Use a graphing calculator to find the equation of the line of best fit for the data in the table below. Find the value of the correlation coefficient r. Then predict the number of movie tickets sold in 2014
Year 1998 1999 2000 2001 2003 2004 2005 2006 2007
Tickets Sold (millions) 1289 1308 1314 1359 1362 1393 1425 1452 1477
Find the equation of the line of best fit. Round to two decimal places as needed. Choose the correct answer below.
y = 20.95x - 40, 575.91
The correlation coefficient r is 0.994.
(Round to three decimal places as needed.)
The predicted number of movie tickets sold in 2014 is ___ million. (Round to the nearest whole number as needed.)
To find the equation of the line of best fit and the correlation coefficient, we can use a graphing calculator. Steps are as follows:
1. Enter the data into the calculator and create a scatterplot.
2. Use the regression feature on the calculator to find the equation of the line of best fit. The equation will be in the form y = mx + b, where m is the slope and b is the y-intercept.
3. The calculator will also provide the correlation coefficient r.
Using a graphing calculator, the equation of the line of best fit is y = 20.95x - 40, 575.91 (rounded to two decimal places).
The correlation coefficient r is 0.994 (rounded to three decimal places).
To predict the number of movie tickets sold in 2014, we need to substitute x = 2014 into the equation of the line of best fit and solve for y.
y = 20.95(2014) - 40, 575.91
y ≈ 42124.3
So, the predicted number of movie tickets sold in 2014 is 42,124 million (rounded to the nearest whole number).