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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.


1998 1999 2000 2001 2002 2003 2004 2005 2006 2007

1287 1307 1318 1337 1371 1392 1399 1414 1453 1455

1 Answer

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To find the equation of the line of best fit and the value of correlation coefficient r, we can use a graphing calculator. The equation of the line of best fit is ŷ = -355.19 + 7.39x and the correlation coefficient is r = 0.9121. To predict the number of movie tickets sold in 2014, substitute x = 24 into the equation and solve for ŷ. The predicted number of movie tickets sold in 2014 would be approximately 177 tickets.

To find the equation of the line of best fit and the value of correlation coefficient r, we can use a graphing calculator. Using the given data points, we can input them into the calculator and perform linear regression. The equation of the line of best fit is ŷ = -355.19 + 7.39x and the correlation coefficient is r = 0.9121.

To predict the number of movie tickets sold in 2014 (x = 24), we can substitute the value of x into the equation and solve for ŷ. So, ŷ = -355.19 + 7.39(24) = 177.45. Therefore, the predicted number of movie tickets sold in 2014 would be approximately 177 tickets.

Use a graphing calculator to find the equation of the line of best fit for the data-example-1
User Dmitry Gordon
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