A regression line has a slope of 2.334. If the mean of the x-coordinates of the data points is 6.607, and the mean of the y-coordinates is 10.738, what is the y-value of the y-intercept of the line to three decimal places?

- 4.683

Step-by-step explanation:

Given that:

Slope of regression line = 2.334

Mean of x coordinate = 6.607

Mean of y coordinate = 10.738

Y value of the y intercept of the line :

The value of the intercept can be obtained using the the relation :

Mean of y coordinate - slope(mean of x coordinate)

Ybar - slope(xbar)

10.738 - 2.334(6.607)

= −4.682738

= - 4.683 ( 3 decimal places)

Hence, intercept = - 4.683