior citizen ticket costs $11, and a child ticket costs $9.
Simply 8t + 6r - 3t + 2r
Answers
Answer: 8r+5t
Step-by-step explanation:
8t + 6r - 3t + 2r
8t-3t= 5t
6r+2r=8r
= 8r+5t
Answer:
The answer would be 8r + 5t
What is the approximate volume of the cylinder?
Answers
Answer:
V ≈ 509 m3 ← This is an approximate answer, rounded to the nearest whole. To calculate the volume of a cylinder, multiply the area of the base (Πr2) times the height (h). This gives the formula V = Πr2h.
Lucky you it's sale time at Best Buy! This TV was originally $229 it's now on sale for 25% off. How much is the TV now?
Answers
Answer:
0.000725 i think :)
Step-by-step explanation:
Divide the number by 100 (move the decimal place two places to the left).
Multiply this new number by the percentage you want to take off.
You multiply your original cost (229) by the percent it’s on sale for (.25) then you get $57.25. That is how much is being taken off of the original price so you would subtract 229 by 57.25 to get your answer of $171.75.
Plz answer fast I need it done soon
Answers
Answer:
The correct answer is B
Step-by-step explanation:
.
Does any one know how to do 2r+4<8 it’s aggravating me
Answers
Answer:
Step-by-step explanation:
2r+4<8
subtract 4 from both sides
2r<4
divide by two
no need to reverse the sign since you are not dividing by a negative number
r<2
HELP MATH HELP MATH math is hard pls help me and give workings too thank you so much
Answers
Answer:
For the first question the answer is 50(0.2 + 1)^2 = 72
For the second question it is y = 32
Step-by-step explanation:
In case you need to see how i got it...it's below
For number 1, y is proportional to (x + 1)^2
The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)
For number 2 I used this equation: y (x + 1)^2 = 72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.
Hope this helps:)
Answer:
For the first question the answer is 50(0.2 + 1)^2 = 72
For the second question it is y = 32
Step-by-step explanation:
In case you need to see how i got it...it's below
For number 1, y is proportional to (x + 1)^2
The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)
For number 2 I used this equation: y (x + 1)^2 = 72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.
Hope this helps:)
Step-by-step explanation:
someone plz help me plz
Answers
Answer:
38.5
Step-by-step explanation:
First do 77/2 then you get 38.5, if anything is wrong please tell me!!
If f(x) = 2x2 + 4 and g(x) = x - 6, determine f(-5) - g(-5).
53
-49
55
65
which one is the answer
Answers
Answer:
65
Step-by-step explanation:
f(x) = 2x² + 4
g(x) = x - 6
f(-5) = 2 * (-5)² + 4
= 50 + 4
= 54
g(-5) = - 5 - 6
= - 11
f(-5) - g(-5) = 54 + 11 = 65
Hope it will help you :)
