A linear regression model for the height of balsam fir trees is h = 3.8d + 18.73, where d is the Dbh in inches and h is the height in feet. a) Interpret the slope of this model. b) What is the effect of a 1 – inch increase in Dbh? c) Estimate the height of a balsam fir with a Dbh of 8 inches. Round your answer the nearest foot. d) Estimate the Dbh of a balsam fir that is 30 feet tall. Round your answer to the nearest
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 linear regression model for the height of balsam fir trees is
h = 3.8d + 18.73, where d is the Dbh in inches and h is the height in feet.
a) Interpret the slope of this model.
b) What is the effect of a 1 – inch increase in Dbh?
c) Estimate the height of a balsam fir with a Dbh of 8 inches. Round your answer the
nearest foot.
d) Estimate the Dbh of a balsam fir that is 30 feet tall. Round your answer to the nearest
inch.
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