Question

Which is a way to find the equation of a line that best fits this data?

A scatter plot has average temperature (degrees Fahrenheit) on the x-axis, and heating bill (dollars) on the y-axis. Point A is around (26, 83), B (38, 86), C (42, 74), D (44, 75), E (49, 66). Other points are at (38, 94) and (42, 79). CLEAR CHECK

Use the coordinates of points B
and D
to find the slope and then the equation of the line that passes through them. Draw a line through the origin and point E. Find the slope, m
, and write the equation in the form y=mx. Use the coordinates of points A
and C
to find the slope and then the y
-intercept of the equation that passes through them. It does not make sense to use algebraic equations on a scatter plot

Answer 1

To find the equation of a line that best fits the given data, use least-squares regression method.

Step-by-step explanation:

To find the equation of a line that best fits the given data, we can use the method of least-squares regression. Here are the steps:

1. Plot the given points on a scatter plot.
2. Draw a line that appears to best fit the data points.
3. Calculate the slope (m) and y-intercept (b) of the line using the least-squares regression formula.
4. Write the equation of the line in the form y=mx+b.

Using this method, you can find the equation of the line that best represents the relationship between the average temperature and the heating bill in the given data.