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Dependent Variable (placed on vertical axis: y)PowerPoint Presentation

Dependent Variable (placed on vertical axis: y)

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### All about the LOBF… Explain.

### Which one of these is the best LOBF?

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

### Using our height and humerus data…

### Using our height and humerus data…

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:
- 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)

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

- 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?

- 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

Line of Best Fit Explain.

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

#2 Explain.

#1

#4

#3

And what is wrong with the others?

Line not in middle of points

Doesn’t model trend

Wrong for all kinds of reasons!

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

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)

- Fill in blanks on handout not actually recorded or plotted.

Extend the line! not actually recorded or plotted.

Is this interpolation or extrapolation?

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

181 cm tall

exptrapolation

Is this interpolation or extrapolation? not actually recorded or plotted.

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

28 cm long

interpolation

Makin’ sure you get it! not actually recorded or plotted.

See bottom of handout

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