Homework Help is Here – Start Your Trial Now!
Math
Statistics
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 25 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 , Σ tM 1833 , Σt2= 188, ΣM2 18123 (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. 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 25 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 , Σ tM 1833 , Σt2= 188, ΣM2 18123 (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. 6.

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
See similar textbooks
icon
Related questions
Question
Answer the last question
5:17 1 1 Litmatch parts may be reposted. Step2 b) Q) For vegression line. M = atbt, b= ŹMt - 1(3M)(St) n (413).(4) 1833 - 188 - (41)2 » b = 7.02 and a= sM _bŹt 413. 7.02x 41 = 12.52 10 So the requession equation is- M=12.52+7.024 ) Inter pretatim of slope is - If the age of the the mileage of the car will increased by 7.02 (thous ands km). car is increased by a year then Step3 c) c) The product moment correlation coefficient is- ŹMt - (2M).(3 t) IS M) 1833 - I(413) ( 41) = 0.9591 To 10 This indicale Posttive and strong relationship between Mand t. IAWas thie solution halnful2 VX &
Transcribed Image Text:5:17 1 1 Litmatch parts may be reposted. Step2 b) Q) For vegression line. M = atbt, b= ŹMt - 1(3M)(St) n (413).(4) 1833 - 188 - (41)2 » b = 7.02 and a= sM _bŹt 413. 7.02x 41 = 12.52 10 So the requession equation is- M=12.52+7.024 ) Inter pretatim of slope is - If the age of the the mileage of the car will increased by 7.02 (thous ands km). car is increased by a year then Step3 c) c) The product moment correlation coefficient is- ŹMt - (2M).(3 t) IS M) 1833 - I(413) ( 41) = 0.9591 To 10 This indicale Posttive and strong relationship between Mand t. IAWas thie solution halnful2 VX &
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS