Find the least squares regression line for the last four


Assignment

Using the energy production data given below

Year

1950

1960

1970

1980

1990

2000

Production (in Quads)

35.6

42.8

63.5

67.2

70.7

71.2

(a) Plot the data using a graphing calculator and explain why it does not appear to be linear.

(b) Discuss with your classmates why ignoring the first two data points may be justified from a historical perspective.

(c) Find the least squares regression line for the last four data points and comment on the goodness of fit. Interpret the slope of the line of best fit.

(d) Use the regression line to predict the annual US energy production in the year 2010.

(e) Use the regression line to predict when the annual US energy production will reach 100 Quads.

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Algebra: Find the least squares regression line for the last four
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