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1 year ago

Which equation represents a line that passes through the two points in the table?

Mathematics

1 answer:

Airida [17]1 year ago

3 0

B. When you substitute in the value of x and y, both sides with be equal.

y-3 = 2/3(x-3)
5-3 = 2/3(6-3)
2 = 2

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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]

Answer-

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" .

Solution-

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

I need help very soon.

babymother [125]

Answer:

i would be glad to help but i don't understand what to do

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

With one do I pick the right on e

katen-ka-za [31]

The answer is

B) 2n - 5

because it's -5 than twice the width (2n)

8 0

2 years ago

Are the events below independent or dependent? You roll a die and get a 5. You roll the die a second time and get another 5.

trasher [3.6K]

not sure there is no attachment

4 0

2 years ago

Let f(x) = x^2 – 81. Find f–1(x). Can someone double-check what I have?

Trava [24]

I hope this helps you

y=x^2-81

x^2=y+81

x=square root of y+81

f^-1 (x)= square root of x+81

5 0

3 years ago

Read 2 more answers