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4 years ago

What is the quadratic regression equation that fits these data?

Mathematics

1 answer:

julsineya [31]4 years ago

5 0

Answer:

$y=-x^2+3x+11$

Step-by-step explanation:

The given data table is

Number of seconds : 0 1 2

Height (in feet) : 11 13 13

We need to find quadratic regression equation that fits these data.

The general form of quadratic regression equation is

$y=ax^2+bx+c$ .... (1)

Using the graphing calculator we get

a = -1 , b = 3 and c=11

Substitute these values in equation (1), to find the quadratic regression equation that fits these data.

$y=(-1)x^2+(3)x+(11)$

$y=-x^2+3x+11$

Therefore, the quadratic regression equation that fits the data is $y=-x^2+3x+11$ .

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Tatami mats are used as a floor covering in japan. One possible layout uses four identical rectangular mats and one square mat,

Maksim231197 [3]

a) Given

Total area = 81 feet squared.

Let the area of the square mat = x feet.

From question, area of the rectangular mat is twice that of square mat.

So, the area of the rectangular mat $= 2 x$ feet.

Now,

Total area = 81 feet squared

Then,

$4(2 x) + x = 81\\ \\ 9 x = 81\\ \\ x = \frac{81}{9}\\ \\ x = 9\\$

Hence the area of the one rectangular mat = 2*9 = 18 feet squared

b) Let the width of the rectangular mat = y feet.

Then length of the mat = 2 y feet.

Area of the rectangle $= 2 y* y = 2 y^{2}$

and area of rectangle = 18 feet squared.

So,

$2 y^{2} = 18\\ y^{2} = 9\\ y= \pm3\\$

Width can not be negative.

Hence, the width of the rectangular mat = 3 feet

and length of the rectangular mat = 3*2 = 6 feet

8 0

3 years ago

Slove for x: x+1/3=1/4

lana [24]

Hey!

To solve this problem, we must subtract one over three from both sides of the equation. This will give us x on its own.

Original Equation :
$x + \frac{1}{3} = \frac{1}{4}$

New Equation {Added Subtract $\frac{1}{3}$ to Both Sides} :
$x + \frac{1}{3} - \frac{1}{3} = \frac{1}{4} - \frac{1}{3}$

Solution {New Equation Solved} :
$x=- \frac{1}{12}$

So, this means that in the equation provided, $x=- \frac{1}{12}$ .

Hope this helps!

- Lindsey Frazier ♥

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%288%20%2B%204%20%2B%203%29%20%2B%20%286%20%2B%205%20%2B%2011%29%20%3D%20" id="TexFormula1" ti

marta [7]

Answer:

= 37

Step-by-step explanation:

(8+4+3) + (6+5+11)

= 15 + 22

= 37

3 0

4 years ago

A trapezoid has an area of 13.5 square inches. If the bases are 3 and 6 inches what is the height?

liraira [26]

Well the formula is : b1+b2/2 (h)

so the height would be solved as :
13.5 = 3+6/2 (h)
13.5 = 9/2 (h)
h = (13.5)/(9/2)
h = (13.5) x (2/9) *reciprocal*
h = (27) / (9)
h = 3

5 0

3 years ago

6 = a/4 + 2 What’s the answer for the variable a?

Vikki [24]

Answer:

a = 16

Step-by-step explanation:

6 = a/4 + 2

4 = a/4 Subtract 2 from both sides

16 = a Multiply 4 to both sides

7 0

3 years ago

Read 2 more answers