11.6 Use the output from Minitab for these data to answer the following questions. (Instead of using the minitab output given, use R to get a similar output and answer the questions)) x 20 36 50 80 95 121 85 63 98 108 y 32 75 87 152 195 274 184 123 136 203 a. Plot the data on a scatterplot. b. Locate the least-squares prediction from the output given here, and draw the regression line in the scatterplot. c. Does the predicted equation seem to represent the data adequately
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.
11.6 Use the output from Minitab for these data to answer the following questions. (Instead of using the minitab output given, use R to get a similar output and answer the questions))
x 20 36 50 80 95 121 85 63 98 108
y 32 75 87 152 195 274 184 123 136 203
a. Plot the data on a scatterplot.
b. Locate the least-squares prediction from the output given here, and draw the regression line in the scatterplot.
c. Does the predicted equation seem to represent the data adequately?
d. Predict y when x 5 77.
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