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
icon
Related questions
Question

E pls

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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt