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Mathematics 20 Online
OpenStudy (hoothoot23):

Meg plotted the graph below to show the relationship between the temperature of her city and the number of sweaters sold at a storePart A: In your own words, describe the relationship between the temperature of the city and the sale of sweaters in the city. (5 points) Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)

OpenStudy (hoothoot23):

OpenStudy (hoothoot23):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

Give me your thoughts on part A

OpenStudy (hoothoot23):

. You make a

OpenStudy (hoothoot23):

sorry hold on

OpenStudy (hoothoot23):

when the temperature in *C is higher there are less sweaters bought

jimthompson5910 (jim_thompson5910):

exactly

jimthompson5910 (jim_thompson5910):

so as the temperature goes up, the amount of sweaters sold goes down this means we have a negative correlation

jimthompson5910 (jim_thompson5910):

negative correlation means one variable goes up and the other goes down (or vice versa) positive correlation means both variables go up together or go down together

OpenStudy (hoothoot23):

okay

OpenStudy (hoothoot23):

positive is when they go up together

jimthompson5910 (jim_thompson5910):

or down together

OpenStudy (hoothoot23):

yea

OpenStudy (hoothoot23):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

So you finished part A?

OpenStudy (hoothoot23):

yea

OpenStudy (hoothoot23):

i already know how you can make a line of best fit

OpenStudy (hoothoot23):

i just dont know the slope and yintercept

jimthompson5910 (jim_thompson5910):

Here is one possibility

OpenStudy (hoothoot23):

yes that is

OpenStudy (hoothoot23):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

what two points lie on that blue line?

OpenStudy (hoothoot23):

[5,10] and [0,12]

jimthompson5910 (jim_thompson5910):

use parenthesis, not square brackets (5,10) and (0,12)

jimthompson5910 (jim_thompson5910):

what is the slope of the line through (5,10) and (0,12)

jimthompson5910 (jim_thompson5910):

slope formula \[\Large m = \frac{y_2 - y_1}{x_2 - x_1}\]

jimthompson5910 (jim_thompson5910):

subtract the y values subtract the x values (same order) divide the differences

OpenStudy (hoothoot23):

y=2 x=5

OpenStudy (hoothoot23):

2,5

OpenStudy (hoothoot23):

2.5*

OpenStudy (hoothoot23):

@jim_thompson5910

OpenStudy (hoothoot23):

am i right

jimthompson5910 (jim_thompson5910):

(5,10) and (0,12) subtract the y values 12 - 10 = 2 subtract the x values (same order) 0 - 5 = -5 Divide the differences ydiff/xdiff = 2/(-5) = -2/5 = -0.4

jimthompson5910 (jim_thompson5910):

The slope is m = -0.4

OpenStudy (hoothoot23):

oh

OpenStudy (hoothoot23):

I didnt do the right order

jimthompson5910 (jim_thompson5910):

The slope is negative since we go downhill as we move from left to right

OpenStudy (hoothoot23):

okay

jimthompson5910 (jim_thompson5910):

|dw:1463808716875:dw|

OpenStudy (hoothoot23):

is the y intercept 12

jimthompson5910 (jim_thompson5910):

yes

OpenStudy (hoothoot23):

so its y=-0.4x+12

OpenStudy (hoothoot23):

I think thats it thank you @jim_thompson5910 you have helped so much i do i give you a medal

OpenStudy (hoothoot23):

how do i give you a medal*

jimthompson5910 (jim_thompson5910):

clicking the "best response" button gives out the medal. I'm glad I could help out

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