Question

For each value of x, the regression values from equation y=7+2x are obtained. The errors are the difference between the y values of the data points and the regression values. What is the equation for the regression line?

1) y = 7 + 2x
2) y = 7 - 2x
3) y = 7 * 2x
4) y = 7 / 2x

Answer 1

The equation for the regression line is y = 7 + 2x. It has a y-intercept of 7 and a slope of 2. The equation can be used to predict the y values for different x values in the data set.

Step-by-step explanation:

The equation for the regression line is y = 7 + 2x.

To find the equation, we use the given equation y=7+2x. The regression line represents the line that best fits the data points. In this case, the line has a y-intercept of 7 and a slope of 2. This means that the value of y increases by 2 for every increase of 1 in x.

For example, if x = 2, the predicted value of y would be 7 + 2*2 = 11. So, the equation y = 7 + 2x can be used to predict the y values for different x values in the data set.