I do not want to use algebra but instead statistics regression. But I cannot find the way to get the answers. Please can somebody tell me how to work this out. Thank you.
A coach recorded the height of each child at a baseball academy, as well as the average distance the child could throw the ball. The regression line used to model the relationship between the height and throwing distance has the equation y = -22.2 + 0.47x, where:
y is the average distance in meters that the child can throw the ball and
x is the child's height in centimeters.
a) what is the estimated distance (in meters) that a child of height 147 cm can throw the ball?
b) what is the estimated increase in the distance (in meters) that a ball can be thrown if there is an increase from 147 cm to 155 cm in the height of the child?