In: Statistics and Probability
The following data set provides information on acres harvested and planted by year and value in the US. Year ASPARAGUS - ACRES HARVESTED ASPARAGUS - ACRES PLANTED 2015 21,700 23,500 2014 23,800 25,800 2013 24,500 26,800 2012 25,300 27,800 2011 26,800 28,400 2010 28,000 29,200 2009 29,200 30,700 2008 32,200 33,700 2007 38,600 40,900 2006 43,200 44,700 2005 49,300 51,700 2004 61,500 66,000 2003 58,000 62,000 2002 66,000 70,500 2001 70,150 75,150 2000 77,400 82,800 1999 75,890 79,590 1998 74,430 From the data set, use the planting data for the United States for recent years. Using a calculator or statistical software, find the equation for the linear regression line for 2010 to 2015. What is the y-intercept?
r² | 0.941 | |||||
r | -0.970 | |||||
Std. Error | 559.634 | |||||
n | 6 | |||||
k | 1 | |||||
Dep. Var. | y | |||||
ANOVA table | ||||||
Source | SS | df | MS | F | p-value | |
Regression | 1,98,75,571.4286 | 1 | 1,98,75,571.4286 | 63.46 | .0013 | |
Residual | 12,52,761.9048 | 4 | 3,13,190.4762 | |||
Total | 2,11,28,333.3333 | 5 | ||||
Regression output | confidence interval | |||||
variables | coefficients | std. error | t (df=4) | p-value | 95% lower | 95% upper |
Intercept | 21,71,666.6667 | |||||
x | -1,065.7143 | 133.7782 | -7.966 | .0013 | -1,437.1420 | -694.2865 |
The y-intercept = 21,71,666.6667 or 30,646.6667