Question

Use the regression capabilities of a graphing utility or a spreadsheet to find the least squares regression line for the given points. $$(-10,10),(-5,8),(3,6),(7,4),(5,0)$$

Short answer

Without the specific software, an exact answer cannot be given. In general, the output will be an equation of a line in the form of $y=mx+b$, where $m$ and $b$ are calculated values based on the least squares regression of the provided data points.

Step-by-step solution

Input Data

Begin by inputting the pairs of data points into a graphing tool or a spreadsheet software. Note that each pair of values corresponds to coordinates on a graph (X, Y).

Select Least Squares Regression

Once the data points are entered correctly, select an option within the software to perform a 'Least Squares Regression' or 'Linear Regression'. This command tells the software to generate a best-fit line that minimizes the distance between each data point and the line.

Compute Regression Line

After selecting the correct command, allow the software to calculate the equation of the least squares regression line. The output will be in the form of $y=mx+b$, where $m$ is the slope of the line and $b$ is the y-intercept.