Question

Advanced statistic using R please solve on paper

Please summarize the SPSS output below. What else do you need to know before relying on the results? (25 pts) 3- Model Summary Adjusted Std. Error of R Square RSquare the Estimate .14817 Model 699- 489 479 a Predictors: (Constant, reading score, female, social studies score, math score Cocent oeicierts 368 | 5252 | 000 241 525 309 074 10 1 023101051402 17) 47 35 073 47 4 6070

Answer 1

As per the given results model can be written as

y = 12.325 + 389*math score - 2.010 female + 0.050 social studies score + 335 * reading score.

And R-square = 0.489

The model explains the 48.9% variability between the data.

Dependent variable is not given in the question, hence we have to check for the dependent variable for explaining the constants and coefficients of the model.

i) With increase in 1 unit of math score the dependent variable increases by 389 units

ii) the female has a negative effect on the dependent variable. If it is number of females then increasing in 1 unit of female reduces the dependent variable by 2.01 units

iii) With increase in 1 unit of social studies score the dependent variable increases by 0.050 units which is negligible.we may consider there is no effect of social studies score on the dependent variable.

iv) With increase in 1 unit of reading score the dependent variable increases by 335 units.

v) The meaning of constant can only be drawn by knowing the type of dependent variable.