use a graphing calculator to find the equation of the line of best fit for the data in the table below. find…
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. let x represent the number of years after 1990.\n|year|1998|1999|2000|2001|2002|2003|2004|2005|2006|2007|\n|tickets sold (millions)|1282|1305|1327|1332|1357|1377|1402|1419|1444|1452|\nc. y = 1.127.81\nd. y = 19.35x - 1,127.81\nthe correlation coefficient r is 0.997 (round to three decimal places as needed.)\nthe predicted number of movie tickets sold in 24 is \n(round to the nearest whole number as needed.)
Answer
Explanation:
Step1: Identify x - value for 2014
Since x represents the number of years after 1990, for 2014, $x = 2014 - 1990=24$.
Step2: Use the equation of the line of best - fit
The equation of the line of best - fit is $y = 19.35x-1127.81$. Substitute $x = 24$ into the equation: $y=19.35\times24 - 1127.81$. First, calculate $19.35\times24$: $19.35\times24=(19 + 0.35)\times24=19\times24+0.35\times24=456 + 8.4 = 464.4$. Then, $y = 464.4-1127.81=-663.41$. But this is incorrect as we likely mis - read the equation. Let's assume the correct equation is $y = 19.35x + 1127.81$. Substitute $x = 24$: $y=19.35\times24+1127.81$. $19.35\times24 = 464.4$. $y=464.4 + 1127.81=1592.21\approx1592$.
Answer:
1592