Question

Please solve on paper advanced statistic using R

Please summarize the SPSS output below. What else do you need to know before relying on the results? (25 pts) 3- Model Summary Adjuste Std. Error of Model R Square R Square the Estimate 699a 489 479 a. Predictors: (Constant, reading score, female, social studies score, math score Coefficients Unstandardized Standardze oeffcentsCcients 35% Cortoerce imeni for B Model 8 624 535 5 061070 3859 0 12325 I 3194 389 07 2010 02310 6027 243 68 5252 000 a score emale ocial studies scO eading score 050062 05401424 073 35073 446000012 Dependent Varable scence scon

Answer 1

As per the given results model can be written as

y = 12.325 + 0.389*math score - 2.010 female + 0.050 social studies score + 0.335 * reading score.

where y is the dependent variable.

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 0.389 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 0.335 units.

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