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c) Calculate Pearson's moment correlation coefficient. d) Interpret Pearson's moment correlation coefficient.

c) Calculate Pearson's moment correlation coefficient. d) Interpret Pearson's moment correlation coefficient.

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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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.
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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