Dependent variable placed on vertical axis y
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Dependent Variable (placed on vertical axis: y). A dependent variable is a variable dependent on the value of another variable. Independent Variable (placed on horizontal axis: x). The independent variable causes an apparent change in, or affects the dependent variable. Examples:

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Dependent Variable (placed on vertical axis: y)

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Dependent variable placed on vertical axis y

Dependent Variable(placed on vertical axis: y)

  • A dependent variable is a variable dependent on the value of another variable

Independent Variable(placed on horizontal axis: x)

  • The independent variable causes an apparent change in, or affects the dependent variable


Dependent variable placed on vertical axis y

  • Examples:

  • In a call centre, the number of customers serviced depends on the number of agents

  • At ski resort, the amount of sales, in $, depends on the amount of snow

  • The amount of bacteria on your hands depends on how often frequently you use hand sanitizer.

dependent variable (y)

independent variable (x)


Dependent variable placed on vertical axis y

Please Turn to Yesterday's Handout


Dependent variable placed on vertical axis y

positive

negative

no


Dependent variable placed on vertical axis y

Strong or Weak Correlation?

If the points nearly form a line, then the

correlation is ___________________.

If the points are dispersed more widely,

but still form a rough line, then the

correlation is _______________________.

strong

weak


Dependent variable placed on vertical axis y

  • Does age have a strong positive correlation with height? Explain.

  • Do you think the variables are placed appropriately on the axes?

  • c) Would weight vs. age show a strong positive correlation?

  • d) Can you think of a variable that does have a strong positive correlation with age?

  • e) Can you think of a variable that has a strong negative correlation with age?


Dependent variable placed on vertical axis y

Line of

Best Fit

…affectionately known as LOBF


All about the lobf

All about the LOBF…

  • shows a trend or pattern on a scatterplot

  • used to make predictions

How do I draw it?

What is it?

  • models the trend/pattern

  • models the trend/pattern

  • through as many points as possible

  • equal points above and below the line


Dependent variable placed on vertical axis y

Line of Best Fit

To be able to make predictions, we need to model the data with a line or a curve of best fit.

Guide for drawing a line of best fit:

1. The line must follow the ______________.

2. The line should __________ through as many points as

possible.

3. There should be ____________________________ of points

above and below the line.

4. The line should pass through points all along the line, not just

at the ends.

trend

pass

equal


Which one of these is the best lobf

#2

#1

#4

#3

And what is wrong with the others?

Line not in middle of points

Which one of these is the best LOBF?

Doesn’t model trend

Wrong for all kinds of reasons!


Dependent variable placed on vertical axis y

  • Return to front side of hand out and make lines of best fit on each of the given 6 graphs.


You can use lobf s to make predictions for values that are not actually recorded or plotted

You can use LOBF’s to make predictions for values that are not actually recorded or plotted.

Extrapolation

Interpolation

  • prediction involving a point outside the set of data

  • prediction involving a point within the set of data

(line needs to be extended)


Dependent variable placed on vertical axis y

  • Fill in blanks on handout


Using our height and humerus data

Extend the line!

Is this interpolation or extrapolation?

How tall would a person be that had a humerus of 44 cm?

181 cm tall

Using our height and humerus data…

exptrapolation


Using our height and humerus data1

Is this interpolation or extrapolation?

How long would a person’s humerus be that was 163 cm tall?

28 cm long

Using our height and humerus data…

interpolation


Dependent variable placed on vertical axis y

Makin’ sure you get it!

See bottom of handout


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