linearreg_ht_slo(A)

Performs a linear regression analysis using samples X and Y and then performs a hypothesis test for the slope of the regression line using significance level alpha.


See also linearreg linearreg_ht_nor linearreg_ci_slo 


Example


X=(3, 4, 6, 6, 7, 8)

( 3 4 6 6 7 8 )

Y=(4, 5, 6, 6, 7, 8)

( 4 5 6 6 7 8 )


linearreg_ht_slo(X, Y, .05)


Linear Regression

Hypothesis test for slope of regression line (utility of regression).

Ho : beta1==0 

Ha : beta1!=0.

Significance level : 0.05 (5.0%)

Results:

Test statistics T : 12.48999599679666

Critical left value : -2.776445105196957

Critical right value : 2.776445105196956

P value : 2.363560570928724E-4

Reject the null hypothesis.