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3 years ago

9

What is a linear and non-linear trend?

1 answer:

trasher [3.6K]3 years ago

3 0

9514 1404 393

Explanation:

<u>Linear trend</u>

A linear trend is one that is best approximated by a straight line. Sometimes we use a straight-line approximation, even when it may not be a very good fit, because we are only interested in the sign of the slope, or its approximate magnitude. The parameters of a linear trend are about the easiest to calculate (though it doesn't matter much if an appropriate tool is used).

__

<u>Non-linear trend</u>

A non-linear trend is one that is best approximated by a curve other than a straight line. Trig functions (sine, cosine), exponential functions, quadratic functions are often used. Non-linear trends are not restricted to these kinds of functions.

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Andrew is about to leave for school. If he walks at a speed of 50 meters per minute, he will arrive 3 minutes after the bell rin

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The answer is: 13 minutes

Step-by-step explanation:

First Let us form equations with the statements in the two scenario

$time=\frac{distance}{speed}$

Let the time in which the bell rings be 'x'

1. If Andrew walks (50 meters/minute), he arrives 3 minutes after the bell rings. Therefore the time of arrival at this speed = (3 + x) minutes

$3 + x =\frac{distance}{50}\\distance = 50(3+x) - - - - - (1)$

2. If Andrew runs (80 meters/minute), he arrives 3 minutes before the bell rings. Therefore the time taken to travel the distance = (x - 3) minutes

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Next, collecting like terms:

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dividing both sides by 3:

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