The table below shows the approximate percent of students who sent applications to two colleges in various years since 1985. A regression equation for this line is y = -0.42x 19.26

What does the slope and y-intercept indicate?
a. The slope indicates that the percentage in 1985 should have been about 19%. The y-intercept indicates that the percent is falling at about 0.4% each year.
b. The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%
c. The slope indicates that the percent has remained the same each year. The y-intercept indicate the percent in 1985 should have been 22%
d. There is not enough information to determine what the slope and y-intercept indicate.

b. The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%

Step-by-step explanation:

The slope of straight line indicates the rate of change and in a regression equation is the m in: y = mx + c

In the regression equation of y = -0.42 + 19.26, the slope is -0.42 indicating that the rate of change has been -0.42% which means that the percent is falling at about 0.42% per year.

The y intercept (c) measures the rate at the origin and in this equation is 19.26. As the origin of the line is 1985, this means that the percent in 1985 should have been about 19%.

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