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Pupil-Teacher Ratios The following table gives the national average pupil-teacher ratio in public schools over selected years. Source: National Center for Education Statistics. Year Ratio 1990 17.2 1994 17.3 1998 16.4 2002 15.9 2006 15.6 2010 15.3 (a) Find the equation for the least squares line. Let x correspond to the number of years since 1990 and let y correspond to the average number of pupils per teacher. (b) Use your answer from part (a) to predict the pupil-teacher ratio in 2020. Does this seem realistic? (c) Calculate and interpret the correlation coefficient.

Pupil-Teacher Ratios The following table gives the national average pupil-teacher ratio in public schools over selected years. Source: National Center for Education Statistics. Year Ratio 1990 17.2 1994 17.3 1998 16.4 2002 15.9 2006 15.6 2010 15.3 (a) Find the equation for the least squares line. Let x correspond to the number of years since 1990 and let y correspond to the average number of pupils per teacher. (b) Use your answer from part (a) to predict the pupil-teacher ratio in 2020. Does this seem realistic? (c) Calculate and interpret the correlation coefficient.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.4: Mathematical Models And Least Squares Analysis
Problem 39E
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Pupil-Teacher Ratios The following table gives the national average pupil-teacher ratio in public schools over selected years. Source: National Center for Education Statistics. Year Ratio 1990 17.2 1994 17.3 1998 16.4 2002 15.9 2006 15.6 2010 15.3 (a) Find the equation for the least squares line. Let x correspond to the number of years since 1990 and let y correspond to the average number of pupils per teacher. (b) Use your answer from part (a) to predict the pupil-teacher ratio in 2020. Does this seem realistic? (c) Calculate and interpret the correlation coefficient.
Transcribed Image Text:Pupil-Teacher Ratios The following table gives the national average pupil-teacher ratio in public schools over selected years. Source: National Center for Education Statistics. Year Ratio 1990 17.2 1994 17.3 1998 16.4 2002 15.9 2006 15.6 2010 15.3 (a) Find the equation for the least squares line. Let x correspond to the number of years since 1990 and let y correspond to the average number of pupils per teacher. (b) Use your answer from part (a) to predict the pupil-teacher ratio in 2020. Does this seem realistic? (c) Calculate and interpret the correlation coefficient.
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