See: Moving Average - MA.
Not to be confused with an exponential moving average because, well, they have different names, so there’s a good chance (like 100%) that they’re different things.
A linearly weighted average is like a normal moving average, except that a linearly weighted moving average adds weight to more recent entries in a moving average, rather than giving each entry an equal weight in the arithmetic average.
Let’s say we had the following data on our Ugli Fruit harvest taken over a six-day period:
12, 14, 11, 10, 16, 18.
A regular moving average (using groups of three) would add up the first three values (12 + 14 + 11 = 37) and divide that value by three, giving us our first moving average of 12.33.
A linearly weighted moving average would multiply each of the same three entries by a weight with the most recent value getting the highest weight. Weights are usually numbered from one up to the number of entries.
That gives us (12 x 1) + (14 x 2) + (11 x 3) = 12 + 28 + 33 = 73. We then divide by the sum of the weights (1 + 2 + 3 = 6), which gives us 12.17.
Naturally, for both moving averages (the normal one and the linearly weighted one), we’d then move one entry down the line and calculate the next moving average, and repeat that until we reached the end of the data.
So think of a linearly iterated curve as one with a generally straight line; an exponent has curves. Teeter-totters versus the double black diamonds at a top-notch ski resort.
Related or Semi-related Video
Finance: What are moving averages?7 Views
Finance a la shmoop... what are moving averages? ooh I need another tissue that [Girl crying]
average I just can't get enough so moving okay yeah yeah that's not at all
what this term is about here's a chart here's a set of trailing averages 50-day
the blue line they're hundred-day the black line and 200-day the green line
there... note that we say trailing average why trailing? well people we lost our
crystal ball yeah Warren we know you took it [Warren Buffett eating dinner]
so averages for normal humans can only be trailing because trailing stockticker
closing prices give us data we can actually use stock averages don't take
future data that we're merely guessing at on their charts... only
real numbers that we can actually point to so here's the 50-day average for [50-day average for coca cola stock]
coca-cola stock KO in 2012 and if we move forward a year and change well here
it's a 50-day average right there looks a little bit different and while the 50
data input elements from its closing price each day vary so the average of
those data points will move and why do moving averages matter well for
fundamental analysts kinds of investors you know the people who care just about [Fundamental analyst people appear]
the cash flow and earnings and margins and revenue growth of companies well
really don't matter but for chartist types of investors that is those who
focus really only about trading trends and shapes and curves and the metrics
behind what patterns of stocks take in the future well, they matter a lot then
in fact the 200-day moving average is generally a kind of Chartist living [Priests in church]
Bible for most Wall Street traders and taking meaning from it is all about
recognizing patterns and then imputing likely future patterns based off of
those shapes for example if you're looking here at the peak of a Head and [Head and shoulders stock price graph]
Shoulders chart, the trailing average of this
say 50-day set here of data points is the line about here but if you move
forward and look at the back half well then the moving average is about here [Moving average lines moves]
and if you consider the entire chart well it's about here and the lines are
there in theory to give color as to what direction the
market or this given stock is heading and yep sometimes it works and sometimes
it doesn't [Man eating dinner with Warren Buffett]