Show your work Is there a correlation between the amount of CO2 emissions in USA and the amount of CO2 emissions in other countries? To investigate that question researchers recorded the average amount of CO2 emissions (in metric tons) in the USA and in other countries over 12 years. 3.3 3.3 3.5 3.7 3.7 3.8 4.5 4.6 4.7 4.7 5 5 20 19.6 19.4 19.6 19.0 19.5 19.2 17.5 18.5 19.2 16.3 16.4 X y CO2 Emissions in Other Countries (metric tons) 25 20 CO2 Emissions Per Person in Other Countries vs USA 1 2 3 4 CO2 Emissions in USA (metric tons) Note: x = 4.15, Sx = 0.66, y=18.68, sy = 1.26 5 6 (a) The sample correlation coefficient r=-0.802. Is there a correlation between the CO2 emissions in USA and the CO2 emissions in other countries? Justify your answers using statistical concepts. If there is a correlation, is it positive or negative? (b) Find the equation of the least squares regression line: y = a + bx. Round a and b to 1 decimal place.
Show your work Is there a correlation between the amount of CO2 emissions in USA and the amount of CO2 emissions in other countries? To investigate that question researchers recorded the average amount of CO2 emissions (in metric tons) in the USA and in other countries over 12 years. 3.3 3.3 3.5 3.7 3.7 3.8 4.5 4.6 4.7 4.7 5 5 20 19.6 19.4 19.6 19.0 19.5 19.2 17.5 18.5 19.2 16.3 16.4 X y CO2 Emissions in Other Countries (metric tons) 25 20 CO2 Emissions Per Person in Other Countries vs USA 1 2 3 4 CO2 Emissions in USA (metric tons) Note: x = 4.15, Sx = 0.66, y=18.68, sy = 1.26 5 6 (a) The sample correlation coefficient r=-0.802. Is there a correlation between the CO2 emissions in USA and the CO2 emissions in other countries? Justify your answers using statistical concepts. If there is a correlation, is it positive or negative? (b) Find the equation of the least squares regression line: y = a + bx. Round a and b to 1 decimal place.
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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Transcribed Image Text:Show your work
Is there a correlation between the amount of CO2 emissions in USA and the amount of CO2
emissions in other countries? To investigate that question researchers recorded the average
amount of CO2 emissions (in metric tons) in the USA and in other countries over 12 years.
3.3 3.3 3.5 3.7 3.7 3.8 4.5 4.6 4.7 4.7 5
19.6 19.0 19.5 19.2 17.5
5
20 19.6 19.4
18.5
19.2
16.3
16.4
X
y
CO2 Emissions in Other Countries
(metric tons)
25
0
CO2 Emissions Per Person in
Other Countries vs USA
1
2
3
4
CO2 Emissions in USA (metric tons)
Note: x = 4.15, Sx = 0.66, y=18.68, sy = 1.26
5
6
(a) The sample correlation coefficient r=-0.802. Is there a correlation between the CO2
emissions in USA and the CO2 emissions in other countries? Justify your answers
using statistical concepts. If there is a correlation, is it positive or negative?
(b) Find the equation of the least squares regression line: y = a + bx.
Round a and b to 1 decimal place.

Transcribed Image Text:Preview File
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(c) Predict the average CO2 emission per person in other countries if the average CO2
emission per person in USA is 4 metric tons. Round your final answer to one
decimal place.
(d) Graph the least-squares regression line on the scatter diagram provided above. Give
the coordinates (x,y) of the two points you are using to graph the line.
(e) If appropriate, interpret the y-intercept of the least-squares regression line in the context
of the problem.
(f) Interpret the slope of the least-squares regression line in the context of the problem.
(g) What percentage of the variation in the average emission of CO2 per person in other
countries can be explained by the average emission of CO2 per person in the USA?
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