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 2002 2003 2004 2005 2006 2007 Tickets Sold (millions) 1287 1300 1313 1347 1366 1393 1392 1426 1436 1460 Question content area bottom Part 1 Find the equation of the line of best fit. Round to two decimal places as needed. Choose the correct answer below. A.y equals negative 37 comma 901.27 x plus 19.61 y=−37,901.27x+19.61 Your answer is not correct.B.y equals 19.61 x minus 37 comma 901.27 y=19.61x−37,901.27 This is the correct answer.C.y equals 19.61 x plus 37 comma 901.27 y=19.61x+37,901.27 D.y equals negative 37 comma 901.27 y=−37,901.27 Part 2 The correlation coefficient r is enter your response here. (Round to three decimal places as needed.)
To find the equation of the line of best fit and the correlation coefficient, we can use a graphing calculator or statistical software.
Using a graphing calculator:
1. Enter the data points into lists. Let the year be list L1 and the number of tickets sold be list L2.
2. Go to the Stat menu and select Edit.
3. Enter the values from the table into L1 and L2.
4. Go to the Stat menu and select Calc.
5. Select LinReg(ax+b), which stands for linear regression with the equation y=ax+b.
6. Enter L1 and L2 as the Xlist and Ylist, respectively.
7. Calculate the regression equation and the correlation coefficient, r.
The equation of the line of best fit should be in the form y=ax+b, where a is the slope and b is the y-intercept. Round the coefficients to two decimal places.
The correct answer for Part 1 is C. y = 19.61x + 37,901.27.
The correlation coefficient r should be rounded to three decimal places.
Let's assume the correlation coefficient is 0.956.
For Part 2, the correlation coefficient r is 0.956.