Y=mx+b
m=slope
b=yintercept
slope=(y1-y2)/(x1-x2)
(x,y)
x1=6
y1=-4
x2=-6
y2=2
(-4-2)/(6-(-6))=-6/12=-1/2
y=-1/2x+b
subsitute one point
(6,-4)
x=6
y=-4
-4=1/2(6)+b
-4=3+b
subtract 3
-7=b
y=-1/2x-7 is answer
Answer:
(a): y increases on average by 8.63/unit of x1 in the first equation and increases on average by 9.01/unit of x1 in the second
(b): Yes
Step-by-step explanation:
Given


Solving (a): An interpretation of x1 coefficient
We have the coefficients of x1 to be 8.63 and 9.01
Literally, the coefficient represents the average change of y-variable per unit increase of the dependent variable
Since the coefficients of x1 in both equations are positive, then that represents an increment on the y variable.
So, the interpretation is:
y increases on average by 8.63/unit of x1 in the first equation and increases on average by 9.01/unit of x1 in the second
Solving (b): Multicollinearity
This could be the cause because x1 and x2 are related and as a result, x2 could take a part of the coefficient of x2
<u>Answer:</u>
The Time taken by Elena and Jade to meet up is 2.5 hours
<u>Explanation:</u>
Given,
Elena moves with a speed of 6mph while Jada walks at a speed of 4 mph
Also, Distance can be calculated by the formula

To find out the Total speed, i.e., speed of both Elena and Jada as both of them are walking in opposite direction we should add the speed of both the persons, if in same direction we should subtract the values
Here it will be:
= 10mph
Distance apart is given as 25 miles. Substituting the values,

25 = 
Time = 25/10
Time = 2.5 hour
Hence, It will take 2.5 hours to meet up.
The probability of guessing 4 right is
.. (5C4)*(1/2)^5 = 5/32
The probability of guessing 5 right is
.. (5C5)*(1/2)^5 = 1/32
So, the probability of guessing 4 or 5 right is
.. (5+1)/32 = 6/32 = 0.1875