Correlation and Line of Best Fit Task 1

Loading the math board and drawing, please wait…

2016-05-13 22:05

This example demonstrates the relationship between data points, correlation coefficient (PMCC), and the line of best fit through an interactive file. Core math concepts include linear regression, mean, length, and statistical analysis. GeoGebra commands like Mean, Ray, KeepIf, Length, Take, Element, If, Defined, FitLineY, PMCC are used along with objects A1-B20. Ideal for high school statistics and probability, focusing on data analysis and linear model building.

GeoGebra Commands & Parameters

Mean(List_1) → a
Mean(List_2) → b
Ray(B, A) → c
Ray(C, A) → d
KeepIf(x < a, List_1) → list2
Length(list2) → e
Take(list1, 1, 1) → list3
Element(list1, 1) → D
Element(list1, 2) → E
Element(list1, 3) → F
Element(list1, 4) → G
Element(list1, 5) → H
Element(list1, 6) → I
Element(list1, 7) → J
Element(list1, 8) → K
Element(list1, 9) → L
Element(list1, 10) → M
Element(list1, 11) → N
Element(list1, 12) → O
Element(list1, 13) → P
Element(list1, 14) → Q
Element(list1, 15) → R
Element(list1, 16) → S
Element(list1, 17) → T
Element(list1, 18) → U
Element(list1, 19) → V
Element(list1, 20) → W
Element(list1, 21) → Z
Element(list1, 22) → A_1
Element(list1, 23) → B_1
Element(list1, 24) → C_1
If((x(D) < x(A)) ∧ (y(D) > y(A)), D) → D_1
If((x(E) < x(A)) ∧ (y(E) > y(A)), E) → E_1
If((x(F) < x(A)) ∧ (y(F) > y(A)), F) → F_1
If((x(G) < x(A)) ∧ (y(G) > y(A)), G) → G_1
If((x(H) < x(A)) ∧ (y(H) > y(A)), H) → H_1
If((x(I) < x(A)) ∧ (y(I) > y(A)), I) → I_1
If((x(J) < x(A)) ∧ (y(J) > y(A)), J) → J_1
If((x(K) < x(A)) ∧ (y(K) > y(A)), K) → K_1
If((x(M) < x(A)) ∧ (y(M) > y(A)), M) → M_1
If((x(N) < x(A)) ∧ (y(N) > y(A)), N) → N_1
If((x(O) < x(A)) ∧ (y(O) > y(A)), O) → O_1
If((x(P) < x(A)) ∧ (y(P) > y(A)), P) → P_1
If((x(Q) < x(A)) ∧ (y(Q) > y(A)), Q) → Q_1
If((x(R) < x(A)) ∧ (y(R) > y(A)), R) → R_1
If((x(S) < x(A)) ∧ (y(S) > y(A)), S) → S_1
If((x(T) < x(A)) ∧ (y(T) > y(A)), T) → T_1
If((x(U) < x(A)) ∧ (y(U) > y(A)), U) → U_1
If((x(V) < x(A)) ∧ (y(V) > y(A)), V) → V_1
If((x(W) < x(A)) ∧ (y(W) > y(A)), W) → W_1
If((x(Z) < x(A)) ∧ (y(Z) > y(A)), Z) → Z_1
If((x(A_1) < x(A)) ∧ (y(A_1) > y(A)), A_1) → A_2
If((x(B_1) < x(A)) ∧ (y(B_1) > y(A)), B_1) → B_2
If((x(C_1) < x(A)) ∧ (y(C_1) > y(A)), C_1) → C_2
If((x(A_1) > x(A)) ∧ (y(A_1) > y(A)), A_1) → A_3
If((x(B_1) > x(A)) ∧ (y(B_1) > y(A)), B_1) → B_3
If((x(C_1) > x(A)) ∧ (y(C_1) > y(A)), C_1) → C_3
If((x(D) > x(A)) ∧ (y(D) > y(A)), D) → D_2
If((x(E) > x(A)) ∧ (y(E) > y(A)), E) → E_2
If((x(F) > x(A)) ∧ (y(F) > y(A)), F) → F_2
If((x(G) > x(A)) ∧ (y(G) > y(A)), G) → G_2
If((x(H) > x(A)) ∧ (y(H) > y(A)), H) → H_2
If((x(I) > x(A)) ∧ (y(I) > y(A)), I) → I_2
If((x(J) > x(A)) ∧ (y(J) > y(A)), J) → J_2
If((x(K) > x(A)) ∧ (y(K) > y(A)), K) → K_2
If((x(M) > x(A)) ∧ (y(M) > y(A)), M) → M_2
If((x(N) > x(A)) ∧ (y(N) > y(A)), N) → N_2
If((x(O) > x(A)) ∧ (y(O) > y(A)), O) → O_2
If((x(P) > x(A)) ∧ (y(P) > y(A)), P) → P_2
If((x(Q) > x(A)) ∧ (y(Q) > y(A)), Q) → Q_2
If((x(R) > x(A)) ∧ (y(R) > y(A)), R) → R_2
If((x(S) > x(A)) ∧ (y(S) > y(A)), S) → S_2
If((x(T) > x(A)) ∧ (y(T) > y(A)), T) → T_2
If((x(U) > x(A)) ∧ (y(U) > y(A)), U) → U_2
If((x(V) > x(A)) ∧ (y(V) > y(A)), V) → V_2
If((x(W) > x(A)) ∧ (y(W) > y(A)), W) → W_2
If((x(Z) > x(A)) ∧ (y(Z) > y(A)), Z) → Z_2
Defined(D_1) → D1
Defined(E_1) → D2
Defined(F_1) → D3
Defined(G_1) → D4
Defined(H_1) → D5
Defined(I_1) → D6
Defined(J_1) → D7
Defined(K_1) → D8
Defined(M_1) → D9
Defined(N_1) → D10
Defined(O_1) → D11
Defined(P_1) → D12
Defined(Q_1) → D13
Defined(R_1) → D14
Defined(S_1) → D15
Defined(T_1) → D16
Defined(U_1) → D17
Defined(V_1) → D18
Defined(W_1) → D19
FitLineY(list1) → h
If((x(D) > x(A)) ∧ (y(D) < y(A)), D) → D_3
If((x(F) > x(A)) ∧ (y(F) < y(A)), F) → F_3
If((x(E) > x(A)) ∧ (y(E) < y(A)), E) → E_3
If((x(G) > x(A)) ∧ (y(G) < y(A)), G) → G_3
If((x(H) > x(A)) ∧ (y(H) < y(A)), H) → H_3
If((x(I) > x(A)) ∧ (y(I) < y(A)), I) → I_3
If((x(J) > x(A)) ∧ (y(J) < y(A)), J) → J_3
If((x(K) > x(A)) ∧ (y(K) < y(A)), K) → K_3
If((x(M) > x(A)) ∧ (y(M) < y(A)), M) → M_3
If((x(N) > x(A)) ∧ (y(N) < y(A)), N) → N_3
If((x(O) > x(A)) ∧ (y(O) < y(A)), O) → O_3
If((x(P) > x(A)) ∧ (y(P) < y(A)), P) → P_3
If((x(Q) > x(A)) ∧ (y(Q) < y(A)), Q) → Q_3
If((x(R) > x(A)) ∧ (y(R) < y(A)), R) → R_3
If((x(S) > x(A)) ∧ (y(S) < y(A)), S) → S_3
If((x(T) > x(A)) ∧ (y(T) < y(A)), T) → T_3
If((x(U) > x(A)) ∧ (y(U) < y(A)), U) → U_3
If((x(V) > x(A)) ∧ (y(V) < y(A)), V) → V_3
If((x(W) > x(A)) ∧ (y(W) < y(A)), W) → W_3
If((x(Z) > x(A)) ∧ (y(Z) < y(A)), Z) → Z_3
If((x(A_1) > x(A)) ∧ (y(A_1) < y(A)), A_1) → A_4
If((x(B_1) > x(A)) ∧ (y(B_1) < y(A)), B_1) → B_4
If((x(C_1) > x(A)) ∧ (y(C_1) < y(A)), C_1) → C_4
If((x(D) < x(A)) ∧ (y(D) < y(A)), D) → D_4
If((x(E) < x(A)) ∧ (y(E) < y(A)), E) → E_4
If((x(F) < x(A)) ∧ (y(F) < y(A)), F) → F_4
If((x(G) < x(A)) ∧ (y(G) < y(A)), G) → G_4
If((x(H) < x(A)) ∧ (y(H) < y(A)), H) → H_4
If((x(I) < x(A)) ∧ (y(I) < y(A)), I) → I_4
If((x(J) < x(A)) ∧ (y(J) < y(A)), J) → J_4
If((x(K) < x(A)) ∧ (y(K) < y(A)), K) → K_4
If((x(M) < x(A)) ∧ (y(M) < y(A)), M) → M_4
If((x(N) < x(A)) ∧ (y(N) < y(A)), N) → N_4
If((x(O) < x(A)) ∧ (y(O) < y(A)), O) → O_4
If((x(P) < x(A)) ∧ (y(P) < y(A)), P) → P_4
If((x(Q) < x(A)) ∧ (y(Q) < y(A)), Q) → Q_4
If((x(R) < x(A)) ∧ (y(R) < y(A)), R) → R_4
If((x(S) < x(A)) ∧ (y(S) < y(A)), S) → S_4
If((x(T) < x(A)) ∧ (y(T) < y(A)), T) → T_4
If((x(U) < x(A)) ∧ (y(U) < y(A)), U) → U_4
If((x(V) < x(A)) ∧ (y(V) < y(A)), V) → V_4
If((x(W) < x(A)) ∧ (y(W) < y(A)), W) → W_4
If((x(Z) < x(A)) ∧ (y(Z) < y(A)), Z) → Z_4
If((x(A_1) < x(A)) ∧ (y(A_1) < y(A)), A_1) → A_5
If((x(B_1) < x(A)) ∧ (y(B_1) < y(A)), B_1) → B_5
If((x(C_1) < x(A)) ∧ (y(C_1) < y(A)), C_1) → C_5
If((x(L) < x(A)) ∧ (y(L) > y(A)), L) → L_1
If((x(L) > x(A)) ∧ (y(L) > y(A)), L) → L_2
If((x(L) > x(A)) ∧ (y(L) < y(A)), L) → L_3
If((x(L) < x(A)) ∧ (y(L) < y(A)), L) → L_4
PMCC(list1) → n