Q6. The following set of data were gathered from six laptops, displaying hours on charger per day and hours of battery life to discover whether a correlation exists between these two variables. For the following data: Hours on charger 8 6 5 4 3 2 Hours of battery life (y) 1 2 2 2 4 6 You may assume that Ex = 28, 2x2 = 154, Σy = 17, Σy2 = 65, Exy = 62 a) Draw a scatter diagram to represent the data. b) Find Sxx, Sxy and Syy. c) Calculate Pearson's moment correlation coefficient. d) Interpret Pearson's moment correlation coefficient. e) Calculate the values of a and b for the regression equation y=a + bx. f) Draw the regression line on your scatter diagram. g) Interpret the slope (b) of the regression line. h) Estimate the hours of battery life if a laptop is charged for 7 hours per day.
Q6. The following set of data were gathered from six laptops, displaying hours on charger per day and hours of battery life to discover whether a correlation exists between these two variables. For the following data: Hours on charger 8 6 5 4 3 2 Hours of battery life (y) 1 2 2 2 4 6 You may assume that Ex = 28, 2x2 = 154, Σy = 17, Σy2 = 65, Exy = 62 a) Draw a scatter diagram to represent the data. b) Find Sxx, Sxy and Syy. c) Calculate Pearson's moment correlation coefficient. d) Interpret Pearson's moment correlation coefficient. e) Calculate the values of a and b for the regression equation y=a + bx. f) Draw the regression line on your scatter diagram. g) Interpret the slope (b) of the regression line. h) Estimate the hours of battery life if a laptop is charged for 7 hours per day.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
E pls
Transcribed Image Text:Q6.
The following set of data were gathered from six laptops, displaying hours on charger per
day and hours of battery life to discover whether a correlation exists between these two
variables. For the following data:
Hours on
charger
8
6
5
4
3
2
Hours
of
battery
life (y)
1
2
2
2
4
6
You may assume that Σx = 28, Σx2 = 154, Σy = 17, Σy2 = 65, Σxy = 62
a) Draw a scatter diagram to represent the data.
b) Find Sxx, Sxy and Syy.
c) Calculate Pearson's moment correlation coefficient.
d) Interpret Pearson's moment correlation coefficient.
e) Calculate the values of a and b for the regression equation y=a + bx.
f) Draw the regression line on your scatter diagram.
g) Interpret the slope (b) of the regression line.
h) Estimate the hours of battery life if a laptop is charged for 7 hours per day.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman