Plots of all residuals squared: left parenthesis, 0 , min left parenthesis, "E" , right parenthesis , right parenthesis0,minE
Label:
equals=
left parenthesis, 0 , 0.0 0 4 3 2 9 6 4 , right parenthesis0,0.00432964
26
Slope: ${m} Sum (of residuals squared): ${s_um} left parenthesis, "m" , "s" Subscript, "u" "m" , Baseline , right parenthesism,sum
Label:
equals=
left parenthesis, negative 0.4 6 7 1 , 7.5 1 9 4 8 3 3 8 , right parenthesis−0.4671,7.51948338
27
Label: left parenthesis, "m" Subscript, "f" "i" "n" "a" "l" , Baseline , "a" "m" squared plus "b" "m" Subscript, "f" "i" "n" "a" "l" , Baseline plus "s" Subscript, 1 , Baseline , right parenthesismfinal,am2final+bmfinal+s1
Label:
equals=
left parenthesis, negative 0.5 , 7.5 , right parenthesis−0.5,7.5
28
(Mean of all X, Mean of all Y) left parenthesis, "x" Subscript, "m" , Baseline , "y" Subscript, "m" , Baseline , right parenthesisxm,ym
Label:
equals=
left parenthesis, 3 , 3 , right parenthesis3,3
29
Purple Line = Line of Best Fit: left parenthesis, "x" Subscript, "m" , Baseline , "y" Subscript, "m" , Baseline , right parenthesisxm,ym
Label:
equals=
left parenthesis, 3 , 3 , right parenthesis3,3
30
Green Line = Testing Line: left parenthesis, StartFraction, 2 "m" "x" Subscript, "m" , Baseline minus "y" Subscript, "m" , Baseline Over 2 "m" , EndFraction , StartFraction, "y" Subscript, "m" , Baseline Over 2 , EndFraction , right parenthesis2mxm−ym2m,ym2
Label:
equals=
left parenthesis, 6.2 1 1 3 0 3 7 9 , 1.5 , right parenthesis6.21130379,1.5
31
Correlation Coefficient: r = ${R} left parenthesis, 0 , 0 , right parenthesis0,0
Label:
32
Coefficient of Determination: r^2 = ${R_2} left parenthesis, 0 , 0 , right parenthesis0,0
Label:
33
Expression 34: "R" equals StartFraction, left parenthesis, length left parenthesis, "E" , right parenthesis times total left parenthesis, "x" Subscript, 1 , Baseline times "y" Subscript, 1 , Baseline , right parenthesis , right parenthesis minus left parenthesis, total left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis times total left parenthesis, "y" Subscript, 1 , Baseline , right parenthesis , right parenthesis Over StartRoot, left parenthesis, length left parenthesis, "E" , right parenthesis times total left parenthesis, "x" squared , right parenthesis minus left parenthesis, total left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis , right parenthesis squared , right parenthesis left parenthesis, length left parenthesis, "E" , right parenthesis times total left parenthesis, "y" squared , right parenthesis minus left parenthesis, total left parenthesis, "y" Subscript, 1 , Baseline , right parenthesis , right parenthesis squared , right parenthesis , EndRoot , EndFractionR=lengthE·totalx1·y1−totalx1·totaly1lengthE·totalx21−totalx12lengthE·totaly21−totaly12
Label: left parenthesis, 0 , "y" Subscript, "m" , Baseline minus "m" Subscript, "f" "i" "n" "a" "l" , Baseline times "x" Subscript, "m" , Baseline , right parenthesis0,ym−mfinal·xm
Label:
equals=
left parenthesis, 0 , 4.5 , right parenthesis0,4.5
36
37
powered by
powered by
Plots of all residuals squared
Slope: -0.4671 Sum (of residuals squared): 7.5194834
left parenthesis, negative 0.5 , 7.5 , right parenthesis−0.5,7.5
(Mean of all X, Mean of all Y)
Purple Line = Line of Best Fit
Green Line = Testing Line
Correlation Coefficient: r = -0.61237244
Coefficient of Determination: r^2 = 0.375
left parenthesis, 0 , 4.5 , right parenthesis0,4.5