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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 24PFA
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