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#1
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Mutiple Regression output
I have to do a multiple regression in excel with regression tool(with 4 variables). I successfully got it to work, and a lot of charts and graphs are out putted. My question has to do with one of the charts. One of the charts has columns labled "Coefficients", what does this mean? I thought it was the slop (b) of the least squares line for each variable. However some of the values in the coefficients are negative, but if you look at the output charts the correlation go in a positive direction for these variables. another question i have is on the graphs on noticed that there are two types output graphic in excel what are the differences? -- happycow ------------------------------------------------------------------------ happycow's Profile: http://www.excelforum.com/member.php...o&userid=25701 View this thread: http://www.excelforum.com/showthread...hreadid=391128 |
#2
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happycow -
I have to do a multiple regression in excel with regression tool(with 4 variables). I successfully got it to work, and a lot of charts and graphs are out putted. My question has to do with one of the charts. One of the charts has columns labled "Coefficients", what does this mean? < The summary output of the Regression tool has a worksheet column "Coefficients." (There is no chart with such a column.) I thought it was the slop (b) of the least squares line for each variable. However some of the values in the coefficients are negative, but if you look at the output charts the correlation go in a positive direction for these variables. < In a multiple regression analysis, the coefficients are "net regression coefficients" or "partial slopes." Each coefficient measures the average change in Y for a unit change in an X, assuming the other X values are held constant (or, after taking into account the other X effects). The overall pattern of Y vs X may be positive, but after taking the other X variables into account, the net effect may be negative. another question i have is on the graphs on noticed that there are two types output graphic in excel what are the differences? < One kind of chart shows Y vs X, along with fitted Y. Another shows residuals (Y minus fitted Y) vs X. - Mike www.mikemiddleton.com |
#3
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Mike's analysis and advice is dead on, per usual. If you want more
information on MR theory (as distinct from how Excel does MR) and how betas differ from correlations, you'll find a wonderful discussion in Kerlinger & Pedhazur, a classic published by Holt Rinehart, 1973 -- there's a more recent edition dated 1986, I think. BTW, I too have long felt that the coefficients were the slop of the least squares line (g). C^2 Conrad Carlberg |
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