Problem 16 - College Algebra and Calculus: An Applied Approach

Question

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

Step-by-Step Solution

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 1: Identification of Data Points

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

Step 2: 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.

Step 3: 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).

Step 4: 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.