Basic Theory (Which statement is correct?) The best fitting line is found using

Question

Basic Theory (Which statement is correct?)

The best fitting line is found using advanced math to minimize the vertical distances from the points to the line. Hence, the Y coordinate of a point on the best fitting line provides an estimate of Y at the value of the corresponding X coordinate This process is called regression (to move backward) because:

A The estimate of Y will be closer to the mean in standard deviations than X is.

B The estimate of Y will be farther from the mean in standard deviations than X is.

Explanation / Answer

Correct option is A.

The estimate of Y will be closer to the mean in standard deviations than X is.

A regression of y on x is a way of predicting values of y when values of x are given. If the regression is based on a straight line graph, it is called a linear regression, and the straight line is called the regression line. The regression line (sometimes referred to as the line of best fit) of y on x is then the line that gives the best prediction of values of y from those of x.

The independent variable is the regressor, and the dependent variables is called regressand. The coefficients are found by minimizing the sum of the squares of the vertical distances of the points from the line (i.e. the sum of the squares of the residuals). This method is known as least squares.

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