Percentage of young adults using social networkingsites. In 2006, the percentage of 18- to 29-year-oldswho used social networking sites was 49%. In 2013, thatpercentage had risen to 89%. (Source: pewresearch.org.)a) Use the year as the x-coordinate and the percentageas the y-coordinate. Find the equation of the line thatcontains the data points.b) Use the equation in part (a) to estimate thepercentage of young adults using social networkingsites in 2014.c) Use the equation in part (a) to estimate the year inwhich the percentage of young adults using socialnetworking sites will reach 100%.d) Explain why a linear equation cannot be used foryears after the year found in part (c).
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.
Percentage of young adults using social networking
sites. In 2006, the percentage of 18- to 29-year-olds
who used social networking sites was 49%. In 2013, that
percentage had risen to 89%. (Source: pewresearch.org.)
a) Use the year as the x-coordinate and the percentage
as the y-coordinate. Find the equation of the line that
contains the data points.
b) Use the equation in part (a) to estimate the
percentage of young adults using social networking
sites in 2014.
c) Use the equation in part (a) to estimate the year in
which the percentage of young adults using social
networking sites will reach 100%.
d) Explain why a linear equation cannot be used for
years after the year found in part (c).
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