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Slope, 287 slope – Apple iWork '09 User Manual

Page 287

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Chapter 10

Statistical Functions

287

SLOPE

The SLOPE function returns the slope of the best-fit line for the collection using linear
regression analysis.

SLOPE(y-values, x-values)

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y-values: The collection containing the y (dependent) values. y-values is a collection
that can contain number, date/time, or duration values. All values must be of the
same type.

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x-values: The collection containing the x (independent) values. x-values is a
collection that can contain number, date/time, or duration values. All values must be
of the same type.

Usage Notes

The two collections must be of the same size or the function returns an error.

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If, for example, you had data on the driving speed of a vehicle and its fuel efficiency

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at each speed, fuel efficiency would be the dependent variable and driving speed
would be the independent variable.
To find the y-intercept of the best-fit line, use the INTERCEPT function.

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Example

In this example, the SLOPE function is used to determine the slope of the best-fit line for the
temperature that this hypothetical homeowner has set on the thermostat (the dependent variable),
based on the price of heating oil (the independent variable).

=SLOPE(B2:B11, A2:A11) evaluates to approximately -3.2337, indicating a best-fit line sloping
downward (as prices rose, the thermostat was lowered).

Related Topics
For related functions and additional information, see:

“INTERCEPT” on page 262

“Listing of Statistical Functions” on page 225

Value Types” on page 36