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 data181.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.)

Time is the first number followed by the length, you may need to put this in a chart to organize it.

time length 10 2 20 4.8 30 2.9 40 5.7 50 7.5 60 10 70 10.8 80 13.5 90 13.8 100 14.8 110 19.1 120 18.7 130 20.4 140 22.9 150 24.9 160 25.4 170 28.1 180 28.8

times x = ____ times s = ____ lengths x = ____ lengths s = ____ r = ____ time = ____    + ____    length length = ____    + ____    time

Explanation / Answer

1) Descriptive Statistics
N Sum Mean   Std. Deviation
Times   18   1710.00   95.0000   53.38539
Lengths 18   274.10 15.2278   8.73773

Times of Mean (x-) = 95

Times of Stadard deviation (s) = 53.385

Lengths of Mean (x-) = 15.227

Lengths of Standard deviation (s) = 8.738

2) Correlations
Times   Lengths
Times   Pearson Correlation   1   .995**
Sig. (2-tailed)       .000
N 18   18
Lengths   Pearson Correlation   .995**   1
Sig. (2-tailed)   .000  
N 18   18
The correlation coefficient between times and lengths is 0.995

3) Coefficients(a)
Unstandardized Coefficients       Standardized Coefficients
Model B   Std. Error Beta t Sig.
1   (Constant) 2.460   2.752 .894 .385
   Lengths 6.077   .158 .995 38.505   .000
a. Dependent Variable: Times

the regression line of times on lengths is

time = 2.460 + 6.077 length

4) Coefficients(a)
Unstandardized Coefficients       Standardized Coefficients
Model B   Std. Error Beta t Sig.
1   (Constant) -.238   .458 -.520 .610
   Times .163   .004 .995 38.505   .000
a. Dependent Variable: Lengths

the regression line of lengh on time is

length = -0.238 +0.163 time

  

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