Researchers at the Centers for Disease Control and Prevention (CDC) have collected data on the rate of Alzheimer’s disease from a random sample of persons across the country aged 50 and above (n = 250). In particular, researchers are curious in studying a claim made by the tobacco industry that there is a negative relationship between smoking cigarettes and the risk of contracting Alzheimer’s. The researchers have calculated a Pearson’s r correlation of −.709 for the two variables. The researchers have also calculated (using a computer) a significance value of .005. In a paragraph of five to six sentences, based on the results from the correlation, what conclusions can the researchers make about the relationship between smoking and getting Alzheimer’s? Ensure that you mention the unit of analysis, the direction of the relationship, the strength of the relationship, whether the findings are statistically significant, and how accurately the results would reflect the population. Do these findings support the tobacco industry’s claim? Why or why not?
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Researchers at the Centers for Disease Control and Prevention (CDC) have collected data on the rate of Alzheimer’s disease from a random sample of persons across the country aged 50 and above (n = 250). In particular, researchers are curious in studying a claim made by the tobacco industry that there is a negative relationship between smoking cigarettes and the risk of contracting Alzheimer’s. The researchers have calculated a Pearson’s r
In a paragraph of five to six sentences, based on the results from the correlation, what conclusions can the researchers make about the relationship between smoking and getting Alzheimer’s? Ensure that you mention the unit of analysis, the direction of the relationship, the strength of the relationship, whether the findings are statistically significant, and how accurately the results would reflect the population. Do these findings support the tobacco industry’s claim? Why or why not?
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