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In a study of achievement scores, the class size (number of students in the classroom) and the average student achievement for that class are recorded. Let x = class size and y = average achievement. A scatterplot of In(y) versus x shows a strong negative linear relationship. Output from a regression analysis is shown below. Regression Equation: In(Achievement) = 5.779-0.025(Class Size) Predictor Coef SE Coef T P Constant 5.779 0.2948 19.60 0.000 Class Size -0.025 0.0030 -8.33 0.000 S = 0.4871 R-Sq = 83.4% R-Sq (adj) = 80.8% Based on the information provided above, which of the following statements must be true? (A) Large class sizes cause average student achievement to decrease. (B) The residual plot of the relationship between class size and average student achievement would show a non-random pattern. (C) The correlation between class size and In(achievement) is r = 0.913. (D) There is also a strong negative linear relationship between average student achievement and class size. (E) Larger values of class size are associated with larger values of In(achievement).

In a study of achievement scores, the class size (number of students in the classroom) and the average student achievement for that class are recorded. Let x = class size and y = average achievement. A scatterplot of In(y) versus x shows a strong negative linear relationship. Output from a regression analysis is shown below. Regression Equation: In(Achievement) = 5.779-0.025(Class Size) Predictor Coef SE Coef T P Constant 5.779 0.2948 19.60 0.000 Class Size -0.025 0.0030 -8.33 0.000 S = 0.4871 R-Sq = 83.4% R-Sq (adj) = 80.8% Based on the information provided above, which of the following statements must be true? (A) Large class sizes cause average student achievement to decrease. (B) The residual plot of the relationship between class size and average student achievement would show a non-random pattern. (C) The correlation between class size and In(achievement) is r = 0.913. (D) There is also a strong negative linear relationship between average student achievement and class size. (E) Larger values of class size are associated with larger values of In(achievement).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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In a study of achievement scores, the class size (number of students in the classroom) and the average student achievement for that class are recorded. Let x = class size and y = average achievement. A scatterplot of In(y) versus x shows a strong negative linear relationship. Output from a regression analysis is shown below. Regression Equation: In(Achievement) = 5.779-0.025(Class Size) Predictor Coef SE Coef T P Constant 5.779 0.2948 19.60 0.000 Class Size -0.025 0.0030 -8.33 0.000 S = 0.4871 R-Sq = 83.4% R-Sq (adj) = 80.8% Based on the information provided above, which of the following statements must be true? (A) Large class sizes cause average student achievement to decrease. (B) The residual plot of the relationship between class size and average student achievement would show a non-random pattern. (C) The correlation between class size and In(achievement) is r = 0.913. (D) There is also a strong negative linear relationship between average student achievement and class size. (E) Larger values of class size are associated with larger values of In(achievement).
Transcribed Image Text:In a study of achievement scores, the class size (number of students in the classroom) and the average student achievement for that class are recorded. Let x = class size and y = average achievement. A scatterplot of In(y) versus x shows a strong negative linear relationship. Output from a regression analysis is shown below. Regression Equation: In(Achievement) = 5.779-0.025(Class Size) Predictor Coef SE Coef T P Constant 5.779 0.2948 19.60 0.000 Class Size -0.025 0.0030 -8.33 0.000 S = 0.4871 R-Sq = 83.4% R-Sq (adj) = 80.8% Based on the information provided above, which of the following statements must be true? (A) Large class sizes cause average student achievement to decrease. (B) The residual plot of the relationship between class size and average student achievement would show a non-random pattern. (C) The correlation between class size and In(achievement) is r = 0.913. (D) There is also a strong negative linear relationship between average student achievement and class size. (E) Larger values of class size are associated with larger values of In(achievement).
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