Coefficients for Output A Standardized Coefficients Coefficients Model Constant)

Question

Coefficients for Output A Standardized Coefficients Coefficients Model Constant) 2 (Constant x-square 2.548 1.100 2.9473.025 1.018 634 885 8.061 974 8191.872 156 1.559 136 120 .000 544 078 878 a De Variable: y (a) Given output A (above), is the regression line for the regression of Yon X straight? Justify your answer. (10 points) Coefficients for Output B Standardized Coefficients Model 7.240 11.500 5.300 Constant) 2 (Constant) 3 (Constant) 1.588 2.246 1.607 4761.430 163 486 2.360 124 743 1.619 044 6576303 1.072 2.567 2.411 3.764 270 345 1.065 146 3.991 021 050 548 1.076 grp 001 009 a Dependent Variable: y

Explanation / Answer

For Output (A) we notice the significance values for the different coefficients

If we consider testing for the coefficients of the variables at 5% level of significance,

we find that the p-value for the coefficient of x2 = 0.878 > 0.05 ; hence we fail to reject the null

for the coefficient of x2 , which is ( the coefficient is equal to zero) .

As the quadratic term in the regression vanishes at a test of 5% los, we can conclude that regression equation for Y on X is straight.

[ if you have any questions regarding output B, please let me know in the comments]

Coeffcient Significance Constant 0.344 x 0.078 x^2 0.878

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