Answer:
1. annual tuition 2. $-27139 3. slope = -0.91
Step-by-step explanation:
1. An independent variable is the factor that is not determined by the model in this case the annual tuition variable (the linear regression model factor)
2. substitute $30,000 into the linear regressions equation gives:
y = -0.91(30000) + 161 = -27139
This value tells us that when the annual tuition is $30,000 the average mid-career salary of graduates is predicted to be -$27,139
3. the slope if the regression is represented by the coefficient of the factor in the linear regression model. In this case, as the factor is x or the annual tuition, and the coefficient of this variable in the given example is -0.91 which in turn is the slope of the model.
If the y-intercepts are the same, then the two linear have the same y-intercept as a solution. That is one common solution for both expressions. The two expressions intersect at that point. Since the slopes are different, there are no more common solutions since if two different lines intersect, they intersect at exactly one point and no more.
Answer: 1 intersection
The first step for solving this equation is to collect the like terms with an r variable.
-r - 2 = -9
Now move the constant to the right side of the equation and then change its sign.
-r = -9 + 2
Calculate the sum on the right side of the equals sign.
-r = -7
Then lastly,, change the signs on both sides of the equation to find your final answer.
r = 7
This means that the correct answer to your question is going to be r = 7.
We can check this by putting 7 where r is in the equation. This means that in order to check this,, our equation will change to the following:
-8(7) - 2 + 7(7) = -9
We will first start checking this by multiplying the first two numbers together.
-56 - 2 + 7(7) = -9
Now multiply the 7 by the number in the parenthesis.
-56 - 2 + 49 = -9
Now use addition and subtraction rules to calculate the expression on the left side of the equals sign.
-9 = -9
This tells us that the equality us true because both sides of the equation are identical.
Let me know if you have any further questions.
:)
Hey there! :D
Let's keep the fraction 5/7 in mind. We should be able to reduce everything to 5/7.
15:21 (divide both by 3) you get 5:7. That is equivalent.
10 to 14. Divide both by 2. 5 to 7. That is equivalent.
The correct answer is 28/20. That is not equivalent.
I hope this helps!
~kaikers
