Ap Statistics Standard Error Formula
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test AP formulas FAQ AP study guides AP calculators Binomial Chi-square f Dist Hypergeometric Multinomial Negative binomial Normal Poisson t Dist Random numbers Probability Bayes rule Combinations/permutations Factorial Event counter Wizard Graphing Scientific Financial Calculator books AP calculator review Statistics AP study standard error formula excel guides Probability Survey sampling Excel Graphing calculators Book reviews Glossary AP practice exam Problems
Standard Error Formula Proportion
and solutions Formulas Notation Share with Friends AP Statistics Formulas This web page shows the formulas that are provided to students at
Standard Error Formula Regression
the Advanced Placement Statistics Exam. Students do not need to memorize these formulas for the exam, but they should know how to use the formulas. Each formula links to a web page that explains how to use
Standard Error Of Estimate Formula
the formula. Descriptive Statistics Sample mean = x = ( Σ xi ) / n Sample standard deviation = s = sqrt [ Σ ( xi - x )2 / ( n - 1 ) ] Pooled sample standard error = SEpooled = sqrt [ (n1 - 1) * s12 + (n2 - 1) * s22 ] / (n1 + n2 - 2) ] Simple linear regression line: ŷ = b0 + b1x Regression coefficient standard error of measurement formula = b1 = Σ [ (xi - x) (yi - y) ] / Σ [ (xi - x)2] Regression slope intercept = b0 = y - b1 * x Sample correlation coefficient = r = [ 1 / (n - 1) ] * Σ { [ (xi - x) / sx ] * [ (yi - y) / sy ] } Regression coefficient = b1 = r * (sy / sx) Standard error of regression slope = sb1 = sqrt [ Σ(yi - ŷi)2 / (n - 2) ] / sqrt [ Σ(xi - x)2 ] Probability Rule of addition: P(A ∪ B) = P(A) + P(B) - P(A ∩ B) Rule of multiplication: P(A ∩ B) = P(A) P(B|A) Expected value of X = E(X) = μx = Σ [ xi * P(xi) ] Variance of X = Var(X) = σ2 = Σ [ xi - E(x) ]2 * P(xi) = Σ [ xi - μx ]2 * P(xi) The following formulas assume that X has a binomial distribution, the probability of success is P, the number of trials is n, and the number of successes are x. And nCx refers to combinations. Binomial formula: P(X = x) = b(x; n, P) = nCx * Px * (1 - P)n - x = nCx * Px * Qn - x Me
test AP formulas FAQ AP study guides AP calculators Binomial Chi-square f Dist Hypergeometric Multinomial Negative binomial Normal Poisson t Dist Random numbers Probability Bayes rule Combinations/permutations Factorial Event counter Wizard Graphing Scientific Financial Calculator books AP calculator review Statistics AP study guides Probability Survey sampling Excel Graphing calculators Book pooled standard error formula reviews Glossary AP practice exam Problems and solutions Formulas Notation Share with Friends Important Statistics Formulas standard error formula for 2 sample t test This web page presents statistics formulas described in the Stat Trek tutorials. Each formula links to a web page that explains how to use the standard error formula econometrics formula. Parameters Population mean = μ = ( Σ Xi ) / N Population standard deviation = σ = sqrt [ Σ ( Xi - μ )2 / N ] Population variance = σ2 = Σ ( Xi - μ )2 http://stattrek.com/ap-statistics/formulas.aspx / N Variance of population proportion = σP2 = PQ / n Standardized score = Z = (X - μ) / σ Population correlation coefficient = ρ = [ 1 / N ] * Σ { [ (Xi - μX) / σx ] * [ (Yi - μY) / σy ] } Statistics Unless otherwise noted, these formulas assume simple random sampling. Sample mean = x = ( Σ xi ) / n Sample standard deviation = s = sqrt [ Σ ( http://stattrek.com/statistics/formulas.aspx xi - x )2 / ( n - 1 ) ] Sample variance = s2 = Σ ( xi - x )2 / ( n - 1 ) Variance of sample proportion = sp2 = pq / (n - 1) Pooled sample proportion = p = (p1 * n1 + p2 * n2) / (n1 + n2) Pooled sample standard deviation = sp = sqrt [ (n1 - 1) * s12 + (n2 - 1) * s22 ] / (n1 + n2 - 2) ] Sample correlation coefficient = r = [ 1 / (n - 1) ] * Σ { [ (xi - x) / sx ] * [ (yi - y) / sy ] } Correlation Pearson product-moment correlation = r = Σ (xy) / sqrt [ ( Σ x2 ) * ( Σ y2 ) ] Linear correlation (sample data) = r = [ 1 / (n - 1) ] * Σ { [ (xi - x) / sx ] * [ (yi - y) / sy ] } Linear correlation (population data) = ρ = [ 1 / N ] * Σ { [ (Xi - μX) / σx ] * [ (Yi - μY) / σy ] } Simple Linear Regression Simple linear regression line: ŷ = b0 + b1x Regression coefficient = b1 = Σ [ (xi - x) (yi - y) ] / Σ [ (xi - x)2] Regression slope intercept = b0 = y - b1 * x Regression coefficien
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