Study Comm215 Formulas

Study Comm215 - Comm 215 Equation Sheet Standard Deviation of Sample Mean σx = σ n Confidence Interval for Mean σ known Z‐Score

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Unformatted text preview: Comm 215 Equation Sheet Standard Deviation of Sample Mean σx = σ n Confidence Interval for Mean ( σ known) Z‐Score standardization z= σ x ± z∗ Z‐Test for the Mean of a Population ( σ known) z= n x−μ σ x − μo σ n Confidence Interval for Mean (σ known) x ± z∗ σ n x − μo with n – 1 degrees of freedom s n ) p − p0 t‐test for the Mean of a Population (σ unknown) t= Large‐Sample Z‐Test for a Proportion z= χ =∑ fe = ∑ ∑ (Y − Y j ) 2 = ∑ (n j − 1) s j 2 ∑∑ (Y − Y ) = ∑∑ Yij − Chi‐Square Test Statistic p 0 (1 − p o ) n 2 (ni − E (ni ) )2 E ( ni ) Expected Frequency for Two Way Table. Sum of Squares Error (SSE) ( sum of row)( sum of column) total ij ij Sum of Squares Total (SSTO) 2 (∑∑ Y ij ) 2 nT ⎛ ∑ xi ∑ yi ⎞ ⎜ ∑ xi yi − ⎟ n ⎠ $ − y)2 = ⎝ ∑ ( yi (∑ xi ) 2 ∑ xi 2 − n SSR SSE R2 = = 1− SSTO SSTO 2 Sum of Squares Regression (SSR) Coefficient of Determination We’ve helped over 60,000 students get better grades since 1999! Need help for exams? Check out our classroom prep sessions - customized to your exact course - at www.prep101.com b1 = ∑ ( x − x)( y − y) ∑ ( x − x) x y ∑x y − ∑ ∑ i i 2 i i Estimate for the regression slope = i =r Estimate for the regression intercept i i n (∑ xi ) 2 2 ∑ xi − w ww.prep101.com n sy sx bo = y − b1 x SSR p −1 SSE n− p t* = Mean Square Regression (MSR) Regression – Mean Square Error (MSE) Significance Test for Regression Slope MSE (∑ xi )2 2 ∑ xi − n bo ± tα / 2,n− p sbo Confidence Interval for Regression Intercept Confidence Interval for Regression Slope b1 − β1 , sb1 = sb1 sbo = ⎛ 1 MSE ⎜ + ⎜n ⎝ bo ± tα / 2,n− p sb ⎞ x ⎟ 2⎟ ∑ ( xi − x) 2 ⎠ 1 Our Course Booklets - free at prep sessions - are the “Perfect Study Guides.” ...
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This note was uploaded on 03/12/2010 for the course COMM 215 taught by Professor Ghatri during the Fall '08 term at Concordia Canada.

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