Find the mean and standard deviation of the times and icicle lengths for the dat

Question

Find the mean and standard deviation of the times and icicle lengths for the data on run 8903 in data data371.dat. Find the correlation between the two variables. Use these five numbers to find the equation of the regression line for predicting length from time. Use the same five numbers to find the equation of the regression line for predicting the time an icicle has been growing from its length. (Round your answers to three decimal places.) times x = 95 times s = lengths x = lengths s = r = time =. + length length = + 0.17 time

Explanation / Answer

time    length 10 1.2 20 2.1 30 3.4 Mean(time)= 95 40 7.4 Mean(length)= 15.26667 50 7.1 sd(time)= 51.88127 60 9.7 sd(length)= 8.878 70 11.3 Correlation= 0.984822 80 10.4 90 15 100 15.4 110 21.4 120 19.1 130 18.9 140 24.2 150 27.6 160 25 170 27 180 28.6 Predicting length by time SUMMARY OUTPUT Regression Statistics Multiple R 0.984822 R Square 0.969875 Adjusted R Square 0.967992 Standard Error 1.634386 Observations 18 ANOVA df SS MS F Significance F Regression 1 1376.001 1376.001 515.1210589 1.35E-13 Residual 16 42.73948 2.671218 Total 17 1418.74 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -0.74314 0.803729 -0.92461 0.368903712 -2.44697 0.960693 -2.44697 0.960693 time    0.168524 0.007425 22.69628 1.35022E-13 0.152784 0.184265 0.152784 0.184265 Predicting time by length SUMMARY OUTPUT Regression Statistics Multiple R 0.984822 R Square 0.969875 Adjusted R Square 0.967992 Standard Error 9.551028 Observations 18 ANOVA df SS MS F Significance F Regression 1 46990.45 46990.45 515.1210589 1.35E-13 Residual 16 1459.554 91.22214 Total 17 48450 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 7.138705 4.478158 1.594116 0.130470581 -2.35457 16.63198 -2.35457 16.63198 length 5.755107 0.25357 22.69628 1.35022E-13 5.217561 6.292652 5.217561 6.292652

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.