a. An equation of the line of best fit is y = -2.45x + 11.83.
b. By using the equation, an estimate for y when x is 2.3 is 6.195.
c. The estimated value is approximately equal to the actual value from the table when x is 2.3.
Part a.
In this exercise, we would plot the x-values on the x-coordinates of a scatter plot while the y-values would be plotted on the y-coordinate of the scatter plot through the use of Microsoft Excel.
On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display a linear equation for the line of best fit on the scatter plot.
Based on the scatter plot shown below, which models the relationship between the x-values and the y-values, a linear equation for the line of best fit is as follows:
y = -2.45x + 11.83
Part b.
An estimate for y when x is 2.3 can be calculated as follows;
y = -2.45(2.3) + 11.83
y = 6.195.
Part c.
In this context, we can logically deduce that the estimated value is approximately equal to the actual value from the table when x is 2.3.
Complete Question:
Technology required.
x y
2.3 6.2
2.8 5.7
3.1 4.7
3 3.2
3.5 3
3.8 2.8
a. What is the equation of the line of best fit? Round numbers to 2 decimal places.
b. What does the equation estimate for y when x is 2.3? Round to 3 decimal places.
c. How does the estimated value compare to the actual value from the table when x is 2.3?