Math Problem Statement
For the following table of data, a. Draw a scatterplot. b. Calculate the correlation coefficient. c. Calculate the least squares line and graph it on the scatterplot. d. Predict the y-value when x is 11. x 1 2 3 4 5 6 7 8 9 10 y 0.3 0.9 1.3 2.3 3.1 3.3 3.3 4.3 4.8 5.3 Question content area bottom Part 1 a. Choose the correct answer below. A. 0 11 0 7 x y A coordinate system has a horizontal x-axis labeled from 0 to 11 in increments of 1 and a vertical y-axis labeled from 0 to 7 in increments of 1. Ten plotted points have coordinates as follows: (1,0.3); (2,0.9); (3,0.9); (4,1.3); (5,3.1); (6,3.3); (7,3.3); (8,4.3); (9,4.8); (10,5.3). B. 0 11 0 7 x y A coordinate system has a horizontal x-axis labeled from 0 to 11 in increments of 1 and a vertical y-axis labeled from 0 to 7 in increments of 1. Ten plotted points have coordinates as follows: (1,0.3); (2,0.9); (3,1.3); (4,2.3); (5,3.1); (6,3.3); (7,3.3); (8,4.3); (9,4.8); (10,5.3). Your answer is correct.C. 0 11 0 7 x y A coordinate system has a horizontal x-axis labeled from 0 to 11 in increments of 1 and a vertical y-axis labeled from 0 to 7 in increments of 1. Ten plotted points have coordinates as follows: (1,5.3); (2,4.8); (3,4.3); (4,3.3); (5,3.3); (6,3.1); (7,2.3); (8,1.3); (9,0.9); (10,0.3). D. 0 11 0 7 x y A coordinate system has a horizontal x-axis labeled from 0 to 11 in increments of 1 and a vertical y-axis labeled from 0 to 7 in increments of 1. Ten plotted points have coordinates as follows: (1,0.3); (2,0.9); (3,1.3); (4,2.3); (5,3.1); (6,3.3); (7,3.3); (8,3.3); (9,3.3); (10,4.3). Part 2 b. Calculate the correlation coefficient. 0.989 (Do not round until the final answer. Then round to the nearest thousandth as needed.) Part 3 c. Calculate the least squares line. Yequals enter your response herexplus enter your response here
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Linear Regression
Scatterplot
Correlation Coefficient
Formulas
Correlation coefficient formula: r = Σ[(xi - x̄)(yi - ȳ)] / [√Σ(xi - x̄)^2 * Σ(yi - ȳ)^2]
Least squares line equation: y = mx + b
Theorems
Least squares regression theorem
Suitable Grade Level
Grades 9-12
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