What is the quadratic regression equation that fits these data?
A. y = -2.04x2 +1.46x + 13.92
B. y= -0.70x2 +2.37x + 11.96
c. y = 14.77(0.89)
D. y = -1.04x2+3.04x + 9.68
Answers
Answer:
B)[tex]-0.70x^2+2.37x+11.96[/tex]
Step-by-step explanation:
No. of second Height
0 12
1 13
2 15
3 13
4 9
5 7
Quadratic Regression Equation: [tex]y = a + b x + c x^2[/tex]
[tex]c = \frac{ [ \sum x^2 y * \sum xx ] - [\sum xy \cdot \sum xx^2 ] } { [ \sum xx \cdot \sum x^2 x^2] - [\sum xx^2 ]^2 }[/tex]
[tex]b =\frac{ [ \sum xy \cdot \sum x^2 x^2 ] - [\sum x^2y \cdot \sum xx^2 ] } { [ \sum xx \cdot \sum x^2 x^2] - [\sum xx^2 ]^2 }[/tex]
[tex]a = [ \sum y / n ] - { b \cdot [ \sum x / n ] } - { a \cdot [ \sum x^2 / n ] }[/tex]
Where ,
[tex]\sum x x = [ \sum x^2 ] - [ ( \sum x )^2 / n ]\\\\\sum x y = [ \sum x y ] - [ ( \sum x \cdot \sum y ) / n ]\\\\\sum x x^2 = [ \sum x^3 ] - [ ( \sum x^ 2 \cdot \sum x ) / n ]\\\\\sum x^2 y = [ \sum x^2 y] - [ ( \sum x^2 \cdot \sum y ) / n ]\\\\\sum x^2 x^2 = [ \sum x^4 ] - [ ( \sum x^2 )^2 / n ][/tex]
Using these formulas the required equation is :[tex]-0.696 X^2 +2.368 X +11.964[/tex]
So, option B is true
B)[tex]-0.70x^2+2.37x+11.96[/tex]
Related Questions
The graph of y=54x+1 is shown below. The coordinate (0,y) is a solution of the equation. Given the x-value of 0, what is the value of the y-coordinate for the coordinate (0,y)?
Answers
Answer: y =1
Step-by-step explanation:
Evaluating the equation for x = 0:
y = 54 (0) + 1
y =1
The y-coordinate for the coordinate (0, y) is 1 if the coordinate (0,y) is a solution to the equation. Given the x-value of 0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The missing figure is attached to the picture.
Calculataing the equation for x = 0:
y = 54 (0) + 1
y = 1
Thus, the y-coordinate for the coordinate (0, y) is 1 if the coordinate (0,y) is a solution to the equation. Given the x-value of 0.
Learn more about the linear equation here:
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Paige rolls a number cube sixty-four times. The number 4 comes up fourteen times. The number 3 comes up six times. Rounded to the nearest whole percent, what is the experimental probability of rolling a 3 or 4? %
Answers
Answer:
do you still need an answer
solve 5x^2-4x-2=0 by completing the square
Answers
Answer:
Hello
Here's the answer:
2x^2 + 5x + 2 = 0\\ 2x^2+4x+x+2=0\\ 2x(x+2)+1(x+2)=0\\ (2x+1)(x+2)=0\\ x=-\frac{1}{2} \vee x=-2
x^2-4x+1=0\\ x^2-4x+4-3=0\\ (x-2)^2=3\\ x-2 =\sqrt3 \vee x-2=-\sqrt3\\ x=2+\sqrt3 \vee x=2-\sqrt3
Step-by-step explanation:
The car my mom drives told her that she only has 5% of her gas tank before she runs out. If I know her tank holds 20 gallons of gas, how many gallons of gas does she have?
Answers
Answer:
1 gallon
Step-by-step explanation:
Step by step explanation
Are the events of drawing a rook from the bag of white
pieces and then drawing the king from the bag of
black pieces dependent or independent events? Find
the probability of this compound event.
Answers
Answer:
Independent events, 1/16
Step-by-step explanation:
What we must take into account is that they are 2 different bags, because in one bag are the black pieces and in another bag are the white feed, regardless of which piece is removed, one event has nothing to do with the other event being different bags.
Which means that they are independent events.
And the probability for each case would be 1/16, because the probability is one piece out of 16 that is in each bag.
What is the median of the data set? 3, 17, 11, 8, 13, 5, 18
Answers
The median is 11.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Which set of ordered pairs is a function?
