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The concept of linear regression evolved from Galton's concept of "regression from the mean". The two concepts were developed simultaneously, though it was Galton's pupil, Karl Pearson, who formalized the mathematics behind linear regression and was able to calculate the R-value formally, while Galton could only make estimates on the slope of a regression line. In modernity regression analysis is used as a golden standard for research in medicine and the social sciences. we learned about linear regression. Look at the attached scatterplot below that compares Per Capita Meat Consumption and Colon Cancer incidence per country. Now that you are equipped with the concept of correlation, do you think that we can make a statistically significant inference about the relationship between meat consumption and colon cancer? Consider the following points in answering this question: Do we need to survey more countries to make a conclusion? How strong is the correlation? What do you think the r^2 would be if you ran a linear regression? Are there any ot

The concept of linear regression evolved from Galton's concept of "regression from the mean". The two concepts were developed simultaneously, though it was Galton's pupil, Karl Pearson, who formalized the mathematics behind linear regression and was able to calculate the R-value formally, while Galton could only make estimates on the slope of a regression line. In modernity regression analysis is used as a golden standard for research in medicine and the social sciences. we learned about linear regression. Look at the attached scatterplot below that compares Per Capita Meat Consumption and Colon Cancer incidence per country. Now that you are equipped with the concept of correlation, do you think that we can make a statistically significant inference about the relationship between meat consumption and colon cancer? Consider the following points in answering this question: Do we need to survey more countries to make a conclusion? How strong is the correlation? What do you think the r^2 would be if you ran a linear regression? Are there any ot

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 2AGP
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The concept of linear regression evolved from Galton's concept of "regression from the mean". The two concepts were developed simultaneously, though it was Galton's pupil, Karl Pearson, who formalized the mathematics behind linear regression and was able to calculate the R-value formally, while Galton could only make estimates on the slope of a regression line. In modernity regression analysis is used as a golden standard for research in medicine and the social sciences. we learned about linear regression. Look at the attached scatterplot below that compares Per Capita Meat Consumption and Colon Cancer incidence per country. Now that you are equipped with the concept of correlation, do you think that we can make a statistically significant inference about the relationship between meat consumption and colon cancer? Consider the following points in answering this question: Do we need to survey more countries to make a conclusion? How strong is the correlation? What do you think the r^2 would be if you ran a linear regression? Are there any other factors we should take into consideration besides meat consumption?
Colon cancer incidence per 100,000 women Nig Jap Yug Chi Nor •Col •Swe Jam Fin PR Pol Rom Hun • Net ●Isr Den FDP DDP UK Ice •Can USA .NZ 40 80 120 160 200 240 280 320 Per Capita Daily Meat Consumption (grams) Retrieved from: http://sphweb.bumc.bu.edu/ott/MPH-Modules/QuantCore/PH717_Correlation-LinearRegression/PH717_Correlation- LinearRegression2.html
Transcribed Image Text:Colon cancer incidence per 100,000 women Nig Jap Yug Chi Nor •Col •Swe Jam Fin PR Pol Rom Hun • Net ●Isr Den FDP DDP UK Ice •Can USA .NZ 40 80 120 160 200 240 280 320 Per Capita Daily Meat Consumption (grams) Retrieved from: http://sphweb.bumc.bu.edu/ott/MPH-Modules/QuantCore/PH717_Correlation-LinearRegression/PH717_Correlation- LinearRegression2.html
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