Within a population, the differences that exists from one person to another are often called diversity. Researchers comparing cognitive skills for younger adults and older adults, typically find greater differences (greater diversity) in the older population (Morse, 1993). Following are typical data showing problem-solving scores for two groups of participants. Older Adults-(average age 72) Younger Adults (average age 31) 9, 4, 7, 3, 8 7, 9, 6, 7, 8 6, 2, 8, 4, 5, 6, 7, 6, 6, 8 7, 5, 2, 6, 6 9, 7, 8, 6, 9 Use the formula for standard deviation displayed in this problem and show calculations. Older Younger N = N = ∑∑X= ∑∑X = Population mean μμ= Population mean μμ = ∑∑X2 = ∑∑X2 = SS = SS = Population variance σσ2 = Population variance σσ2 = Standard deviation σσ = Standard deviation σσ =
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.
Within a population, the differences that exists from one person to another are often called diversity. Researchers comparing cognitive skills for younger adults and older adults, typically find greater differences (greater diversity) in the older population (Morse, 1993). Following are typical data showing problem-solving scores for two groups of participants.
Older Adults-(average age 72) Younger Adults (average age 31)
9, 4, 7, 3, 8 7, 9, 6, 7, 8
6, 2, 8, 4, 5, 6, 7, 6, 6, 8
7, 5, 2, 6, 6 9, 7, 8, 6, 9
Use the formula for standard deviation displayed in this problem and show calculations.
Older Younger
N = N =
∑∑X= ∑∑X =
Population mean μμ= Population mean μμ =
∑∑X2 = ∑∑X2 =
SS = SS =
Population variance σσ2 = Population variance σσ2 =
Standard deviation σσ = Standard deviation σσ =
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