Answers
Answer:the answer is {( -5,1),(-3,2),(-1,3),(1,4),(3,5)}
Step-by-step explanation: The x should not repeat
Answer:
1st 1
Step-by-step explanation:
What if the x repeats negative?
please help due in ten minutes
Answers
Answer:
is there a graph included
Answer:
It's B
Step-by-step explanation:
What is the sum? 2/x^2+4/x^2
Answers
Answer:
\frac{2}{ x^{2} } + \frac{4}{ x^{2} } = \frac{2+4}{ x^{2}}= \frac{6}{ x^{2} }
Step-by-step explanation:
When we add two expression in fraction we take Least common multiple of two expression in the denominator
Here we have expression
Now, we write a common denominator
rewrite the expression
Now, we combine the numerator 2+4 is equal to 6
So, we will get = \frac{2}{x^{2}}+ \frac{4}{x^{2}} =\frac{6}{x^{2} }
Hope this helps!
Alex drew a shape that belongs to both the category of rhombuses and the category of rectangles.
Part A
Alex said the most specific name for the shape is a quadrilateral. Is Alex correct? Explain why or why not.
Part B
Name one additional category of polygons that Alex's shape belongs to. Justify your answer.
Answers
Answer:
yes because they have equal sides
It can also be called a polygon because they have congruent sides.
Which is the solution to the inequality?
x < 1 / 2
X>
7
12
O X <1
12
XS1
12
3 1/2
Answers
I believe that would be ur answer! I hope i helped out
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
42
Step-by-step explanation:
Set the numbers in order from least to greatest, then find the one in the middle, which will be the median.
19, 23, 42, 56, 67
42 is in the middle, so it is the median.
Sam read 60 pages, which is 3/4 of the book. How many pages are there in the book?
Answers
Divide the pages read by the portion read:
60/ 3/4 = 60 x 4/3 = 240/3 = 80
The book has 80 pages.
Answer:
80 pages in the book
Step-by-step explanation:
60/3=20
20*4=80
80 pages
What is the solution to the system of linear equations?
5
-4
f(x)
(3.0)
(-3.3)
(02)
(3, 1)
1
5
2.
3
4
5
х
432
g(x)
2-
-3
Answers
Answer:
The solution to the system of linear equation is (0,2)
The solution to the system of linear equation is (2.-3).
What are simultaneous linear equations?Simultaneous linear equations can be defined as the two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
3x-y=9 - - - -(1)
4x+y=5 - - - - (2)
Adding equations 1 and 2
7x = 14
x = 2
Now, we have
3(2) - y = 9
-y = 9 - 6
-y = 3
y = -3
Thus, the solution of the given simultaneous equations are x = 2 and y = -3.
Learn more about simultaneous equations here:
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4(2x-3)+8(x-4)=2(2x+6) help plzzz
Answers
Answer:
x = 14/3
Step-by-step explanation:
4(2x-3)+8(x-4)=2(2x+6)
Distribute
8x -12 +8x - 32 = 4x +12
Combine like terms
16x -44 = 4x+12
Subtract 4x
16x-4x -44 = 4x+12-4x
12x -44 =12
Add 44 to each side
12x-44+44 = 12+44
12x = 56
Divide each side by 12
12x/12 = 56/12
x = 14/3
Answer:
[tex]x=\dfrac{14}{3}[/tex]
Step-by-step explanation:
[tex]4(2x-3)+8(x-4)=2(2x+6)[/tex]
Expand parentheses:
[tex]8x-12+8x-32=4x+12[/tex]
Combine similar terms:
[tex]16x-44=4x+12[/tex]
Subtract 4x and add 44 to both sides:
[tex]12x=56[/tex]
Divide both sides by 12:
[tex]x=\dfrac{14}{3}[/tex]
Hope this helps!
Avery had $25.38 in her wallet. If she bought lunch with 9 1/2 dollars from her wallet, how much money did she have in her wallet after lunchA.
$16.38
B.
$14.88
C.
$15.88
D.
$16.18
Answers
Answer:
C. $15.88
Step-by-step explanation:
$25.38-$9.50=$15.88
Enter an algebraic expression to model the given context. Give your answer in simplest form.
The principal amount P originally deposited in a bank account plus 0.6% interest
The algebraic expression is .
Answers
Answer:
p=0.006=1.006
Step-by-step explanation:
Google....
In a randomly generated list of numbers from 0 to 6, what is the chance that
each number will occur?
A. 1/8
B. 1/6
C. 1/7
D. 1/9
Answers
Answer:
1/7
Step-by-step explanation:
there are 7 number possibilities 0,1,2,3,4,5,6.
so if they each have an equal probability the answer is 1/7
Find the next three numbers in the sequence: 6,7,9, 12, 16, ....
