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TSI Math: If a Sick Tree Falls in a Linear Equation, Can Anybody Find the y-Intercept? 29 Views
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Description:
The equation y = -0.65x + 47.67 relates the number of intact plants (y) to the number of sick trees (x). What is the correct interpretation of the y-intercept?
- Data Analysis, Statistics, and Probability / Statistical Measures
- TSI Math / Data Analysis, Statistics, and Probability
- Test Prep / TSI
- TSI Mathematics / Data Analysis, Statistics, and Probability
- TSI / TSI Math
- Data Analysis, Statistics, and Probability / Statistical Measures
- TSI / TSI Mathematics
- Test Prep / TSI
Transcript
- 00:02
Ok ssa mass members here we go The equation y
- 00:05
equals negative point Six five x plus forty seven point
- 00:07
six seven relates the number of intact plants Why to
- 00:11
the number of sick trees one of the correct interpretation
- 00:14
of the y intercept Well when were interpreting a y
Full Transcript
- 00:22
intercept Whether in a plain old linear equation or from
- 00:25
a linear regression equation we're always gonna have the same
- 00:28
kind of interpretation This interpretation comes from the structure of
- 00:31
the co ordinates of a why intercept since a y
- 00:34
intercept must by definition be a point on the y
- 00:36
axis It must have a coordinate like this like zero
- 00:39
pound for pound is not the sign of a tweet
- 00:43
It's the value of the y intercept the x value
- 00:45
must be zero because we haven't gone left or right
- 00:48
on the coordinate plane there We just went out as
- 00:51
such when we interpret a why intercept We always say
- 00:54
when the x value or context for the x value
- 00:57
is zero The context of the y intercept is then
- 01:00
whatever the y intercept is our ex is the number
- 01:04
of sick trees while our why is the number of
- 01:06
intact plants That means our interpretation is when the number
- 01:11
of sick trees is zero i either very healthy We
- 01:14
expect the number of intact plants to be forty seven
- 01:18
point six Seven Okay you can be a little more
- 01:20
natural and just say well when there are no sick
- 01:22
trees we expect around forty seven point six Seven intact
- 01:24
plans Or we could just say c as in See
- 01:28
you later Shmoop
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