Which is the better definition of line of best fit?
2 answers:
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Answer:
Initial amount;
2110.6
Common ratio;
0.0201
Equation;
Step-by-step explanation:
In this scenario, the month represents the independent variable x while the membership amount represents the dependent variable y.
The analysis is performed in Ms. Excel. The first step is to obtain a scatter plot of the data then finally inserting an exponential trend line to obtain the required equation.
The Ms. Excel output is shown in the attachment below. To obtain the initial amount we substitute x = 0 in the equation. On the other hand, the common ratio is the exponent in the equation.
Slope intercept form: y = mx + b
Where m = slope and b = y-intercept.
By looking at the graph, we can see that the line cuts at 1/2 on the y-axis, therefore eliminating option D.
So now we have: y = mx + 1/2
Next, we'll find the slope.
Plug the coordinates into the formula.
So our slope is 5/8 and the y-intercept is 1/2.
Option A is the answer.
Where m = slope and b = y-intercept.
By looking at the graph, we can see that the line cuts at 1/2 on the y-axis, therefore eliminating option D.
So now we have: y = mx + 1/2
Next, we'll find the slope.
Plug the coordinates into the formula.
So our slope is 5/8 and the y-intercept is 1/2.
Option A is the answer.
Answer: y = 4x-3
slope = 4, y intercept = -3
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m = 4 is the slope
is the point the line goes through
Using point slope form, we can say,
The equation is in slope intercept form y = mx+b
m = 4 = slope
b = -3 = y intercept
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As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b
y = mx+b
-11 = 4(-2)+b
-11 = -8+b
-11+8 = -8+b+8
-3 = b
b = -3 we get the same y intercept value as above
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To check the answer, plug x = -2 into the equation. We should get y = -11
y = 4x-3
y = 4(-2)-3
y = -8-3
y = -11 we get the proper y value. The answer is confirmed.