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econometrics terms/formulas

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256433116quadratic function formulax = -b +- SR (b^2-4ac) ------------------- 2a
256433117negative valueprofit max under 2nd order condition
256433118declining balance methodannual depreciation (Rn) =d.Bn-1 Book value (Bn) =c(1-d)^N note c=initial value, N=years, d=dep. rate
256433119straight line methodannual depreciation (Rn) = C-Sa -------- N note C-initial value, Sa=salvage value, N=years
256433120target savingamount needed to be saved = r.FV ------------ (1+r)^n -1 note r=interest rate, FV=future value, n=years
256433121perpetuityamount totalled = R((1+r)^n-1) ---------------- r note R=periodic payment, r=interest rate, n=years
256433122effective interest ratesolve for 'x' where: (1+r/c)^c-1 = (1+x/y)^y-1 c= no yearly interest payments r=rate of interest y=desired no yearly interest payments
256516888class relative frequencyclass frequency ___________________ total no. of observations
256516889varianceΣ(fm^2) - [(Σfm)^2/n] --------------------------------- n - 1 where f=frequency, m=midpoint of class interval
256516890standard deviationSquare root of variance
256516891conditional probabilityP(I|G) = P(I and G) -------------- P(G)
256523187intersectionP(AnB)
256523188unionP(AuB) A or B
256523189dependent intersectionP(AnB) = P(A) x P(B|A)
256523190independent intersectionP(AnB) = P(A) x P(B)
256523191z valuesz = x-u ----- o'
256523192varied sample sizez = (x-u) ----------- (σ/SR(n))
256538240confidance intervalά
256538241degrees of freedomn-1
256538242critical valueT(ά/2) AND n-1
256538243confidance interval estimator=x±t_(∝/2) S/√n
256538244simple linear regression model=b_0+b_1 x
256538245least square regression modelB_1 = ΣXY - [(ΣX x ΣY)/n] ----------------------------------------- ΣX^2 - [(ΣX)^2/n] B_0 = SumY/n-B_1 x (SumX/n)
256538246hypothesis testing(1) Hypothesis (2) Critical Value (3) Test statistic (4) Decision rule (5) Conclusion
256538247critical value-find confidance interval ά -determine if two tail (ie no alternatives) -degrees of freedom (n-2) -use t-table with (t_ά/2, n-2)
256538248test statistict = ^b^_1 - b_1 --------------- S_b1 note b_1=0, S_b1 is given, find ^b^_1 before
256538249decision ruleif |t_test statistic| > |t_critical| then reject null hypothesis
256538250conclusion-mention significance level -show equation from decision rule -relate back to question
256538251t statisticcoefficient ------------------ standard error
256538252coefficient of correlationmultiple R (from statistics table) strength + duration of linear relationships between two variables
256538253coefficient of determinationR^2 how well regression equation represents the data
256792056madmean absolute deviation
256792057madΣ|y-F| -------------- n where y=current, F=forecast
256792058ssfesum of squares forecasting error
256792059ssfeΣ(y-F)^2 where each formula is summed then added
256792060time series forecasting with regressionF=(^B^_0+^B^_1xT)xSI_t where SI_t=seasonal index for t and ^B^_0+^B^_1xt=linear trend value for period t
256792061calculator standard deviation(1) 'Statistics' (2) input values (3) check set, with 1 var freq. to list 2 (4) click 'calculate' (5) click '1-var' note xσ_(n-1)
256792062time series components-trend -cycle -seasonal component -random variation
256792063trendsmooth pattern, usually over a year
256792064cyclewavelike pattern, usually over a year
256792065seasonal componentcalender repetitve behaviour, usually under a year
256792066random variationirregular, unpredictable changes, hides other components
256792067k-period moving average-arithmetic average of time series -for time period 't' -starting at period 't' and moving 'k' period backwards
256792068simple aggregate price indexΣP_1 --------- x 100 ΣP_0 where P_1=price in current period and P_0=price in base year period
256792069laspeyes indexΣP_1xQ_0 -------------- x 100 ΣP_0xQ_0
256792070paasche indexΣP_1xQ_1 -------------- x 100 ΣP_0xQ_1
256792071Fisher Price IndexSQR(I_LPxI_LL)
256792072real pricenominal price ------------------ x 100 CPI
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