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A mathematics teacher recorded the length of time, y minutes, taken to travel to school when leaving home x minutes after 7 am on seven selected mornings as follows. 10 20 30 40 50 60 y 16 27 28 39 39 48 51 a) Findn and calculate the values of Σ x Σν, Σεν, Σχ, Σν?, (Σx)',Σ χ)* b) Compute the value of the correlation coefficient, r. c) Explain the relationship between the variables according to your answer in b). d) Find the values of a and b in the equation of the least square regression line and write the corresponding equation. e) Based on your answer in c), find y' when x is 55.

A mathematics teacher recorded the length of time, y minutes, taken to travel to school when leaving home x minutes after 7 am on seven selected mornings as follows. 10 20 30 40 50 60 y 16 27 28 39 39 48 51 a) Findn and calculate the values of Σ x Σν, Σεν, Σχ, Σν?, (Σx)',Σ χ)* b) Compute the value of the correlation coefficient, r. c) Explain the relationship between the variables according to your answer in b). d) Find the values of a and b in the equation of the least square regression line and write the corresponding equation. e) Based on your answer in c), find y' when x is 55.

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 mathematics teacher recorded the length of time, y minutes, taken to travel to school when leaving home x minutes after 7 am on seven selected mornings as follows. 10 20 30 40 50 60 y 16 27 28 39 39 48 51 a) Find nand calculate the values of Σ x, Σy, Σxν, Σx3, Σν", (Σx)?,(Σ ν) b) Compute the value of the correlation coefficient, r. c) Explain the relationship between the variables according to your answer in b). d) Find the values of a and b in the equation of the least square regression line and write the corresponding equation. e) Based on your answer in c), find y' when x is 55.
Transcribed Image Text:A mathematics teacher recorded the length of time, y minutes, taken to travel to school when leaving home x minutes after 7 am on seven selected mornings as follows. 10 20 30 40 50 60 y 16 27 28 39 39 48 51 a) Find nand calculate the values of Σ x, Σy, Σxν, Σx3, Σν", (Σx)?,(Σ ν) b) Compute the value of the correlation coefficient, r. c) Explain the relationship between the variables according to your answer in b). d) Find the values of a and b in the equation of the least square regression line and write the corresponding equation. e) Based on your answer in c), find y' when x is 55.
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