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How to use FSBforecast Excel add-in for regression analysis

How to use FSBforecast Excel add-in for regression analysis

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If the Time Series Data box is checked on the <strong>regression</strong> <strong>in</strong>put panel, then many <strong>add</strong>itional trans<strong>for</strong>mations are<br />

available which are specific <strong>to</strong> time series, such as comput<strong>in</strong>g lagged values, or changes from one period <strong>to</strong><br />

another, or percentage changes from one period <strong>to</strong> another, or adjust<strong>in</strong>g <strong>for</strong> <strong>in</strong>flation us<strong>in</strong>g a fixed rate of<br />

deflation:<br />

Additional trans<strong>for</strong>mations that are<br />

specific <strong>to</strong> time series data: lags,<br />

differences, and deflation. These are only<br />

available when the “Time Series Data” box<br />

is checked on the <strong>regression</strong> <strong>in</strong>put panel.<br />

Scal<strong>in</strong>g of variables: The coefficients <strong>in</strong> the <strong>regression</strong> equation and <strong>regression</strong> summary table are displayed <strong>in</strong><br />

fixed <strong>for</strong>mat with 3 decimal places. Normally this is f<strong>in</strong>e <strong>for</strong> a wide range of units of measurement, but if your<br />

dependent and <strong>in</strong>dependent variables are measured <strong>in</strong> units that are “poorly scaled” relative <strong>to</strong> each other (e.g.<br />

one measured <strong>in</strong> dollars and another measured <strong>in</strong> millions or billions of dollars), the coefficients may end up<br />

display<strong>in</strong>g as zeros <strong>in</strong> 3‐decimal‐place <strong>for</strong>mat beca<strong>use</strong> their estimated values are less than 0.0005, even though<br />

they are statistically significant. Keep <strong>in</strong> m<strong>in</strong>d that the value of a <strong>regression</strong> coefficient is measured <strong>in</strong> “units of Y<br />

per unit of X”, whatever those units may be. If you are puzzled <strong>to</strong> f<strong>in</strong>d zeros or very small numbers <strong>in</strong> the model<br />

equation or table of <strong>regression</strong> coefficients, when the model otherwise seems reasonable, you should consider<br />

rescal<strong>in</strong>g some of the variables. For example, if an <strong>in</strong>dependent variable has a coefficient that is displayed as zero<br />

despite be<strong>in</strong>g statistically significant (as <strong>in</strong>dicated by a large t‐stat and a small P‐value), consider rescal<strong>in</strong>g it <strong>in</strong><br />

thousands of its orig<strong>in</strong>al units, so that its values are smaller by a fac<strong>to</strong>r of 1000, which will <strong>in</strong>crease its estimated<br />

coefficient by the same fac<strong>to</strong>r while leav<strong>in</strong>g the t‐stat and P‐value unaffected. Alternatively, you might rescale the<br />

dependent variable so that its values are larger rather than smaller. In the car data example above, the<br />

coefficients of RevsPerMile and Weight were on the order of 0.002 and ‐0.008 respectively, so they were<br />

displayed with only one significant digit of precision. Some re‐scal<strong>in</strong>g of variables might be helpful there. For<br />

example, you could create a new dependent variable called GallonsPer100Miles by multiply<strong>in</strong>g GallonsPerMile by<br />

100. This would <strong>in</strong>crease the values of all the estimated coefficients by a fac<strong>to</strong>r of 100, other th<strong>in</strong>gs be<strong>in</strong>g equal.<br />

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