US coal consumption 1950-2014 Does the R 2 indicate correlation between your var

Question

US coal consumption 1950-2014

Does the R2 indicate correlation between your variables?

Interpret the slope in a complete sentence.

Use the trend line equation to estimate the coal consumption for 2014, and compare this estimate to the actual consumption.
  

Use the trend line to estimate the coal consumption from your birth year. Compare that estimate to the actual 2014. How much has coal consumption changed since your birth year? What is the relative change in coal consumption since your birth year?

I 6can't get my computer to upload a picture of my scattor plot so i will provide information from the scattor plot
y=5.3946x-10289
R2=0.8316
i was also born in the year of "1991"
If anybody could help me with this assignment Please!

1950 311 1951 316 1952 285 1953 287 1954 245 1955 281 1956 286 1957 273 1958 240 1959 240 1960 248 1961 243 1962 250 1963 262 1964 276 1965 292 1966 306 1967 300 1968 311 1969 312 1970 309 1971 292 1972 304 1973 327 1974 319 1975 319 1976 342 1977 351 1978 347 1979 379 1980 389 1981 401 1982 386 1983 401 1984 430 1985 440 1986 435 1987 454 1988 475 1989 481 1990 483 1991 479 1992 482 1993 500 1994 502 1995 506 1996 529 1997 540 1998 546 1999 545 2000 569 2001 552 2002 552 2003 562 2004 566 2005 574 2006 566 2007 573 2008 564 2009 496 2010 525 2011 495 2012 438 2013 456 2014 455

Explanation / Answer

All interpretation out of the output above:

The Rsquare of .83 means that the relationship between year and coal consumption is high. Taknig the root of Rsqaure we get correlation as .91, which means a strong ( positive) relationship exists between time and consumption.

The slope says that the per increase in the year there is a 5.39 increase in the coal consumption.

In 2014, projected = 5.3946*2014-10289 = 575.72
Actual = 455. So projected/estimated is 575.72-455 = 120.72

Your birth in 1991 , coal consumption was 479. In 2014 it is 455. So coal consumption has reduced by 479-455= 34. Also, relative chnage is 455/479 = .95 or 95% of the consumption in 1991 is being consumed in 2014

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