A regression line with which of these slopes indicates the greatest rate of change?

a. 14.225

b. 10.575

c. 3.575

d. 7.225

A slope indicates how much the value of vertical scale (y) is changing in comparison to the value on horizontal scale (x).

Change in y divided by Change in x shows the rate of change. So the slope shows the rate of change of a variable. The greater the value of the slope, the greater will be the rate of change. For a smaller value of slope, the rate of change will be the smaller.

From the given options, the largest value of the slope is 14.225. So option A indicates the greatest rate of change