how to write a simple linear regression equation

The slope can be calculated using the formula m − y 2 − y 1 x 2 − x 1. This allows us to find the slope and y-intercept of the median–median line. When this is completed, we can write the ordered pairs for the median values. Table 12.5 shows the correct ordering of the x values but does not show a reordering of the y values. However, to find the median, we first must rearrange the y values in each group from the least value to the greatest value. The corresponding y values are then recorded. We must remember first to put the x values in ascending order. The first and third groups have the same number of x values.

We first divide our scores into three groups of approximately equal numbers of x values per group. If multiple data points have the same y values, then they are listed in order from least to greatest y (see data values where x = 71).

Remember that this is the data from Example 12.6 after the ordered pairs have been listed by ordering x values. Let’s first find the line of best fit for the relationship between the third exam score and the final exam score using the median–median line approach. We can obtain a line of best fit using either the median–median line approach or by calculating the least-squares regression line.

If each of you were to fit a line by eye, you would draw different lines. We will plot a regression line that best fits the data. The third exam score, x, is the independent variable, and the final exam score, y, is the dependent variable.

How to write a simple linear regression equation