Answers
Answer:
21,27,34 i think
Step-by-step explanation:
Two standard six-sided dice are tossed. What is the probability of getting a 3 and a 5
P(3 and 5)
a)1/24
b)1/36
c)1/3
d)1/12
Answers
Answer:
1/36
Step-by-step explanation:
Getting a 3 is 1/6
Getting a 5 is 1/6
Multiply those and get 1/36
Lyonell has kept track of his income and expenses for the week in the spreadsheet below. How much did Lyonell spend on
theater tickets?
B
1 Transaction
Amount Total
2 Beginning balance
$430.57
3 Groceries
-$57.19
4 Rebate check
$15.00
5 Gas
-$22.30
6 Theater tickets
7 Paycheck
$377.82
8 Ending balance
$695.15
a $48.75
b. $117.24
C. $252.84
d. $381.82
Answers
Answer:
The correct option is A,$48.75
Step-by-step explanation:
The amount of spend on theater tickets is missing, however it can be computed by using the below formula:
Closing balance=opening balance-cost of groceries+ rebate check-cost of gas-cost of theater tickets+ paycheck
$695.15=$430.57-$57.19+$15-$22.30-cost of theater tickets+$377.82
cost of theater tickets=$430.57-$57.19+$15-$22.30+$377.82-$695.15
cost of theater tickets=$48.75
Answer:
A on EDGE
Step-by-step explanation:
Kevin made 12 5/6 bags of popcorn for a movie night with some friends. Together they ate 7 1/6 bags of it. How much popcorn was left?
Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
5 ⁴/6
Step-by-step explanation:
12⅚ - 7⅙ = 5 ⁴/6
12 - 7 = 5
⅚. -. ⅙ = ⁴/6
HOPE THIS HELPS! (:
4/6 is a fraction, it just looks funky
HELP ME HELP ME HELP ME
Answers
Answer:
C
Step-by-step explanation:
work shown below
Can someone please help me out with this
Answers
Answer:
the answer is c
Step-by-step explanation:
Which equation represents a line which is parallel to y = 0?
A. y = 6
B. x = -5
C. y = x
D. y = x - 1
Answers
Answer:
A. y = 6
Step-by-step explanation:
Y= 0 is equation of x - axis
equation of any straight line which is parallel to x-axis and at distance of a from it is given y = c.
Therefore, from the given option only option A y =6 is in form of y = a and hence is the correct answer.
_______________________________________
Also we know that for two lines to be parallel , their slope should be equal.
slope of line y = mx + c is m
slope of y = 0 here m = 0, hence slope is 0
out of the given option
only for y - 6 slope is 0 and hence it is the correct answer.
___________________________________
What percent is equivalent to 1/25
O 4%
O 5%
O 20%
O 25%
Answers
Answer:
4%
Step-by-step explanation:
1/25 = 0.04 = 4%
pls help I'm too lazy
20 points
Answers
Answer:
2/5
Step-by-step explanation:
multiples of 2 = 2,4
probability of getting multiples of 2 is 2
total probability is 5
so probability of getting multiples of 2 is..... 2/5
hope it helps
all the best
Answer:
2/5
Step-by-step explanation:
12x−39≤9 AND−4x+3<−6
Answers
Answer:
2 1/4 < x ≤ 4
Step-by-step explanation:
12x−39≤9 AND−4x+3<−6
Solve them separately and then put back together
12x−39≤9
Add 39 to each side
12x−39+39≤9+39
12x ≤48
Divide by 12
12x/12 ≤48/12
x ≤4
Now the other inequality
−4x+3<−6
Subtract 3 from each side
−4x+3-3<−6-3
-4x < -9
Divide by -4, remembering to flip the inequality
-4x/-4 > -9/-4
x > 2 1/4
put back together
x > 2 1/4 and x ≤4
2 1/4 < x ≤ 4
Answer:
2.25<x≤4
Step-by-step explanation:
12x−39≤9 ⇒ 12x≤ 48 ⇒ x≤4
−4x+3<−6 ⇒ -4x < -9 ⇒ x> 9/4= 2.25
2.25<x≤4
or
x= (2.25, 4]
24+4(3+1)
answer plz
Answers
Answer:
40
Step-by-step explanation:
follow the BEDMAS
24+4(3+1)
=24+4(4)
=24+16
=40
Answer:
40
Step-by-step explanation:
24+4(3+1) Order of operations(Bedmas)
24+4(3+1)
24 + 12 + 4. Left to right
36 + 4
40
Sides& Angles of Triangles
Answer the following Questions
What can you tell about a triangle when given three side lengths?
What can you tell about the relationship between angles of a triangle and its sides ?
Answers
Answer:
the area using heron's formula
the perimeter
