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what percentage of observed variation in hardness can be explained by the linear relationship between hardness and elapsed time? (round your answer to one decimal place.)

Sagot :

95.1% of the proportion of observed variation in hardness can be explained by the simple linear regression model relationship between hardness and elapsed time.

Linear regression model:

In statistics, linear regression model defined the relationship between a dependent variable, y, and one or more independent variables, X.

Given,

Here we need to find the percentage of observed variation in hardness can be explained by the linear relationship between hardness and elapsed time.

In order to find the percentage we must know the definition of observed variation which means  the combined variation that is derived from all sources.

In order to solve this let us consider that the linear regression model is used by statisticians to predict the value of the response variable for given values of the predictor variables.

So, if there are two variables involved in the regression analysis, then the model is called a bivariate one.

Where as If there are more than two independent variables, then the regression model is known as the multiple regression model.

To know more about Linear Regression model here.

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