Answer:
The linear regression model is .
Step-by-step explanation:
The given data points are (-6 4) (-4 0) (-3 -2) (-1 -7). Plot these points on a coordinate plane.
From the graph it is clear that the point are in the form of a straight line, so we need to use the linear regression model.
The general linear regression model is
Using technology we get
Put a=-2.19 and b=-8.92 in the above equation.
Therefore the linear regression model is .
Answer:
3.162 units
Step-by-step explanation:
First identify the points that undergo transformation
You have;
A = (0,0) and B =(1,3)
The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.
<u>Finding coordinates of the image points A' and B' </u>
A'= (0+2,0+1) = (2,1)
B'=(1+2, 3+1)=(3,4)
<u>Finding the distance A'B'</u>
The formula for distance d is
where
x₁=2
x₂=3
y₁=1
y₂=4
d=distance between two points
Applying the formula
The distance A'B' is √10 =3.162 units