Question

# Mid Score Final Score 80 78 87 85 72 81 69 54 86 70 83 73...

 Mid Score Final Score 80 78 87 85 72 81 69 54 86 70 83 73 78 89 75 84 74 86 75 79 84 75 73 63 74 72 73 69 80 86 75 78 72 75 77 68 76 77 66 78 74 77 71 73 85 79 74 74 76 79 76 73 84 72 77 81 78 86 86 76 81 83 78 83 85 86 73 71 83 83 83 79 72 68 83 90 84 89 73 83 86 81 76 79 58 58 73 77 81 85 72 67 77 70 82 79 64 59 79 74 79 86 82 85 75 79 78 81 58 31 80 82 68 70 73 69

Y= 1.014 X + -1.557

R2 0.4299

e) Calculate the degrees of freedom and t-critical for a two-tailed t test for zero slope at α = .05. (Round your answers to 2 decimal places.)

Degrees of Freedom ____________ <----- Need this number

t - critical ± 2

e). The degrees of freedom =56

Thet-critical for a two-tailed t test for zero slope at α = .05. is 2.0032.

(The degrees of freedoms for the t-test is the same df as that of Error SS in Regression ANOVA given below:

 ANOVA df SS MS F Significance F Regression 1 2385.545 2385.545 42.22124 2.33E-08 Residual 56 3164.059 56.50105 Total 57 5549.603 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -1.55681 12.00042 -0.12973 0.897245 -25.5965 22.48292 -25.5965 22.48292 Mid 1.013787 0.15602 6.497788 2.33E-08 0.70124 1.326333 0.70124 1.326333

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