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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 of the problem. (f) Interpret the slope of the least-squares regression line in the context of the problem.

(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.

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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ics Essay emissions in other countries decreases. (b) Find the equation of the least squares regression line: x= a + bx. Regression equation is given by, Round a and b to 1 decimal place. y=a+b*x here independent variable (X) is the CO2 emissions in USA. And dependent variable (Y) is the CO2 emissions in other countr b= r*sy/sx =-0.802*1.26/0.66 b= 1.531 b= 1.5 a= 9-b*x = 18.68-1.5 * 4.15 If x=4 then y=a+b*x = 12.5+1.5*4 a= 12.455 a= 12.5 Regression equation: v= 12.5+ 1.5*x (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. = 18.5 The predicted CO2 emissions per person in other countries is 18.5. (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?
Transcribed Image Text:ics Essay emissions in other countries decreases. (b) Find the equation of the least squares regression line: x= a + bx. Regression equation is given by, Round a and b to 1 decimal place. y=a+b*x here independent variable (X) is the CO2 emissions in USA. And dependent variable (Y) is the CO2 emissions in other countr b= r*sy/sx =-0.802*1.26/0.66 b= 1.531 b= 1.5 a= 9-b*x = 18.68-1.5 * 4.15 If x=4 then y=a+b*x = 12.5+1.5*4 a= 12.455 a= 12.5 Regression equation: v= 12.5+ 1.5*x (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. = 18.5 The predicted CO2 emissions per person in other countries is 18.5. (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?
Extra Credit for Test 2 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) 20 CO2 Emissions Per Person in Other Countries vs USA 1 2 3 4 Text 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? Negative, Given that, the correlation coefficient between CO2 emissions in USA and CO2 emissions in other countries is -0.802. The sign of the correlation coefficient is negative so there is a negative correlation between CO2 emissions in USA and CO2 emissions in other countries. That means at the CO2 emissions in USA increases the CO2 emissions in other countries decreases. (b) Find the equation of the least squares regression line: Regressione Round a and b to 1 decimal place. Tèquation is given by, y=a+b*x here independent variable (X) is the CO2 emissions in USA. And dependent variable (Y) is the CO2 emissions in other countr b= r*sy/sx =-0.802*1.26/0.66 b= 1.531 b= 1.5 a= 9-b*x =18.68-1.5*4.15 a= 12.455 a= 12.5 Regression equation: v= 12.5+ 1.5*x If x=4 then y=a+b*x = 12.5+1.5*4 = 18.5 The predicted CO2 emissions per person in other countries is 18.5. (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.
Transcribed Image Text:Extra Credit for Test 2 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) 20 CO2 Emissions Per Person in Other Countries vs USA 1 2 3 4 Text 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? Negative, Given that, the correlation coefficient between CO2 emissions in USA and CO2 emissions in other countries is -0.802. The sign of the correlation coefficient is negative so there is a negative correlation between CO2 emissions in USA and CO2 emissions in other countries. That means at the CO2 emissions in USA increases the CO2 emissions in other countries decreases. (b) Find the equation of the least squares regression line: Regressione Round a and b to 1 decimal place. Tèquation is given by, y=a+b*x here independent variable (X) is the CO2 emissions in USA. And dependent variable (Y) is the CO2 emissions in other countr b= r*sy/sx =-0.802*1.26/0.66 b= 1.531 b= 1.5 a= 9-b*x =18.68-1.5*4.15 a= 12.455 a= 12.5 Regression equation: v= 12.5+ 1.5*x If x=4 then y=a+b*x = 12.5+1.5*4 = 18.5 The predicted CO2 emissions per person in other countries is 18.5. (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.
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