All categories

3 years ago

Write an equation in slope intercept form for the trend line shown below.

Mathematics

2 answers:

masha68 [24]3 years ago

6 0

Step-by-step explanation:

Given line is passing through the points (3, 60) & (6, 50)

Therefore, slope of line:

$m = \frac{50 - 60}{6 - 3} = - \frac{10}{3} \\ y - intercept \: (b) = 70 \\ equation \: of \: line \: in \: slope \: intercept \\ form \: is \: given \: as : \\ y = mx + b \\ \huge \red{ \boxed{\therefore \: y = - \frac{10}{3} x + 70}} \\ which \: is \: the \: required \: equation.$

padilas [110]3 years ago

3 0

Answer:

Step-by-step explanation:

Slope-Intercept form is y=mx+b

m is the slope and b is the y-intercept

You can use any ordered pairs but I suggest ones that touch down on an intersect like (0,70) and (3,60)

slope= $\frac{y^{2} -y^{1} }{x^{2} -x^{1} }$

slope using (0,70) and (3,60)= $-\frac{10}{3}$

The y-intercept is 60 since its the number that touches the y-axis

So the equation for the trend line is

$y=-\frac{10}{3} x+70$

You might be interested in

A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representa

Aleksandr [31]

Answer:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

Step-by-step explanation:

For this case we have the following data:

Miles Traveled x: 2,3,10,7,8,15,3,1,11

Sales y :31,33,78,62,65,61,48,55,120

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =60$

$\sum_{i=1}^n y_i =553$

$\sum_{i=1}^n x^2_i =582$

$\sum_{i=1}^n y^2_i =39653$

$\sum_{i=1}^n x_i y_i =4329$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33$

And the slope would be:

$m=\frac{642.33}{182}=3.529$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.67$

$\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.44$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.44-(3.529*6.67)=37.91$

So the line would be given by:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

4 0

3 years ago

A rectangular room is 12 1/2 feet long and 10 1/3 feet wide. what is the area of the room

beks73 [17]

Answer:

The area is 775/6 square ft²

Step-by-step explanation:

Multiply 12 1/2 by 10 1/3 to find the area

6 0

3 years ago

The students in a club are selling flowerpots to raise

BARSIC [14]

Pe is the answer he heft ty high

6 0

3 years ago

please help me understand tell me what the answer is and explain I will give all my points. Thank You

Aleksandr-060686 [28]

Ok so Jesse is 10-15%
Margie is <10%
Pietro is >15%
Susana is 10%-15%
And I think Raul maybe >15%

Basically you can determine how far off they are by doing the number they guessed divided by the actual number (132) so for Jesse I did 120/132 and I got .909 and so on. Just take the two numbers after the decimal and that’s your percent. So the .909 is about 90% so now do 100% (of the 132) - 90 and you get 10. So I put 10%-15%

4 0

3 years ago

3/4 ÷ 7/8 = ?????<br><br> (Math fraction)

kogti [31]

3/4 ÷ 7/8 =

6/7 is the answer to your question.

8 0

3 years ago

Read 2 more answers