Answer:
Step-by-step explanation:
Given
Regression Equation:
Required
Determine the slope of the regression line
The equation of regression is of the form
Where b represents the slope;
Compare to the given equation
We have that:
Hence; the slope is:
The equation of the line of the graph would be, y = 5/3x.
The graph of the line is shown in the diagram attached below.
<h3>What is a Proportional Relationship Graph?</h3>A proportional relationship is usually defined and expressed as the equation, y = kx, where:
x and y are the two variables that are in a proportional relationship with one another
k is the constant of proportionality or unit rate of change.
The unit rate of change is also the slope of the line that represents the proportional relationship graph, and passes through the point of origin, (0, 0).
Given that the line that represents a proportional relationship between x and y is where the unit rate of change is given as 5/3, the equation of the line of the graph would be, y = 5/3x.
The graph of the line is shown in the diagram attached below.
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