Answer:
-95.78
Step-by-step explanation:
As the researcher decided to make the number of parties attended per week the explanatory variable, this would be variable x in the regression line, and of course, the variable y would be the number of text messages sent per day.
After constructing the linear regression equation, the researcher found that an approximate value 
for the actual value of y could be represented by the line
Since this is an approximate value, it is not expected that it coincides with the actual value of y. We define then the residual for each value of x as the difference between the actual value of y and the approximation for the given x.
For the value x = 2 (the student attended 2 parties that week) the actual value of y is 20 (the student sent 20 text messages per day that week).
The approximate value of y would be according to the regression line
Hence, the residual value for x=2 would be
Answer:
no real solutions
3±32i
Step-by-step explanation:
used quadratic formula
The first question is 1000 then the second question is 10000
Answer:Equation at the end of step 1
STEP
2
:
4a2 - b2
Simplify ————————
2a - b
Trying to factor as a Difference of Squares:
2.1 Factoring: 4a2 - b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (2a + b) • (2a - b)
Canceling Out :
2.2 Cancel out (2a - b) which appears on both sides of the fraction line.
Final result :
2a + b
Step-by-step explanation:
