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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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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: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.
Preview File
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(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
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(f) Interpret the slope of the least-squares regression line in the context of the problem.
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countries can be explained by the average emission of CO2 per person in the USA?
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Transcribed Image Text:Preview File ExtraCreditChapte... Ex the che anourt of Dissione in USA and the amount of DDE inteles? To investigate that question reencher second the CC je makina in the USA and in her 12 years 44 TAP T ITATAN 162 163 MA 333338373734 K-415-PRL- The Co 2. the reason y 1 Piper peinther countries the vage-co cond by the of 2 dalolate Edit View Go Tools Window Help 678 9 F ExtraCreditChapter4OERFall2022-3.pdf (page 2 of 2) NOV LO 5 (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? T P tv S Search W 90% Sat 2:12 AM hot .26 PM hot .47 AM hot 39 PM hot AM hot AM hot PM \\.pdf Screen Shot Screen Shot 2021-03...5.53 AM Screen Shot 2021-05...57.01 PM Screen Shot 2021-07...1 PM Screen Shot 2021-07...0 PM C hot Screen Shot .35 AM 2021-09...9.23 PM
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