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 (x) 8 6 5 4 3 2 Hours of battery life (y) 1 2 2 2 4 6 You may assume that Ex = 28, Σx2 = 154, Σy = 17, Σy2 = 65, Exy = 62 a) Draw a scatter diagram to represent the data. b) Find Sxx, Sxy and Syy.
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 (x) 8 6 5 4 3 2 Hours of battery life (y) 1 2 2 2 4 6 You may assume that Ex = 28, Σx2 = 154, Σy = 17, Σy2 = 65, Exy = 62 a) Draw a scatter diagram to represent the data. b) Find Sxx, Sxy and Syy.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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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.
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