Concrete expands both horizontally and vertically over time. Measurements of horizontal and vertical expansion (in units of parts per hundred thousand) were made at several locations on a bridge in Quebec City in Canada. The results are presented in the following table. Horizontal Vertical 20 58 15 58 43 55 80 18 58 24 68 32 57 10 69 21 63 a. Compute the least-squares line for predicting vertical expansion (y) from horizontal expansion (x). b. Construct a 95% confidence interval for the slope B1. c. Test HO: B1 = 0 versus H1: B1 0. Can you conclude that horizontal expansion is useful in predicting vertical expansion? Use the a = 0.05 level of significance.
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.
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