Question

From a set of pairs of observations of the variables x and y, it is found that the regression line y on x passes through the point (0, 1.8). If the means of the x and y values are 5.0 and 8.3 respectively. Find the equation of the regression line of y on x in the form =

Answer 1

The equation of the regression line of y on x, given the point (0, 1.8) and means (5.0, 8.3), is y = 1.3x + 1.8.

Step-by-step explanation:

The student is asking for the equation of the regression line of y on x, given it passes through the point (0, 1.8) and that the means of the x and y values are 5.0 and 8.3, respectively. The regression line is given in the form y = mx + b, where m is the slope, and b is the y-intercept.

Since the line passes through (0, 1.8), the y-intercept (b) is 1.8. The slope (m) can be found using the fact that the line goes through the mean point (5.0, 8.3) as well. The slope is calculated by the rise over run formula, which in this case is (8.3 - 1.8) / (5.0 - 0) = 6.5 / 5.0 = 1.3. Therefore, the equation of the regression line is y = 1.3x + 1.8.