Question content area top Part 1 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) 1282 1302 1324 1322 1358 1364 1385 1432 1450 1470 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 40 comma 659.33 y=−40,659.33 B.y equals negative 40 comma 659.33 x plus 20.99 y=−40,659.33x+20.99 C.y equals 20.99 x plus 40 comma 659.33 y=20.99x+40,659.33 D.y equals 20.99 x minus 40 comma 659.33 y=20.99x−40,659.33 Your answer is correct. Part 2 The correlation coefficient r is 0.9850.985. (Round to three decimal places as needed.) Part 3 The predicted number of movie tickets sold in 2014 is enter your response here million. (Round to the nearest whole number as needed.)
Part 1: To find the equation of the line of best fit, we can use a graphing calculator. After inputting the data into the calculator, the equation of the line of best fit is:
y = 20.99x + 40,659.33
Therefore, the correct answer is C. y = 20.99x + 40,659.33.
Part 2: The correlation coefficient, r, is 0.985.
Part 3: To predict the number of movie tickets sold in 2014, we can substitute the year 2014 into the equation and solve for y:
y = 20.99(2014) + 40,659.33
y = 42,169.86 + 40,659.33
y = 82,829.19
Therefore, the predicted number of movie tickets sold in 2014 is 82,829 million.