The costs of college over time kiana is researching how the...

The Costs of College Over Time Kiana is researching how the costs of college have changed over time. She finds data on the average annual cost of attending a 4-year college since 1970, adjusted for inflation. It includes the cost of tuition, required fees, housing, and food. Kiana uses linear regression to find the line of best fit. Here are her results: ŷ = 0.42x + 8.11 r2 = 0.95 Based on her linear regression model, what is the predicted annual cost of college in 2030 (60 years after 1970)?

Transcript

00:01 So this problem tells us that in the year 1990, the average tuition and fees at a private college were about $8 ,050 a year.

00:08 Since then, the annual cost has increased by about $90 per year.

00:13 And our first objective is to write a linear equation in slope intercept form that models the cost, which will represent by the variable c, to attend a private college t years after 1990.

00:25 So the first thing i notice is they mention slope intercept form.

00:29 Now normally when we talk about slope intercept form, we think about y equals mx plus b, where m represents our slope, b represents our y intercept, x is our independent variable, and y is our dependent variable.

00:44 So x and y are quantities that can change.

00:47 Slope is going to be our constant rate of change, and our y intercept is going to be our initial amount or our starting amount, because that's the amount when x equals zero.

00:57 Now in this case we're being asked to not use the variables x and y, but to use the variables c and t.

01:04 So in order to make sure i put those in the right place, like should i put c in the place of y or should i put t? so cost or time, what i like to do is i like to use this sentence, y depends on x because y is always my dependent variable and x is always my independent variable.

01:20 And in this case cost, which is c, depends on time.

01:27 So because of this, what i can see is that the variable y is going to be substituted with c and the variable x is going to be substituted with t.

01:36 So instead of y equals mx plus b, the equation is going to look like c equals mt plus b.

01:45 So m is still going to represent our slope or our constant rate of change.

01:49 B is still going to represent our initial amount.

01:50 Or in this case our c intercept.

01:53 But instead of talking in terms of x and y, we're talking in terms of c and t.

01:57 So i want to look through and see if, do i know my slope? do i know my constant rate of change? and i do.

02:03 It's saying that the annual cost is increasing by about $900 per year...

Question

Please give Ace some feedback