Data Set: The linked data set (https://www.statcrunch.com/app/index.php? dataid

Question

Data Set:
The linked data set (https://www.statcrunch.com/app/index.php? dataid 2273450&tmydata-true;) and the scatter plot below shows the number of seniors who graduated from a small college, though data was not available for all years. How might we use the data (or parts of the data given) to estimate the size of the class in 1969? Explain your reasoning, write your regression equation using the equation editor, then use that equation to estimate the size of the class in 1969, again using the equation editor. Please use StatCrunch to come up with the equation. Number Graduated 600 500 400 300 200 100 1940 1950 1960 1970 1980 19 2000 2010 Keep in mind that you should be using the equation editor to write your equation and using your variable names. To find the "hat", navigate to the 7th tab as shown below

Explanation / Answer

here we used linear regression y=a+bt=320.33+2.90*t , with1950 is base year(t=1) with following informaion

for year 1969, t=20 and y=320.33+2.90*20=378.33 ( nearest whole number=378)

following regression analysis has been done using ms-excel

year t graduate (y) 1950 1 203 1953 4 211 1957 8 288 1960 11 319 1962 13 381 1965 16 446 1968 19 439 1970 21 521 1972 23 509 1976 27 527 1980 31 476 1984 35 413 1987 38 399 1989 40 362 1992 43 379 1994 45 413 1996 47 437 1998 49 426 2000 51 451

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