Math Problem Statement

Match these values of r with the accompanying​ scatterplots: negative 1​, negative 0.997​, negative 0.39​, 1​, and 0.749. Scatterplot 1 Scatterplot 2 Scatterplot 3 0 0.2 0.4 0.6 0.8 1 0 2 4 6 8 x y

A scatterplot has a horizontal x-axis labeled from 0 to 1 in increments of 0.1 and a vertical y-axis labeled from 0 to 8 in increments of 1. Ten points with varying vertical spread very loosely follow the pattern of a line that falls from left to right through the approximate points (0,5) and (1,4). 0 0.2 0.4 0.6 0.8 1 -8 -6 -4 -2 0 x y

A scatterplot has a horizontal x-axis labeled from 0 to 1 in increments of 0.1 and a vertical y-axis labeled from 0 to above 8 in increments of 1. Ten points almost strictly follow the pattern of a line that falls from left to right through the points (0.05, negative 8.23) and (0.88, negative 1.83). All coordinates are approximate. 0 0.2 0.4 0.6 0.8 1 -4 -3 -2 -1 0 x y

Match the values of r to the scatterplots. Scatterplot​ 1, requals ▼ negative 1 negative 0.997 0.749 negative 0.39 1 Scatterplot​ 2, requals ▼ 1 negative 0.997 negative 1 negative 0.39 0.749 Scatterplot​ 3, requals ▼ 1 negative 0.39 negative 0.997 0.749 negative 1 Scatterplot​ 4, requals ▼ negative 0.39 negative 0.997 negative 1 0.749 1 Scatterplot​ 5, requals ▼ negative 1 negative 0.997 1 0.749 negative 0.39 A scatterplot has a horizontal x-axis labeled from 0 to 1 in increments of 0.1 and a vertical y-axis labeled from negative 4 to 0 in increments of 1. Ten points strictly follow the pattern of a line that falls from left to right through the points (0.05, negative 0.20) and (0.95, negative 3.82). All coordinates are approximate. Scatterplot 4 Scatterplot 5 0 0.2 0.4 0.6 0.8 1 0 2 4 6 8 x y

A scatterplot has a horizontal x-axis labeled from 0 to 1 in increments of 0.1 and a vertical y-axis labeled from 0 to 8 in increments of 1. Ten points generally follow the pattern of a line that rises from left to right through the approximate points (0.1,1) and (0.9,7). The vertical spread of the points averages to approximately 2 units. 0 0.2 0.4 0.6 0.8 1 10 11 12 13 14 15 x y

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Correlation
Scatterplots

Formulas

Correlation Coefficient r = Σ((X - X̄)(Y - Ȳ)) / (nσXσY)

Theorems

Correlation Theorem
Linear Relationship Theorem

Suitable Grade Level

Grades 10-12