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{"sheet":"Sine","index":0,"n_rows":56,"n_cols":15,"rows_kept":56,"cut":false,"hidden":false,"merged":[]}
["        Fitting Sinusoidal Functions to Data"]
[]
[null,"This DIGMath module lets you find the best"]
[null,"    sine function  Y  =  A + B sin (2p/C (t - D))"]
[null,null,null,"to fit a set of data"]
[]
[]
["How many data points (10-30)?",null,null,null,{"$f":"F8","v":22},22,14]
[]
["Enter the data values in the cells below:"]
[null,"x","y",null,null,"In  Y  =  A + B sin (2p/C (t - D))"]
[1,1,55,null,null,null,"A  =",80]
[2,15,53]
[3,32,56,null,null,null,"B  =",20]
[4,46,59]
[5,60,63,null,null,null,"C  =",310]
[6,74,67]
[7,91,72,null,null,null,"D  =",80,null,null,null,"The Sum of the Squares =",null,null,{"$f":"SUM(Sheet3!C4:C30)","v":3136.8410611321342}]
[8,105,77]
[9,121,81]
[10,135,84]
[{"$f":"IF(Sheet3!J14<=n,Sheet3!J13+1,\"\")","v":11},152,89]
[{"$f":"IF(Sheet3!J15<=n,Sheet3!J14+1,\"\")","v":12},196,98]
[{"$f":"IF(Sheet3!J16<=n,Sheet3!J15+1,\"\")","v":13},213,99]
[{"$f":"IF(Sheet3!J17<=n,Sheet3!J16+1,\"\")","v":14},227,98]
[{"$f":"IF(Sheet3!J18<=n,Sheet3!J17+1,\"\")","v":15},244,94]
[{"$f":"IF(Sheet3!J19<=n,Sheet3!J18+1,\"\")","v":16},258,90]
[{"$f":"IF(Sheet3!J20<=n,Sheet3!J19+1,\"\")","v":17},274,85]
[{"$f":"IF(Sheet3!J21<=n,Sheet3!J20+1,\"\")","v":18},288,80]
[{"$f":"IF(Sheet3!J22<=n,Sheet3!J21+1,\"\")","v":19},305,72]
[{"$f":"IF(Sheet3!J23<=n,Sheet3!J22+1,\"\")","v":20},319,66]
[{"$f":"IF(Sheet3!J24<=n,Sheet3!J23+1,\"\")","v":21},335,61]
[{"$f":"IF(Sheet3!J25<=n,Sheet3!J24+1,\"\")","v":22},349,58]
[{"$f":"IF(Sheet3!J26<=n,Sheet3!J25+1,\"\")","v":""}]
[{"$f":"IF(Sheet3!J27<=n,Sheet3!J26+1,\"\")","v":""}]
[{"$f":"IF(Sheet3!J28<=n,Sheet3!J27+1,\"\")","v":""}]
[{"$f":"IF(Sheet3!J29<=n,Sheet3!J28+1,\"\")","v":""}]
[{"$f":"IF(Sheet3!J30<=n,Sheet3!J29+1,\"\")","v":""}]
[{"$f":"IF(Sheet3!J31<=n,Sheet3!J30+1,\"\")","v":""}]
[{"$f":"IF(Sheet3!J32<=n,Sheet3!J31+1,\"\")","v":""}]
[{"$f":"IF(Sheet3!J33<=n,Sheet3!J32+1,\"\")","v":""}]
[]
[]
[]
[]
["Click each item below for suggestions and investigations"]
["   Item 1"]
["   Item 2"]
["   Item 3"]
["   Item 4"]
[]
[null,"Created by:  Sheldon P. Gordon"]
[null,"                     Farmingdale StateCollege"]
[null,"Development of this module was supported by the "]
[null,"NSF's Division of Undergraduate Education  "]
[null,"under grants DUE-0310123 and DUE-0442160."]

