Answer:
D) collinearity
Step-by-step explanation:
Collinearity occurs when a few of the independent variables are related or match up. Collinearity increases the large proportion the variance of an estimated regression coefficient which leads to certain regression coefficient having wrong signs. It is used to explain the relationship between two variables.
Looking at the problem, what we must do to complete this question is to completely factor the expression that was provided. The expression that was provided is
.
The first step that we must do is to take a look at the expression and see what the two pieces of the expression have in common. We can see that both
and
have the number 5 and the variable c associated with them so we can factor out those two.
<u>Factor out 5c</u>
Now we have completely factored out the expression that was provided in the problem statement and we came to final answer of
.
To make the input-output table, we need to plug in the given vaues of x's in the equation to get their corresponding values of y.
Let's plug in x = -2 in y = 6x +5. So,
y = 6( -2) + 5 = -12 + 5 = -7
Similarly for x = 0, y= 6(0) + 5 = 5
For x = 1, y = 6(1) + 5 = 6 + 5 = 11
For x = 4, y = 6(4) + 5 = 24 + 5 = 29
For x= 5, y = 6(5) + 5 = 30 + 5 = 35.
I am attaching the input -output table from the above result.
Hope this helps you!