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A collection of observations of a variable y taken at regular intervals over time is called a time series. Think of a time series as

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A collection of observations of a variable y taken at regular intervals over time is called a time series. Think of a time series as providing data points xi, yi?, where xi is the ith observation time and yi is the observed value of y at time xi. If a time series exhibits a linear?trend, that trend can be found by determining the regression equation for the data points. The regression equation can then be use for forecasting purposes. As an?illustration, consider the accompanying data that shows the U.S.?population, in millions of?persons, for some of the years between 1990 and?2013, inclusive. Complete parts?(a) through?(c) below.

Help me with B and C

b. Use technology to find the regression equation.

y= + ( )x ?

?(Round to three decimal places as?needed.)

c.Use the result from part? (b) to forecast the U.S. population for the years 2014 and 2015.

The forecast for the U.S. population in 2014 is _____ million people. (Round to one decimal place as? needed.)

The forecast for the U.S. population in 2015 is _____ million people. (Round to one decimal place as? needed.)

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i Population Data X Year Population 1990 250 1991 253 1992 257 1993 260 1994 263 1995 266 1996 269 1997 273 1999 279 2000 282 2001 285 2002 288 2003 290 2004 293 2006 299 2007 301 2008 304 2009 307 2010 309 2011 312 2012 314 2013 316 Print DoneA collection of observations of a variable y taken at regular intervals over time is called a time series. Think of a time series as providing data points (x;, y; ) , where x; is the ith observation time and y; is the observed value of y at time x;. If a time series exhibits a linear trend, that trend can be found by determining the regression Click the icon to view the population data equation for the data points. The regression equation can then be use for forecasting purposes. As an illustration, consider the accompanying data that shows the U.S. population, in millions of persons, for some of the years between 1990 and 2013, inclusive. Complete parts (a) through (c) below a. Use technology to obtain a scatterplot of the data. Choose the correct graph below. OA. O B. A Population 320- O C. A Population 320- Q A Population 320 Q A Population 320- Q 1990 2013 Year 1990 2013 Year 250 MITTMITT>> 1990 b. Use technology to find the regression equation. 2013 Year 1990 2013 y = [+(0)x Year (Round to three decimal places as needed.)

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