which regression equation best fits these data?
x:-6,-4,-3,-1,1,2,3,4
y:12,15,17,17,15,11,9,6
on graph:(-6,12)(-4,15)(-3,17)(-1,17)(1,15)(2,11)(3,9)(4,6)
a. y=11.73*0.94^x
b. y=0.32x^2+1.26x+15.81
c. y=-0.67x+12.41
d. y=-0.32x^2-1.26x+15.81
Answers
Answer:
y = - 0.32x² - 1.26x + 15.81
Step-by-step explanation:
From the graph, it can be deduced that the graph isn't linear nor exponential. The graph shown is a quadratic graph. Hence the regression equation which best fits the model is represented in the form :
y = Ax² + Bx + C
Using technology, the regression model obtained by fitting the data is :
y = - 0.32x² - 1.26x + 15.8
Fitted model is attached below
Related Questions
HELP MAN PLEASE IM CRYING I NEED HELP I WILL DO ANYTHING
Answers
Answer:
see below
Step-by-step explanation:
OK, so volume of LxWxH. so for shape 1 it's 14x8x7=784
Its asking for base times height which is 112 so the blanks are 112 then 7 then 784
the second one is the same. the base is 81 times the height of 9 which is 729
so the blanks are 81 than 9 than 729
the third base is 20 times height of 11 which is 220
so the blanks are 20 than 11 than 220
A biology class examined some flowers in a local meadow. They saw 36 flowers, of which 25% were perennials. How many perennial flowers did the students see?
Answers
Answer: nine
Step-by-step explanation: 36 - 25 = 9 or 25% x 1 + 36 = 9
Answer:
9
Step-by-step explanation:
1 first split 36 by 4 because 25% is 1/4
2 once when divided you should get 9 because 9x4 is 36
Part A
GEOMETRY Consider a trapezoid that has one base that measures five feet greater than its height. The other base is one foot less than twice its height. Let x represent the height.
a. Write an expression for the area of the trapezoid.
A=(blank)x^2 +(blank)x ft^2
PART B Write an expression for the area of the trapezoid if its height is increased by 4 feet
A=(blank)x^2+(blank)x+(blank)ft^2
Answers
The area of the trapezoid is 1.5x² + 2x. If the height is increased by 4 feet, the new area would be 1.5x² + 8x
How to solve an equation?An equation is an expression that shows the relationship between two or more numbers.
Let x represent the height of the trapezoid.
a) One base of trapezoid measures five feet greater than its height. Hence:
First base = x + 5
The other base is one foot less than twice its height, hence:
Second base = 2x - 1
Area = (1/2)(sum of bases) * height = (1/2)(x + 5 + 2x - 1)(x) = 1.5x² + 2x
b) The height is increased by 4 feet. New height = x + 4
First base = (x + 4) + 5 = x + 9
Second base = 2(x + 4) - 1 = 2x + 7
Area = (1/2)(sum of bases) * height = (1/2)(x + 9 + 2x + 7)(x) = 1.5x² + 8x
The area of the trapezoid is 1.5x² + 2x.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
hey could anyone solve this for me and make sure its correct
Answers
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those provided
[tex]R(\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad S(\stackrel{x_2}{15}~,~\stackrel{y_2}{31}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{31}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{15}-\underset{x_1}{5}}} \implies \cfrac{ 24 }{ 10 } \implies \cfrac{12 }{ 5 }[/tex]
keeping in mind that perpendicular lines have negative reciprocal slopes
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{12}{5}} ~\hfill \stackrel{reciprocal}{\cfrac{5}{12}} ~\hfill \stackrel{negative~reciprocal}{ {\Large \begin{array}{llll} -\cfrac{5}{12} \end{array}} }}[/tex]
Step-by-step explanation:
the slope of a line is the ratio
y coordinate change / x coordinate change
when going from one point on the line to another.
the perpendicular slope is simply turning that ratio fraction upside down and flips the sign.
(5, 7) to (15, 31)
x changes by +10 (from 5 to 15).
y changes by +24 (from 7 to 31).
the slope (or gradient) is therefore
+24/+10 = 12/5
the perpendicular slope or gradient is then
-5/12
2 Justin had 3 rolls of ribbon. He used of a roll of ribbon to tie a parcel and 5 of another roll of ribbon to tie a present. How many rolls of ribbon did he use in all? How many rolls of ribbon did Justin have left?
Answers
Answer:1 roll of ribbon left
Step-by-step explanation:
Is it possible to scan a screenshot problem?
Answers
Answer:
Yes it's possible you just got to crop it to your liking
Answer: upload it’s to your drive on your computer
Step-by-step explanation:
What is the measure of missing angle F?
Answers
Answer:
84 (:
Step-by-step explanation:
Eric spent $21.85, including sales tax, on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax was $1.03. Fill in the table with the correct prices.
Item Cost
Cost of each jersey $
Cost of each pair of socks $
Cost of sales tax $
Answers
Answer
Cost of each jersey $6.75
Cost of each pair of socks $4.69
Cost of sales tax $1.03
Step-by-step explanation:
To find the cost of the socks you fist add $6.75 + $1.03 and you get $7.78.Then you subtract that by $21.85.After that you do $14.07 divided by 3 and you get $4.69.
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. What is the area of the garden?
Answers
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. 38.72 feet² is the area of the garden. This can be solved using the concept of the area of rectangle.
What is area of a rectangle?A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposing sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Each and every square is a rectangle since it is a quadrilateral with right angles on all four sides. But not all rectangles are squares; for a shape to be a square, all of its sides must have the same length.
So a square is also a rectangle and a rhombus. There is no square shape in the rectangle or rhombus. The trapezium shape is a parallelogram.
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet.
So, it is a rectangular garden.
Now, area = 5⅔ feet × 6⅚ feet
or, area = 17/3 feet × 41/6 feet
or, area = 697 /18 feet²
or, area = 38.72 feet²
To know more about area of rectangle refer to:
https://brainly.com/question/2607596
#SPJ1
Quentin places 58 fish in several tanks. If he places 8 fish in each tank, how many fish are not placed in the tanks but in a small fish bowl ins
Answers
Answer: 2 fishes
Step-by-step explanation:
From the question, we are informed that Quentin places 58 fish in several tanks and that he places 8 fish in each tank. This means the amount of tanks that'll be used will be:
= 58/8
= 7 2/8
Since 7 tanks will be used and each tank contains 8 fishes, the number of fishes will be: = 7 × 8 = 56
Since there are 58 fishes and 56 fishes are in the tank, there'll be a remainder of (58 - 56) = 2 fishes which will be placed in the small fish bowl.
Plss help me!! ASAP, first answer gets Brainlist! Here your choices, : Quadrant I, Quadrant II, Quadrant III, And Quadrant IV.
Answers
Choose the system of equations which matches the following graph:
Question 11 options:
1)
x − 2y = 8
2x + 4y = 12
2)
x − 2y = 8
2x − 4y = 12
3)
x + 2y = 8
2x + 4y = 12
4)
x + 2y = 8
2x − 4y = 12
Thanks for helping me!
Answers
Answer:
3
Step-by-step explanation:
the equations of the lines are y= -1/2x+3(red) and y= -1/2x+4(blue)
rearrange the equations to find a match
1. y= -1/2x+ 4
y= -1/2x+3
2. y= 1/2x+4
y= 1/2x+3
3. y= -1/2x+4
y= -1/2x+3
4. y= -1/2+4
y= 1/2x-3
please please help middle school math I really need it I will give you brainliest I promise! PICTURE INCLUDED!
Answers
The starting point is in quad Q and the checkpoint is in P. The checkpoint is the starting point reflected across the Y axis.
Find the volume of this figure, rounded to the nearest whole number. DO NOT INCLUDE THE UNIT OF MEASURE!
Answers
Answer:
483
Step-by-step explanation:
A=1/2(a+b)h
A = 96.6
V = A x h
V = 96.6 x 5
V=483
Write an expression for the cost of a drink and popcorn for one person
Answers
Answer:
popcorn is usually around 5 dollars and a drink is 3 so: 5 x 3
Step-by-step explanation:
Answer:
drink (d) + popcorn (p) = total cost
( 25 points!!!)pls answer this all plss
Answers
Answer:
1. the second one.
2. 7 faces
3. im not positive but I believe its 9
4. 24/3 = 8 30/7 30/7= 4 and 2/7
5. underline the second, third, and 4th
6. 195 minutes. 3 hours and 25 minutes
7. 768
8. 4/2, 20/5, 16/2, 30/3
9. 20
10. 6 7/10, 10 4/5, 15 8/20
11. 0.2
12. 0.2
13. Monday and Friday
14. 3rd also known as the rhombus
15. between 6,000 and 7,000
16. equal to
Step-by-step explanation:
I hope this helps :))
If you can help me with these 4 questions I'll give you brainliest :))
Answers
Answer:
Mode: None
Range: 14
Median: 5.5
Mean: 6
Hope this helps!
Answer:
9. The mode is: There is no mode all the numbers occur once.
10. The range is: 14
11. The median is: 5.5
12. The mean is: 6
Consider the piecewise function.
f (x) = StartLayout Enlarged left-brace first row 2 x, x less-than 1 second row negative 4, x = 1 third row x + 8, x greater-than 1 EndLayout
The function has a discontinuity at x = 1. What are Limit of f (x) as x approaches 1 minus and Limit of f (x) as x approaches 1 plus?
Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus.
Limit of f (x) = 9 as x approaches 1 minus. Limit of f (x) = 2 as x approaches 1 plus.
Limit of f (x) = negative 4 as x approaches 1 minus. Limit of f (x) = negative 4 as x approaches 1 plus.
Limit of f (x) D N E as x approaches 1 minus. Limit of f (x) D N E as x approaches 1 plus.
Answers
Answer: A.
= 2
= 9
Step-by-step explanation:
edge2021
Answer:
A
Step-by-step explanation:
EDGE
Three people are sitting on a bus. Julian is seated 4 meters directly behind Elena and 3 meters directly left of Isabella. How far is Elena from Isabella?
Answers
Answer:
sq root of 21=7
Step-by-step explanation:
we need to use Pythagoras theorem
so distance(isa-jul)^2 +distance(ele-jul)^2= distance(isa-ele)^2
now just do the square root and there you go.
For the following data set, find Q1, Q2, Q3 and the interquartile range.
15, 12, 23, 15, 7, 8, 21, 10, 12, 14, 16, 24, 19
Answers
Answer: q1=11 q2=15 q3=20
Step-by-step explanation:
-15 POINTS-
Don’t explain.
Y=[?]
Answers
Step-by-step explanation:
of course I need to explain it, since you don't know how to get it. that is the purpose of Brainly. not to be a calculator slave to you, but to enable you to solve similar problems on your own in the future.
both shapes are similar.
that means that
1. both have the same angles
2. there is one common scaling factor for all pairs of corresponding sides (and other lengths as heights, ...).
we need 2. here to solve.
AB / EF = f = 3/2
x = AD
x / EH = f = 3/2
x / 2.4 = 3/2
x = 2.4 × 3/2 = 7.2 / 2 = 3.6
One end of a cable is attached to the top of a flagpole and the other end is attached 6 feet away from the base of the pole.
If the height of the flagpole is 6 feet, find the length of the cable.
Answers
i think it 134
sorry if it wrong
Choose the function that represents the data in the table.
0
-3
1
-1
2
1
3
3
4
5
5
7
O f(x) = - 3
f(x) = 2x-3
f(x) = x2-3
f(x) = 2x2-3
Answers
Answer: C
Step-by-step explanation:
i just took the test of edg2021
The function hat represents the data in the table is :
f(x) = 2x² - 3.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to find the function that represents the data in the table.
The given table is -
{x} 0 1 2 3 4 5
{y} -3 -1 1 3 5 7
The function that will be represented by the table will be such that the coordinates of {x} and {y} will be satisfied by that function. The function that satisfy the given coordinates in the table is → y = 2x² - 3. So, it can be concluded that the function that represents the data in the table is : f(x) = 2x² - 3.
Therefore, the function hat represents the data in the table is :
f(x) = 2x² - 3.
To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
#SPJ7
Watch help video
If p and q vary inversely and pis 11 when q is 18, determine q when p is equal to 9.
Answers
Answer:
q = 22
Step-by-step explanation:
Given that,
p and q are inversely proportional to each other i.e.
[tex]p=\dfrac{k}{q}[/tex]
Put p = 11 and q = 18
So,
[tex]11=\dfrac{k}{18}\\\\k=11\times 18\\\\k=198[/tex]
Now put k = 198, p = 9 and find q. So,
[tex]q=\dfrac{k}{p}\\\\q=\dfrac{198}{9}\\\\q=22[/tex]
Hence, the value of q is equal to 22.
Visually estimate the location of the centroid of the region shown. Then find the exact coordinates of the centroid.
y=49-x², y = 0
Answers
Therefore exact coordinates of Centroid = (0,3/2)
Define Centroid.The centroid of a flat figure or solid figure, also known as the geometric center or center of figure, in mathematics and physics, is the arithmetic mean position of all the points on the figure's surface. Any n-dimensional Euclidean object is included by the same definition.
What is Triangle?A polygon having three edges and three vertices is called a triangle. It is one of the fundamental geometric forms. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
This region is a parabola opening downward, with vertex at (0, 49) and a range of y values from 0 to 49. The region is symmetric about the y-axis, This means that the x-coordinate of the centroid is at 0.
To find the y-coordinate:
Integral from -√(49) to √(49) of (49-x²) x dx = [x²(49-x²)/3] from -√(49) to √(49) = (492√(49))/3 = (98√(49))/3
The area is integral from -√(49) to √(49) of (49-x²) dx = [x(49-x²)/2] from -√(49) to √(49) = (49*(2√(49)) - (2/3)(49^(3/2)))/2 = (49*(2*√(49)) - (98√(49))/3)/2
Therefore Centroid = (0, (98√(49))/(49*(2*√(49)) - (98√(49))/3)) = (0,3/2)
To learn more about geometry visit:
https://brainly.com/question/7558603
#SPJ1
A college has an acceptance rate of about 21% if 8700 students apply about how many will be accepted
Answers
Answer:
1827
Step-by-step explanation:
Answer:
1827
Step-by-step explanation:
21% of 8700 = 1827
Mark as Brainliest
Someone help me please :(
Answers
9514 1404 393
Answer:
A. ∠EAG and ∠BAC
Step-by-step explanation:
Vertical angles share a vertex and have opposite rays for sides.
Rays AE and AB are opposite; rays AG and AC are opposite. These are the only pairs of opposite rays in the figure, so the vertical angles must be constructed from one of the rays of the first pair and one of the rays of the second pair. ∠EAG and ∠BAC are a pair of vertical angles.
The other pair is ∠EAC and ∠BAG.
what is between 3.25 and 3.26
Answers
Answer:
3.251, 3.252, 3.253, 3.254, 3.255.......3.259
Step-by-step explanation:
Answer:
3.251, 3.252, 3.253, 3.254, 3.255, 3.256, 3.257, 3.258 , and 3.259
Step-by-step explanation:
Find the missing length indicated. Leave your answer in simplest radical form.
Please help due today!!
Answers
The triangle given by 9, unknown, and 15 and the triangle given by 15, unknown, and x are similar triangles and therefore 9:15 = 15:x
X is 25 in this case
(x+8)² find the product, please
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation: