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STATISTICS FORMULAS - bls-stats

Reference: Moore DS, McCabe GP & Craig BA. Introduction to the Basic Practice of STATISTICS . New York: Freeman & Co, 5th edition. STATISTICS FORMULAS DESCRIPTIVE STATISTICS : MEAN: VARIANCE: STANDARD DEVIATION: STANDARD ERROR: Z-SCORE: REGRESSION LINES: For a data set , where () are the centroids (means) of the data set, and is the correlation coefficient: LEAST-SQUARES REGRESSION LINE: + RESIDUALS: SSM SSE SST = SSM+SSE COEFFICIENT OF DETERMINATION: r2 = CORRELATION COEFFICIENT: r = SLOPE: INTERCEPT: VARIANCE: ST DEV: STANDARD ERROR b1: SEb1 = STANDARD ERROR bo: SEb0 = CONFIDENCE LEVEL FOR THE INTERCEPT : t*SEb0 CONFIDENCE LEVEL FOR THE SLOPE: : t*SEb1 PREDICTION INTERVAL: HYPOTHESIS TESTING MEANS: STANDARD ERROR: MARGIN OF ERROR: m = or m = CONFIDENCE INTERVAL: = SAMPLE SIZE FOR A GIVEN m: ONE SAMPLE Z-TEST: T-TEST: TWO SAMPLE Z-TEST: TWO SAMPLE T-TEST: PROPORTION: , where X= number of successes STANDARD ERROR: MARGIN OF ERROR: m = Z-TEST, ONE-SAMPLE PROPORTION: STD ERR, 2-SAMP PROP.

square root of one divided by the number of data points plus the mean of all x’s squared, symbolized by x-bar squared, divided by the sum of all x data points, symbolized by x-sub-I minus the mean of all x data points, symbolized by x-bar, squared.

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