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0 $begingroup$ Basically I came up with a function where I need to approximate it using the least squares method. I had no trouble computing the constants on MATLAB and got to the following plot: Now as you see the curves are approximately the same but not exactly. I'm looking for a rather sharp explanation to this? Is it because the function is very oscillatory? Is it because it constantly oscillates between negative and positive values? Can someone give me some insight about this? I really want to understand what I am obtaining. Thanks! numerical-methods matlab least-squares share | cite | improve this question asked Dec 18 '18 at 1:30

18 3 I have a friend who recently spent around seven hours of his day playing on the piano by himself. While around three hours was spent actually practicing, the other four were spent doodling or improvising. I've researched the problem without much luck. What are your thoughts on this? Can simply playing whatever comes to mind on a piano have any benefits to technique, understanding of chords and scales, performance, or anything else regarding one's ability to play the instrument? piano practice share | improve this question edited Mar 21 at 1:56 Victor Resnov