An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. (A graphing calculator is recommended.) Age (x years) 20 40 60 Maximum heart rate (y beats per minute) 173 158 143 (a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.) -1 (b) What is the significance of the value found in part (a)? O The slope of the regression is about half of what the expected value is. O The graph of the regression points passes through none of the data points. O The graph of the regression points passes through all three data points. O The linear correlation coefficient should always be positive. O One of the data points is the y-intercept. (c) Find the equation of the least-squares regression line. (Round your answers to two decimal places.) -0.85x + 187 (d) Use the equation of the least-squares line from part (c) to predict the maximum exercise heart rate for a person who is 69. (Round your answer to the nearest whole number.) 128 x beats per minute (e) Is the procedure in part (d) an example of interpolation or extrapolation? O interpolation

An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. (A graphing calculator is recommended.) Age (x years) 20 40 60 Maximum heart rate (y beats per minute) 173 158 143 (a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.) -1 (b) What is the significance of the value found in part (a)? O The slope of the regression is about half of what the expected value is. O The graph of the regression points passes through none of the data points. O The graph of the regression points passes through all three data points. O The linear correlation coefficient should always be positive. O One of the data points is the y-intercept. (c) Find the equation of the least-squares regression line. (Round your answers to two decimal places.) -0.85x + 187 (d) Use the equation of the least-squares line from part (c) to predict the maximum exercise heart rate for a person who is 69. (Round your answer to the nearest whole number.) 128 x beats per minute (e) Is the procedure in part (d) an example of interpolation or extrapolation? O interpolation

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 15PPS

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An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages.