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3 years ago

Find the value of x.pease

Mathematics

2 answers:

Andrej [43]3 years ago

8 0

I think you forgot the question

Rudik [331]3 years ago

5 0

Can u show more info? What is the equation that x is in?

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Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the

Ad libitum [116K]

<u>Answer-</u>

<em>The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .</em>

<u>Solution-</u>

The independent variable / input variable= x = Number of years after 2000 ( = year-2000)

The dependent variable / output variable = y = Average cost in thousands of dollars

(The table has been attached herewith.)

To find the regression equation for a group of (x,y) points,

We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)

We know that,

$Slope=m=\frac{N\sum xy -\sum x\sum y}{N\sum x^{2}- (\sum x)^{2}}$

Putting the values from the table,

$m=\frac{(8 \times 1020.206)-(52 \times 150.894)}{(8 \times 3810)-(52^2)}$

( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )

$\Rightarrow m =\frac{8161.648-7846.488}{3040-2704} =\frac{315.16}{336}=0.937$

Now, for the y-intercept,

$c =\frac{\sum y -m(\sum x)}{N}$

Putting the values,

$c=\frac{150.894-(52 \times 0.937)}{8}=\frac{102.125}{8}=12.765$

Now, putting the values of c and m, in the Slope-Intercept formula,

$y=0.937x+12.765$

3 0

3 years ago

True or false the order of magnitude for the population of the United States is 4

ad-work [718]

Answer:

False

Step-by-step explanation:

Order of magnitude can mean different things in different contexts. In math, when we talk about order of magnitude, we generally mean the base-10 logarithm.

<h3>population order of magnitude</h3>

The population of the US is estimated at about 3.32×10^8 on 1 Jan 2022. The base-10 log of this number is about 8.52.

The order of magnitude of the US population is about 8.5, not 4.

7 0

2 years ago

Create three new exponential equations to represent Alison, Cindy, and Javier. Alison loves social media and likes for her posts

k0ka [10]

The new exponential equations to represent Alison, Cindy, and Javier would be 1/(1+e^-x) representing an s curve showing a lot of growth.

<h3>What is an exponential equation?</h3>

The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}.

Here, he new exponential equations to represent Alison, Cindy, and Javier would be 1/(1+e^-x) representing an s curve showing a lot of growth while Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

6 0

2 years ago

I’m currently working on my quadrilaterals unit (specifically with trapezoids & kites) and I need major help on a lot of the

allochka39001 [22]

Answer: 29.2

Step-by-step explanation:

The lengths of the two longer legs are both $\sqrt{8^2 + 4^2}=\sqrt{80}$