Discussion Question 4: The Regression Equation The technique of Linear Regression was invented by Sir Francis Galton, halfcousin to the famed naturalist Charles Darwin. He was comparing the size of the seeds of sweet pea plants to the size of the seeds of their parent plants and wanted to nd a mathematical relationship between the seed sizes from one generation to the next. In this Discussion Question we will use the same scenario as in the previous question and attempt to nd a mathematical formula that will allow us to predict the average daily sales of a restaurant in our franchise given the number of competitors within one mile of our restaurant. Number of Competitors within 1 mile (3:) Average daily sales (in thousands) (y) 1 4.0 3.3 3.1 2.5 2.5 2.8 2.0 causal- CJ'IOTI-lk Let's work on this as a group. Check to see which parts have been answered and answer the next part on the list. The leastsquares regression line is a linear equation y = a + bx. 1. Calculate the slope b = r - E: 2. Calculate the intercept a = g bis. 3. Use the results of the rst two parts to write the leastsquares regression line for our data set. 4. Use a statistical applet, calculator, online tool, or other technological resource to nd the regression line. State which tool you used and write all the decimal places you were able to nd. More than one person may respond to this part as long as you use a different tool to nd the regression line from the others who have already responded