DISTRIBUTIONS on TI-83
CALCULATING r2
When you calculate a regression line, the value of r2 may not appear. If not, go to CATALOG and turn DagnosticsOn.
DISTRIBUTIONS on TI-83
Under DISTR menu (=2nd VARS)
Binomial : B(n,p)
|Probability distribution |binomialpdf (n,p) |
|Cumulative distribution |binomialcdf (n,p) |
|P(X = x) |binomialpdf (n,p,x) |
|P(X ≤ x) |binomialcdf (n,p,x) |
Examples
binomialpdf (2, 0.5) = {0.25, 0.5, 0.25}
binomialcdf (2, 0.5) = {0.25, 0.75, 1}
binomialpdf (2, 0.5, 1) = 0.5
binomialcdf (2, 0.5, 1) = 0.75
Normal : N(μ,σ)
|Probability density |normalpdf (x, μ, σ) |
|P (a ≤ X ≤ b) |normalcdf (a, b, μ, σ) |
Either σ, or σ and μ, can be omitted, in which case μ = 0 and σ = 1 are assumed.
Examples
normalcdf (-1, 1) = 0.68
normalcdf (-2, 2) = 0.95
normalcdf (-3, 3) = 0.997
Inverse Normal
To find x, given y:
|If P(-∞ < X ≤ x) = y, use invNorm (y, μ, σ) = x . |
Again, either σ, or μ and σ, can be omitted, in which case μ = 0 and σ = 1 are assumed.
Examples
invNorm (0.5) = 0 because P(-∞ < X ≤ 0) = 0.5,
invNorm (0.975) = 1.96 ≈ 2 because P(-∞ < X < 2) ≈ 0.975
t-distribution with n Degrees of Freedom: T(n)
|Probability density |tpdf (x, n) |
|P (a ≤ X ≤ b) |tcdf (a, b, n) |
[pic]-distribution with n degrees of freedom (df): [pic] (n)
|Probability density |[pic]pdf (x, n) |
|P (a ≤ X ≤ b) |[pic]cdf (a, b, n) |
F-distribution with n df in numerator and k df in denominator: F(n, k)
|Probability density |Fpdf (x, n, k) |
|P (a ≤ X ≤ b) |Fcdf (a, b, n, k) |
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