{"sheet":"Cosine","index":1,"n_rows":48,"n_cols":13,"rows_kept":48,"cut":false,"hidden":false,"merged":[]}
["        Fitting Sinusoidal Functions to Data"]
[]
["                This DIGMath module lets you find the best"]
[null,"    cosine function  Y  =  A + B cos (2p/C (t - D))"]
[null,null,null,"to fit a set of data"]
[]
[]
["How many data points (10-30)?",null,null,null,{"$f":"F8","v":22},22,14]
[]
["Enter the data values in the cells below:"]
[]
[null,"x","y"]
[1,1,55,null,"In  Y  =  A + B cos (2p/C (t - D))"]
[2,15,53]
[3,32,56,null,null,"A  =",75,null,null,"The Sum of the Squares =",null,null,{"$f":"SUM(Sheet3!H4:H30)","v":1913.6651539782615}]
[4,46,59]
[5,60,63,null,null,"B  =",-20]
[6,74,67]
[7,91,72,null,null,"C  =",350]
[8,105,77]
[9,121,81,null,null,"D  =",60]
[10,135,84]
[{"$f":"IF(Sheet3!J14<=nn,Sheet3!J13+1,\"\")","v":11},152,89]
[{"$f":"IF(Sheet3!J15<=nn,Sheet3!J14+1,\"\")","v":12},196,98]
[{"$f":"IF(Sheet3!J16<=nn,Sheet3!J15+1,\"\")","v":13},213,99]
[{"$f":"IF(Sheet3!J17<=nn,Sheet3!J16+1,\"\")","v":14},227,98]
[{"$f":"IF(Sheet3!J18<=nn,Sheet3!J17+1,\"\")","v":15},244,94]
[{"$f":"IF(Sheet3!J19<=nn,Sheet3!J18+1,\"\")","v":16},258,90]
[{"$f":"IF(Sheet3!J20<=nn,Sheet3!J19+1,\"\")","v":17},274,85]
[{"$f":"IF(Sheet3!J21<=nn,Sheet3!J20+1,\"\")","v":18},288,80]
[{"$f":"IF(Sheet3!J22<=nn,Sheet3!J21+1,\"\")","v":19},305,72]
[{"$f":"IF(Sheet3!J23<=nn,Sheet3!J22+1,\"\")","v":20},319,66]
[{"$f":"IF(Sheet3!J24<=nn,Sheet3!J23+1,\"\")","v":21},335,61]
[{"$f":"IF(Sheet3!J25<=nn,Sheet3!J24+1,\"\")","v":22},349,58]
[{"$f":"IF(Sheet3!J26<=nn,Sheet3!J25+1,\"\")","v":""}]
[{"$f":"IF(Sheet3!J27<=nn,Sheet3!J26+1,\"\")","v":""}]
[{"$f":"IF(Sheet3!J28<=nn,Sheet3!J27+1,\"\")","v":""}]
[{"$f":"IF(Sheet3!J29<=nn,Sheet3!J28+1,\"\")","v":""}]
[{"$f":"IF(Sheet3!J30<=nn,Sheet3!J29+1,\"\")","v":""}]
[{"$f":"IF(Sheet3!J31<=nn,Sheet3!J30+1,\"\")","v":""}]
[{"$f":"IF(Sheet3!J32<=nn,Sheet3!J31+1,\"\")","v":""}]
[{"$f":"IF(Sheet3!J33<=nn,Sheet3!J32+1,\"\")","v":""}]
[]
["Click each item below for suggestions and investigations"]
[null,null,null,"   Item 1"]
[null,null,null,"   Item 2"]
[null,null,null,"   Item 3"]
[null,null,null,"   Item 4"]

{"sheet":"Sheet3","index":2,"n_rows":34,"n_cols":10,"rows_kept":34,"cut":false,"hidden":false,"merged":[]}
["Sine",null,null,null,null,"Cosine"]
[]
["Sinusoidal",null,null,null,null,"Sinusoidal"]
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