27/2
ans = 13.5 : real
1.96*sqrt((179.588-29.42*29.42/5)/25)
ans = 0.9979245252422643 : real
1.96*sqrt((179.588-29.42*29.42/5)/20)
ans = 1.1157135374279539 : real
.ans*2
Error: java.lang.IllegalArgumentException: Unknown char at char 0: '.'
ans*2
ans = 2.2314270748559077 : real
3.16/2
ans = 1.58 : real
1/3*4^3
ans = 21.333333333333332 : real
179.588-29.42*29.42/5
ans = 6.480719999999991 : real
val sxx=ans
val sxx = 6.480719999999991 : real
val xbar = 29.42/5
val xbar = 5.884 : real
0.033341*sqrt(sxx/4)
ans = 0.04243852244400809 : real
ans / sqrt 5
ans = 0.01897908420989052 : real
3.4954*sqrt(sxx/4)
ans = 4.449165032566085 : real
ans / sqrt 5
ans = 1.989727091186566 : real
ans * 2
ans = 3.979454182373132 : real
3.16/2
ans = 1.58 : real
ans*sqrt 5 / sqrt(sxx / 4)
ans = 2.775622860272028 : real
2.776451*sqrt(sxx/4)/sqrt 5
ans = 1.5804714115843774 : real
(5.884-ans,5.884+ans)
ans = (4.303528588415623, 7.464471411584378) : real * real
let val (a,b) = ans in b-a end
ans = 3.160942823168755 : real
1.96/sqrt 5
ans = 0.8765386471799175 : real
(2*ans,ans+xbar,xbar-ans)
ans = (1.753077294359835, 6.760538647179918, 5.007461352820083) : real * real * real
1.96*sqrt 4/2.77645
ans = 1.411874876190819 : real
sxx
ans = 6.480719999999991 : real
2.77645*sqrt(sxx/20)
ans = 1.580470842342777 : real
ans*2
ans = 3.160941684685554 : real
1.96/2.78
ans = 0.7050359712230216 : real
ans^2
ans = 0.4970757207183894 : real
ans*4
ans = 1.9883028828735576 : real
val data = [3.26,1.76,1.63,1.79,2.43,0.88,0.99,1.12,4.56,2.11,2.73]
val data = [3.26, 1.76, 1.63, 1.79, 2.43, 0.88, 0.99, 1.12, 4.56, 2.11, 2.73] : real list
fun sum [] = 0 | sum x::xs = x + sum xs
val sum = fn : a -> a
fun mean l = sum l / length l
val mean = fn : a -> a
fun sxx d = let val xbar = mean d in sum (map (fn x=>(x-xbar)^2) d) end
val sxx = fn : a -> a
sxx data
ans = 12.014272727272727 : real
ans/4.
ans = 3.003568181818182 : real
12.01427/4.865
ans = 2.46953134635149 : real
sqrt ans
ans = 1.5714742588892412 : real
val data = [[20.8,20.9,20.7,20.6,20.7],[20.6,20.3,20.2,20.3,20.5],[20.9,20.8,20.8,20.7],[20.8,20.9,20.9,20.4]]
val data = [[20.8, 20.9, 20.7, 20.6, 20.7], [20.6, 20.3, 20.2, 20.3, 20.5], [20.9, 20.8, 20.8, 20.7], [20.8, 20.9, 20.9, 20.4]] : (real list) list
map sum ans
Error: java.lang.ClassCastException
sum
ans = fn : a -> a
sum [1,2]
ans = 3 : int
map sum data
ans = [103.7, 101.9, 83.19999999999999, 83.0] : real list
sum ans
ans = 371.8 : real
sum (map length data)
ans = 18 : int
371.8/ans
ans = 20.655555555555555 : real
map mean data
ans = [20.740000000000002, 20.380000000000003, 20.799999999999997, 20.75] : real list
val means = map mean data
val means = [20.740000000000002, 20.380000000000003, 20.799999999999997, 20.75] : real list
val lengths = map length data
val lengths = [5, 5, 4, 4] : int list
val mpp = 20.6555555555555555
val mpp = 20.655555555555555 : real
map (fn x => (x-mpp)^2) means
ans = [0.007130864197531293, 0.07593086419752915, 0.020864197530863535, 0.008919753086419858] : real list
let fun f([],_) = [] | f(x::xs,y::ys) = x * y in f(lengths, ans) end
ans = 0.03565432098765647 : real
let fun f([],_) = [] | f(x::xs,y::ys) = (x * y) :: f(xs,ys) in f(lengths, map (fn x => (x-mpp)^2) means) end
ans = [0.03565432098765647, 0.37965432098764573, 0.08345679012345414, 0.03567901234567943] : real list
sum ans
ans = 0.5344444444444357 : real
let fun f([],_) = [] | f(x::xs,y::ys) = (map (fn k => (k - x)^2) y) :: f(xs,ys) in f(means, data) end
ans = [[0.0035999999999998464, 0.02559999999999891, 0.001600000000000216, 0.01960000000000016, 0.001600000000000216], [0.0483999999999995, 0.006400000000000295, 0.03240000000000118, 0.006400000000000295, 0.014399999999999386], [0.010000000000000285, 1.2621774483536189E-29, 1.2621774483536189E-29, 0.009999999999999573], [0.002500000000000071, 0.022499999999999572, 0.022499999999999572, 0.122500000000001]] : (real list) list
map sum ans
ans = [0.051999999999999345, 0.10800000000000065, 0.019999999999999858, 0.1700000000000002] : real list
sum ans
ans = 0.35000000000000003 : real
map (map (fn x => (x - mpp)^2)) data
ans = [[0.02086419753086456, 0.05975308641975266, 0.001975308641975295, 0.0030864197530862006, 0.001975308641975295], [0.0030864197530862006, 0.12641975308641887, 0.207530864197531, 0.12641975308641887, 0.024197530864197358], [0.05975308641975266, 0.02086419753086456, 0.02086419753086456, 0.001975308641975295], [0.02086419753086456, 0.05975308641975266, 0.05975308641975266, 0.06530864197530908]] : (real list) list
map sum ans
ans = [0.08765432098765401, 0.48765432098765227, 0.10345679012345707, 0.20567901234567898] : real list
sum ans
ans = 0.8844444444444424 : real
sum lengths
ans = 18 : int
0.5344/3
ans = 0.17813333333333334 : real
0.53/14
ans = 0.03785714285714286 : real
0.178133/ans
ans = 4.7054 : real
