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.
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Part 1
(a) Draw a scatter diagram of the data. Choose the correct graph below.
A.
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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