Math Problem Statement

For the accompanying data​ set, (a) draw a scatter diagram of the​ data, (b) by​ hand, compute the correlation​ coefficient, and​ (c) determine whether there is a linear relation between x and y. Click here to view the data set. LOADING...
Click here to view the critical values table. LOADING... Question content area bottom Part 1 ​(a) Draw a scatter diagram of the data. Choose the correct graph below. A. 0 10 0 20 x y

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 4); (4, 8); (7, 10); (7, 7); (9, 20). B. 0 10 0 20 x y

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 2. The following 5 points are plotted, listed here from left to right: (2, 4); (4, 8); (7, 10); (7, 12); (9, 20). This is the correct answer.C. 0 10 0 20 x y

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 2. The following 5 points are plotted, listed here from left to right: (2, 20); (4, 12); (7, 10); (7, 8); (9, 4). Your answer is not correct.D. 0 10 0 20 x y

A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 20); (4, 7); (7, 10); (7, 8); (9, 4). Part 2 ​(b) By​ hand, compute the correlation coefficient. The correlation coefficient is requals=enter your response here. ​(Round to three decimal places as​ needed.)

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Correlation
Scatter Plot
Linear Relationships

Formulas

Pearson's Correlation Coefficient Formula: r = (nΣxy - ΣxΣy) / sqrt([nΣx² - (Σx)²][nΣy² - (Σy)²])

Theorems

Pearson's Correlation Coefficient

Suitable Grade Level

Grades 10-12