Using the data given in the table below, answer the following questions. (Round

Question

Using the data given in the table below, answer the following questions. (Round your final answers to 3 decimal places.) Order Size and Shipping Cost (n = 12 Orders (X 1,084 1,078 753 866 1,190 1,127 836 917 Ship Cost (Y) 4,491 5,648 3,190 4,327 4,852 5,428 4,492 5,526 3,386 3,697 6,668 5,008 643 1,135 1,032 he ata (a) Use Excel, MegaStat, or MINITAB to calculate the correlation coefficient rcalc (b) Use Excel or Appendix D to find t025 for a two-tailed test at a = 0.0 t.025 (c) Calculate the ttest statistic lc

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = 539.25407 + 4.3822025 x
Sample size: 12
R (correlation coefficient) = 0.76190518
R-sq = 0.5804995
Estimate of error standard deviation: 689.49396

Parameter estimates:

Analysis of variance table for regression model:

Hence,

a) rcalc = 0.762

b) t0.025 = + 2.634

c) tcalc = 3.720

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 539.25407 1142.9771 0 10 0.47179779 0.6472 Slope 4.3822025 1.1780338 0 10 3.7199293 0.004

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