the state of tennessee carried out an education experiment in 1985. Kindergarten
ID: 3159572 • Letter: T
Question
the state of tennessee carried out an education experiment in 1985. Kindergarten students were assigned to be in either small classes (about 15 students) or regular classes (about 25 students). At the end of the year achievement tests were given.
Interperet the coefficient SMALL. Is this coeffiecient statistically significant? what are the economic implications of this result?
The state of Tennessee carried out an education experiment in 1985. Kindergarten students were assigned to be in either small classes (with about 15 students) or regular classes (25 students). At the end of the year achievement tests were given. The result of the math test and summary statistics are given below. The variables are TCHEXPER MATHSCORE BOY BLACK SCHRURAL teacher years of experience 1 if male student. =0 for female 1 if school rural; =0 otherwise = math score 0 =1 if student black, =0 otherwise = 1 if student in small class; =0 if student In regular class MATHSCORE TCHEXPER 485.6511 9.306452 0.513874 484.0000 320.0000 0.474406 0.000000 0.000000 27.00000 0.000000 5.767684 0.000000 0.458915 0.865498 0.000000 0.499851 -0.055519 1.003082 0.000000 Std. Dev 0.467306 0.761620 1.580066 2.792754 1.012050 1095.8130 961.0023 236.5480 0.000000 177.5105 0.000000 1041.838 0.000000 961.0349 0.000000 1857.000 2800264 13136858 53661.00 191779.5 1214.128 1440.390 1258.934 1437.170 5766 5766 5766 Dependent Variable: MATHSCORE Method: Least Squares Sample: 1 5786 Included observations: 5766 Coefficient Std. Error -Statistic Prob. 273.6730 0.0000 489.6221 1 0.660928 0.106983 6.177874 0.0000 8.150984 1.336339 6.09948 0.0000 7.837739 1.226697 -6.389305 0.0000 19.68367 -4.680267 1.451130 -3.225256 0.0013 1.556497 - 12.64613 0.0000 SCHRURAL 0.051449 Mean dependent var 0.050626 S.D. dependent var 46.51198 Akaike info criterion 12460977 Schwarz criterion -30318.37 Hannan-Quinn criter 62.48428 Durbin-Watson stat 485.6511 47.73601 S.E. of regression Prob(F-statistic)Explanation / Answer
Small ---regression coefficient is 8.150984.
interpretation: one unit change in small coefficient math score will be increased by 8.150984 units.
positive coefficient means there was positive change in mathscore if the student was in regular class.
The probability value small regression coefficient was 0.0000
i.e p=0.000<0.001 means SMALL , was the factor which highly independent significantly associted factor with mathscore. Whic was statisticall highly significant
economic implications:
if the students are regularly attending to the classes then definitely they will get good score in their examinations.
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