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a) Determine the least squares regression equation for the height of the ball over time.

a) Determine the least squares regression equation for the height of the ball over time.

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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A ball is tossed in the air. The table shows the height of the ball in feet over time in seconds. Time (seconds) Height (feet) 0 5 1 21 2 34 3 31 b) Interpret the equation in terms of the problem situation. The slope means The predicted decrease in height per second 1 foot O The predicted decrease in height per second is 20 feet. O The pre ted height in the beginning is 20 O The predicted height in the beginning is -1 foot O The predicted height in the beginning is 0 feet 4 The y-intercept means O The predicted height in the beginning is -1 foot The predicted height in the beginning is 20 feet O The predicted height in the beginning is 0 feet O The predicted decrease in height per second is 20 feet. O The predicted decrease in height per second 1 foot 18 a) Determine the least squares regression equation for the height of the ball over time. y = 20.2414-0.6286x x 5 3 d) Predict the height of the ball after 11 seconds. 13.3268 x feet. c) Find the correlation coefficient, r-value, of the line. Round your answer to the nearest thousandth. r = -0.092 What does the correlation coefficient tell us about the regression equation. O The line is a good fit because r is close to -1 O The line is not a good fit because r is close to -1 The line is not a good fit because r is close to 0 O The line is a good fit because r is close to 1 O The line is a good fit because r is close to 0 O the line is not a good fit because r is close to 1
Transcribed Image Text:A ball is tossed in the air. The table shows the height of the ball in feet over time in seconds. Time (seconds) Height (feet) 0 5 1 21 2 34 3 31 b) Interpret the equation in terms of the problem situation. The slope means The predicted decrease in height per second 1 foot O The predicted decrease in height per second is 20 feet. O The pre ted height in the beginning is 20 O The predicted height in the beginning is -1 foot O The predicted height in the beginning is 0 feet 4 The y-intercept means O The predicted height in the beginning is -1 foot The predicted height in the beginning is 20 feet O The predicted height in the beginning is 0 feet O The predicted decrease in height per second is 20 feet. O The predicted decrease in height per second 1 foot 18 a) Determine the least squares regression equation for the height of the ball over time. y = 20.2414-0.6286x x 5 3 d) Predict the height of the ball after 11 seconds. 13.3268 x feet. c) Find the correlation coefficient, r-value, of the line. Round your answer to the nearest thousandth. r = -0.092 What does the correlation coefficient tell us about the regression equation. O The line is a good fit because r is close to -1 O The line is not a good fit because r is close to -1 The line is not a good fit because r is close to 0 O The line is a good fit because r is close to 1 O The line is a good fit because r is close to 0 O the line is not a good fit because r is close to 1
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