Scatter Plot of Study Time vs Scores with Trend Line

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2012-05-30 23:16

In collections CCGPS CA Unit 4 Lesson 2

① This example demonstrates how to plot students' study time against their test scores as a scatter plot and add a trend line to reveal the linear relationship. ② Core mathematical concepts include statistical correlation, linear regression modeling, coordinate geometry representation of points and lines, and the use of vectors to indicate the direction of the fitted line. ③ Construction highlights: GeoGebra commands Segment (draw segments between data points), Intersect (find intersections of the trend line with axes), Textfield (label coordinates and statistics), Polygon (create auxiliary regions to visualize residuals), and Vector (represent the trend line's direction vector). ④ Suitable for high‑school probability and statistics modules, introductory college statistics courses, and as a visual aid for self‑study of bivariate data analysis and curve fitting.

GeoGebra Commands & Parameters

Segment(M, K) → i
Segment(A, M) → g
Intersect(g, i) → M_1
Textfield(B3) → IB3
Textfield(B4) → IB4
Textfield(C3) → IC3
Textfield(C4) → IC4
Textfield(D3) → ID3
Textfield(D4) → ID4
Textfield(E3) → IE3
Textfield(E4) → IE4
Segment(C, D) → b
Segment(I, J) → e
Segment(N, K) → h
Segment(O, P) → j
Segment(Q, R) → k
Segment(S, T) → l
Polygon(C, N, K, M) → poly1, n, p, q, r
Polygon(C, U, O, A) → GradePoly, s, t, a_1, b_1
Segment(A, S) → a
Segment(K, T) → f
Vector(A_1, B_1) → u
Vector(C_1, D_1) → u_1
Vector(E_1, F_1) → v_1
Vector(G_1, H_1) → w_1
Polygon(I_1, Z, M_1, L_1) → Title, d_1, e_1, f_1, g_1
Segment(B, F) → c
Segment(H, L) → d
Segment(E, V) → m
Segment(G, W) → c_1
Textfield(B5) → IB5
Textfield(B6) → IB6
Textfield(C5) → IC5
Textfield(C6) → IC6
Textfield(D5) → ID5
Textfield(D6) → ID6
Textfield(E5) → IE5
Textfield(E6) → IE6