Question

An Olympic swimmer competes in the same events during each long course swim season. A swimmer currently competing on the United States Women’s Olympic Swim Team, will swim her best events each year with the hope of continuous improvement. The following table is a record of the swimmer’s best times for the 100 meter freestyle event, measured in long course meters.
Long Course
Season Recorded
Best Time
2005 2:33.42
2006 2:24.81
2007 2:10.93
2008 2:03.45
2009 1:58.67
2010 1:59.17
2011 1:55.06
2012 1:55.82
2013 1:54.81
2014 2:00.03
Create a scatter plot representing the data displayed in the table.
Use the scatter plot to determine whether there is positive, negative or no correlation between the data values.
Write a conclusion statement regarding the data and the rate of change present in the line of best fit. Do not actually calculate the slope or write the equation for the line of best fit.

Answer 1

Answer: Equation for the line of best fit is given by

f(x)=-4.28402x+0.0875

Step-by-step explanation:

Long Course Season       Recorded Best time

2005                          2:33.42

2006                          2:24.81

2007                          2:10.93

2008                          2:03.45

2009                          1:58.67

2010                          1:59.17

2011                          1:55.06

2012                          1:55.82

2013                          1:54.81

2014                          2:00.03

Since we can see from the scatter plot that it has negative correlation.

Equation for the line of best fit is given by

f(x)=-4.28402x+0.0875

Answer 2

I don't know if you still need this but here you go