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2 answers:
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Answer:
A. It's the amount of change in y when x increases by one unit
Step-by-step explanation:
For this case we have the following linear model adjusted:
Where y is the dependent variable, x the independent variable, 36.5 represent the intercept and 0.48 the slope.
We can analyze one by one the options to select the most appropiate.
A. It's the amount of change in y when x increases by one unit
True, for this case the slope is defined as:
And is defined as the amount of change in y when x increase 1 unit.
B. It's the value of y when x = 0
False the value of y when x=0 is y= 36.5+0.48(0) = 36.5
C. It's the value of x when y = 0
False, when y=0 we have this:
D. It's the mean of the distribution for the response variable (y) around the explanatory variable (x)
False, the value 0.48 represent the slope obtained from an estimation of least squares and not represent the mean for the response variable y.
E. It's the amount of change in x when y increases by one unit.
False, is defined inverse as: the amount of change in y when x increase 1 unit.
The vertices of the original quadrilateral can be written in matrix form using the vertex matrix. The vertex matrix is
To find the coordinates of the endpoints or vertices of the image of the given coordinate points reflected about the y-axis, we just need to multiply the transformation matrix by the vertex matrix. The transformation matrix for this particular problem is
Multiplying the two matrices, we have
Therefore, the coordinates of the endpoints or vertices of the image are (5,4), (1,-1), (3, -6) and (7, -3).
To find the coordinates of the endpoints or vertices of the image of the given coordinate points reflected about the y-axis, we just need to multiply the transformation matrix by the vertex matrix. The transformation matrix for this particular problem is
Multiplying the two matrices, we have
Therefore, the coordinates of the endpoints or vertices of the image are (5,4), (1,-1), (3, -6) and (7, -3).