Simplify the Expression. (Assume X and Y Are Positive.)

question 45

Essay

Simplify the expression. (Assume x and y are positive.)

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Definitions:

Coefficient of Correlation

A quantitative index showing the magnitude and direction of a linear correlation between two variables.

Y-intercept

The point where a line or curve intersects the y-axis of a graph, corresponding to the value of the dependent variable when all independent variables are zero.

Least Squares Line

A line of best fit determined by minimizing the sum of squares of the differences between observed values and the values predicted by the line.

Sample Regression Line

A line of best fit through a scatterplot of sample data points in regression analysis, used to estimate the relationship between variables.