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When does it make sense to chose a linear function to model a set of data?
Wiki User
∙ 10y ago
If a linear model accurately reflects the measured data, then the linear model makes it easy to predict what outcomes will occur given any input within the range for which the model is valid.
I chose the word valid, because many physical occurences may only be linear within a certain range. Consider applying force to stretch a spring. Within a certain distance, the spring will move a linear distance proportional to the force applied. Outside that range, the relationship is no longer linear, so we restrict our model to the range where it does work.
Wiki User
∙ 10y ago
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Why is slopes and linear function so important?
First of all, many relationships are inherently linear. For example, distance travelled is a linear function of time where the slope is speed. Beyond that, linear functions are extremely simple. Because of this they can be used to model pieces of more complicated functions in a simple way. Thus, you can study the properties of the complicated function by studying a piece of it at a time, in a sense. Many mathematical objects can be said to behave as linear operators. This means that a firm undertstanding of lines, slopes and linear functions transfers to these objects. Linearity is fundamental to a great deal of mathematics.
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How many linear feet is 13 sf?
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What is the difference between linear feet and lineal feet?
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How many linear inches is 71 cm x 36 cm x 33 cm?
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Why is it helpful to use a linear model for a set of data?
when does it make sense to choose a linear function to model a set of data
Why is slopes and linear function so important?
First of all, many relationships are inherently linear. For example, distance travelled is a linear function of time where the slope is speed. Beyond that, linear functions are extremely simple. Because of this they can be used to model pieces of more complicated functions in a simple way. Thus, you can study the properties of the complicated function by studying a piece of it at a time, in a sense. Many mathematical objects can be said to behave as linear operators. This means that a firm undertstanding of lines, slopes and linear functions transfers to these objects. Linearity is fundamental to a great deal of mathematics.
Is the sine function linear?
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What is the linear feet of 8'x2'?
doesn't make sense.
The sense organs for your vestibular sense are the?
Otoliths sense linear accelerations. The semicircular canal system sense rotations. Both are located in the inner ear.
Why was the common sense called common sense?
Common Sense was called 'common sense' because Thomas Paine chose to call it that.
Function of a sensor?
to sense
Artists of the renaissance use linear perspective to give their paintings a sense of?
Depth.
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To sense electrical fields.
What is the function of the sense organ?
kSiOlAjIdEbT
What is the function nose?
The sense of smell.
What is the linear texture in Indian Raga mean?
There is no sense of harmony in Indian raga music - the emphasis is placed purely on the melody and therefore linear in concept.
