Question

Find the mean and standard deviation of the times and icicle lengths for the data on run 8903 in data data93.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.) ATTACHED BELOW IS THE DATA SET

time    length
10      .9
20      2.7
30      4.9
40      6.5
50      6.8
60      7.5
70      8.9
80      11.2
90      13.5
100     15.4
110     15
120     19.7
130     20.4
140     23
150     24.8
160     27.1
170     28
180     30.1

Answer 1

Let x=time

y= icicle lengths

The sample means are

the sample standard deviations are

The covariance between X and Y is

The correlation between X,Y is

The equation of the regression line for predicting length from time that we want to estimate is

The estimated value of the slope is

The estimated value of the intercept is

ans: the equation of the regression line for predicting length from time. is

or

the equation of the regression line for predicting the time an icicle has been growing from its length that we want to estimate is

The estimated value of the slope is

The estimated value of the intercept is

ans: the equation of the regression line for predicting the time an icicle has been growing from its length is

or