Answer:
a) response variable
Step-by-step explanation:
The response variable is the variable that depends on other variables such as the independent or explanatory variable, it is the variable that is being tested. The response variable is also called the dependent variable.
In linear regression, the y variable is referred to as the response variable while the x variable is referred to as the explanatory or independent variable.
In this case the y variable is "the number of times they cough in a day" and this variation depends on the x variable "number of cigarettes a person smokes in a day".
Answer:
=6
Step-by-step explanation:
(5×8)×(5-2)/(5×4)
Numerator =40×3
=120
Denominator = 5×4
=20
simplifying 120/20
=6
1) y= -4x+c
2) y= 3x+c replace x and y to find c , 5=3(2)+c
C= -1
Y=3x-1
3) find slope first m=y2-y1/x2-x1 = 0-(-1)/-2-1 = 1/-3 and now you have y= -1/3x+c to find c just replace any of the given points , 0= -1/3(-2)+c
C= -2/3 and so y= -1/3x-2/3
4) DO THE SAME STEP AS NUMBER 3 and enjoy!
Answer:
5y - 6x = 53
Step-by-step explanation:
Given the segment with endpoints M(−3, 7) and N(9, −3), let us find the slope first
m = y2-y1/x2-x1
m = -3-7/9-(-3)
m = -10/12
m = -5/6
Since the unknown line forms a perpendicular bisector, the slope of the unknown line will be:
m = -1/(-5/6)
m = 6/5
To get the intercept of the line, we will substitute m = 6/5 and any point on the line say (-3, 7) into the equation y = mx+c
7 = 6/5 (-3)+c
7 = -18/5 + c
c = 7 + 18/5
c = (35+18)/5
c = 53/5
Substitute m = 6/5 and c = 53/5
y = 6/5 x + 53/5
multiply through by 5
5y = 6x + 53
5y - 6x = 53
hence the point-slope equation of the perpendicular bisector is 5y - 6x = 53
