Find the linear regression equation for an approximate linear model for Gary's recent mountain bike rides. Use the data below. Let d be the ride distance in miles and t be the ride time in hours. time (hours) distance (miles) 20 18 0.77 7.21 16 0.83 7.79 14 0.95 12 10 9.19 1.15 9.92 8 1.47 13.74 1.53 13.38 1.76 16.82 0.25 0.5 0.75 125 15 1.75 -2 a. State the linear equation: Round to the nearest hundredth. b. Interpret the slope: For each additional 1 hour further on average. vv Gary rides, he will travel about 9.19 miles miles c. Use your linear equation to estimate the distance of a 1.5-hour ride, to the nearest tenth of a mile. miles
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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