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Find the regression line M = a + bt for the given data and write down the equation of the line in 2 decimal places. Interpret the value of the slope, b, to given context. Calculate the product-moment correlation coefficient for the given data. Comment on the value.

Find the regression line M = a + bt for the given data and write down the equation of the line in 2 decimal places. Interpret the value of the slope, b, to given context. Calculate the product-moment correlation coefficient for the given data. Comment on the value.

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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Answer question 6
6. An investigation was carried out on 10 second-hand cars to explore the relationship between the age of the car, t years and the mileage, M thousand kilometres. The data collected from each car are shown in the following table. Age, t (years) 2 2.5 3 4 4.5 4.5 5 6.5 3 Mileage, M (thousands km) 25 36 32 40 42 45 50 55| 30 58 Σt= 41,ΣΜ = 413, ΣtM1833 , Σt2= 188, ΣΜ218123 (a) Find the regression line M = a + bt for the given data and write down the equation of the line in 2 decimal places. (b) Interpret the value of the slope, b, to given context. (c) Calculate the product-moment correlation coefficient for the given data. Comment on the value. (d) A second-hand car dealer estimates the mileage for a 10 year-old car to be around 132 thousand kilometres. Is the estimation made reliable? State your reason.
Transcribed Image Text:6. An investigation was carried out on 10 second-hand cars to explore the relationship between the age of the car, t years and the mileage, M thousand kilometres. The data collected from each car are shown in the following table. Age, t (years) 2 2.5 3 4 4.5 4.5 5 6.5 3 Mileage, M (thousands km) 25 36 32 40 42 45 50 55| 30 58 Σt= 41,ΣΜ = 413, ΣtM1833 , Σt2= 188, ΣΜ218123 (a) Find the regression line M = a + bt for the given data and write down the equation of the line in 2 decimal places. (b) Interpret the value of the slope, b, to given context. (c) Calculate the product-moment correlation coefficient for the given data. Comment on the value. (d) A second-hand car dealer estimates the mileage for a 10 year-old car to be around 132 thousand kilometres. Is the estimation made reliable? State your reason.
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