Question

Use the regression capabilities of a graphing utility or a spreadsheet to find the least squares regression line for the given points. $$(1,0),(3,3),(5,6)$$

Short answer

The specific output will depend on the software used, so there isn't a specific 'correct' answer. The least squares regression line will be in the form $y=mx+b$, where $m$ and $b$ are calculated by the software.

Step-by-step solution

Identification of Data Points

Firstly, identify the data points which are (1,0),(3,3),(5,6).

Input Data Points into Software

Secondly, enter these points into the desired software. In a spreadsheet, this would typically involve creating two columns - one for the x-values and one for the y-values.

Perform Regression Analysis

Thirdly, use the software to perform a regression analysis. In a spreadsheet, look for a function like 'LINEST' (in Excel) or 'LINEAR REGRESSION' (in Google Sheets).

Interpret the Output

Finally, interpret the output. The software will provide you with an equation in the form $y=mx+b$, where $m$ is the slope of the line and $b$ is the y-intercept.