Answer:
d. always zero.
Step-by-step explanation:
A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.
For a least squares regression line, the sum of the residuals is always zero.
Basically, residuals are used to measure or determine whether or not the line of regression is a good fit or match for the data by subtracting the difference between them i.e the predicted y value and the actual y value, for the x value respectively.
Answer:
4, 343
Step-by-step explanation:
numerator: 6-2=4; (4^2)^2=4^4;
denominator: 3+1=4; 4^3
thus, 4^4/4^3=4
numerator: (14-7)^9=7^9
denominator: ((3+4)^3)^2=(7^3)^2=7^6
thus, 7^9/7^6=7^(9-6)=7^3=343
Given:-

To find:-
The simplified form.
At first we take conjucate and multiply below and above.
The conjucate is,

So now we multiply. we get,

Now we simplify. so we get,

We know the value of,

Substituting the value -1. we get,

So now we split the term to bring it into the form a+ib. so we get,

So the required solution is,
The unknown exponent is 5
Pick two points
(2, 18) and (4,21)
(21-18)/(4-2) = 3/2
The slope is 3/2