Some types of algae have the potential to cause damage to river ecosystems. suppose the accompanying data on algae colony density (y) and rock surface area (x) for nine rivers is a subset of data that appeared in a scatterplot in a research paper in a scientific journal.
x 50 55 50 79 44 37 70 45 49
y 152 48 22 35 43 171 13 185 25
(a) compute the equation of the least-squares regression line. (round your numerical values to five decimal places.)

The equation of the regression line is:

Step-by-step explanation:

The Least Squares Regression Line is the line that makes the vertical distance from the data points to the regression line as small as possible. It’s called a “least squares” because the best line of fit is one that minimizes the variance.

We have the following data:

To find the line of best fit for the points:

Step 1: Find and as it was done in the table

Step 2: Find the sum of every column:

Step 3: Use the following equations to find a and b:

Step 4: Assemble the equation of a line

The graph of the regression line is:

you need to show the graph

step-by-step explanation:

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation: