A sample of 40 individuals collects their shoe size and the height (cm) for CSI data. The scatter plot and results from a simple linear regression are recorded: HEIGHT = 126.76238 + 4.8782178 SHOE SIZE Sample size: 40 R (correlation coefficient) = 0.77918855 P-value < 0.0001 (a) Does the scatterplot and results show a linear correlation between shoe size and height? (b) How can you tell? (c) Will it be appropriate to use the linear regression equation given in the output? (d) Krusty the Clown wears size 8.5 shoes. According to the linear regression equation, how tall is Krusty the Clown? (e) Sideshow Bob wears size 14 shoes. According to the linear regression equation, how tall is Sideshow Bob?
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.
A sample of 40 individuals collects their shoe size and the height (cm) for CSI data. The
HEIGHT = 126.76238 + 4.8782178 SHOE SIZE
R (
P-value < 0.0001
-
(a) Does the scatterplot and results show a
linear correlation between shoe size and height? -
(b) How can you tell?
-
(c) Will it be appropriate to use the linear regression equation given in the output?
-
(d) Krusty the Clown wears size 8.5 shoes. According to the linear regression equation, how tall is Krusty the Clown?
-
(e) Sideshow Bob wears size 14 shoes. According to the linear regression equation, how tall is Sideshow Bob?
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