La "m" calculada (pendiente de la recta de ajuste ) es el coeficiente de regresión de Y sobre X.
40
El ajuste lineal calculado por desmos es la recta de regresión de Y sobre X.
41
Cálculo de la recta de regresión:
42
Pendiente de la recta de regresión de Y sobre X: (Coeficiente de regresión de Y sobre X):
43
Expression 44: "m" Subscript, "y" "x" , Baseline equals StartFraction, StartNestedFraction, left parenthesis, Start sum from "k" equals 1 to length left parenthesis, "x" Subscript, "i" , Baseline , right parenthesis , end sum, left parenthesis, "x" Subscript, "i" , Baseline left bracket, "k" , right bracket minus mean left parenthesis, "x" Subscript, "i" , Baseline , right parenthesis , right parenthesis left parenthesis, "y" Subscript, "i" , Baseline left bracket, "k" , right bracket minus mean left parenthesis, "y" Subscript, "i" , Baseline , right parenthesis , right parenthesis , right parenthesis NestedOver length left parenthesis, "x" Subscript, "i" , Baseline , right parenthesis , EndNestedFraction Over left parenthesis, StartNestedFraction, left parenthesis, Start sum from "k" equals 1 to length left parenthesis, "x" Subscript, "i" , Baseline , right parenthesis , end sum, left parenthesis, "x" Subscript, "i" , Baseline left bracket, "k" , right bracket minus mean left parenthesis, "x" Subscript, "i" , Baseline , right parenthesis , right parenthesis squared , right parenthesis NestedOver length left parenthesis, "x" Subscript, "i" , Baseline , right parenthesis , EndNestedFraction , right parenthesis , EndFraction equals 0.9 8 6 1 1 1 1 1 1 1 1 1myx=lengthxi∑k=1xik−meanxiyik−meanyilengthxilengthxi∑k=1xik−meanxi2lengthxi
equals=
0.9 8 6 1 1 1 1 1 1 1 1 10.986111111111
44
Ecuación de la recta de regresión de Y sobre X
45
Expression 46: "f" Subscript, "y" "x" , Baseline left parenthesis, "x" , right parenthesis equals "m" Subscript, "y" "x" , Baseline left parenthesis, "x" minus mean left parenthesis, "x" Subscript, "i" , Baseline , right parenthesis , right parenthesis plus mean left parenthesis, "y" Subscript, "i" , Baseline , right parenthesis Has graph. To audio trace, press ALT+T.fyxx=myxx−meanxi+meanyi
46
Expression 47: "x" equals "x" Subscript, "i" , Baseline left brace, min left parenthesis, "y" Subscript, "i" , Baseline , "f" Subscript, "y" "x" , Baseline left parenthesis, "x" Subscript, "i" , Baseline , right parenthesis , right parenthesis less than or equal to "y" less than or equal to max left parenthesis, "y" Subscript, "i" , Baseline , "f" Subscript, "y" "x" , Baseline left parenthesis, "x" Subscript, "i" , Baseline , right parenthesis , right parenthesis , right brace Has graph. To audio trace, press ALT+T.x=ximinyi,fyxxi≤y≤maxyi,fyxxi