Find the mean and standard deviation of the times and icicle lengths for the dat
ID: 3202439 • Letter: F
Question
Find the mean and standard deviation of the times and icicle lengths for the data on run 8903 in data data454.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
times x = 95 times s = 53.385 lengths x = 15.489 lengths s = 9.069 r = 0.988 time = --------------- +---------------- length length =-------------+ -------------- time
Find the mean and standard deviation of the times and icicle lengths for the data on run 8903 in data data454.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.)Explanation / Answer
Let, Y - Time, X- Length
b1 = r*(Sy/Sx) = 0.988*(53.385/9.069) = 5.815898
b0 = Y - b1X = 95 - 5.815898*15.489 = 4.917556
Regression equation
time = 4.918 + 5.816* length
.........................................................................................................
Let, X - Time, Y- Length
b1 = r*(Sy/Sx) = 0.988*(9.069/53.385) = 0.167841
b0 = Y - b1X = 15.489 - 0.167841*95 = -0.45589
Regression equation
length = -0.456 + 0.168* time
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