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).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.CR: Chapter Review Exercises

Problem 16CR: XYZ Corporation Stock Prices The following table shows the average stock price, in dollars, of XYZ...

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