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Data Analysis, Statistics, and Probability Videos 36 videos

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TSI Math: Finding the Approximate Slope of a Scatterplot 17 Views


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Description:

Each minute of studying increased Wendy's quiz grade by approximately how many points?


Transcript

00:02

All right sy math shmoop ing people interpreting categorical and

00:06

quantitative data statistical measures That was the original title of

00:10

harry potter Actually a lot of people don't know that

00:12

okay the question when he has a quiz in math

00:15

class every day for the past ten days she has

00:18

kept track of her quiz grade and the amount of

00:20

time she studied the day before the data she collected

00:23

is shown in a scatter plot below Right here this

00:25

thing Use the information answer the next to question So

00:28

here we go Each minute of studying increased wendy's quiz

00:32

grade by approximately how many points Well wendy seems to

00:38

be ah studying pro here really If a minute of

00:41

studying increases their grade by ex points while then we

00:44

could say that studying increases her grade at a rate

00:47

of x points per minute Not coincidentally that second phrasing

00:51

sounds an awful lot like a description of slope The

00:54

rate of vertical change points per unit of horizontal change

00:58

one minute Imagine drawing a line through the data and

01:01

estimating and well the slope of that line Let's do

01:04

that so we can't calculate the exact slope of the

01:06

line to best fit Yet here to estimate it our

01:09

best bet is to use wendy's lowest and highest scores

01:12

We got ten minutes of studying earned wendy thirty points

01:15

and sixty minutes of studying earned her a hundred points

01:18

well increasing her study time by sixty minus ten or

01:22

fifty minutes increased her score by one hundred minus thirty

01:25

is seventy points right So slope is the vertical change

01:29

over the horizontal change or seventy points is to fifty

01:32

minutes or seven Fists are one point four points per

01:36

minute So each minute of studying increased wendy's grade by

01:39

about one point Four points Yeah The answer is b

01:43

and ah mei You do the same on shmoop please 00:01:46.087 --> [endTime] And then you know tell us about it

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