166k views
0 votes
Given the following data points, calculate the curve of best fit. Show all steps.

X | -2 -1 0 1 2
Y | 21 8.6 1 1 3 5 4 14.3
a. y = 2.5x + 6
b. y = 3x + 5
c. y = 1.5x + 4
d. y = 4x + 3

User Zdenek
by
7.1k points

1 Answer

4 votes

Final answer:

To find the curve of best fit, a scatter plot and the least-squares regression function are used to determine the equation of the line that best fits the given data, with the slope and y-intercept calculated and applied in the formula y=mx+b.

Step-by-step explanation:

To calculate the curve of best fit for the given data points, a scatter plot should be created which helps in visualizing the relationship between X and Y values. Then, using a graphing calculator or statistical software, the least-squares regression function can be deployed to find the equation of the line that best fits the data. This involves calculating the line that minimizes the sum of the squares of the vertical distances of the points from the line. Among the options given, without the actual data points calculation, we can't definitively identify the correct one. However, the regression function would normally provide the slope (m) and the y-intercept (b) of the line, which can be substituted into the formula y=mx+b to obtain the final equation of the curve of best fit.

User David Crow
by
8.1k points