We are trying to determine the weight of athletes from their height. we observe the size X (in centimeters -cm) and the weight Y (in kilograms -kg) of 38 athletes. The following results are obtained:

For the height: an average x = 183 cm with a corrected standard deviation sx = 8 cm

For the weight: an average y = 70 kg with a corrected standard deviation sy = 3 kg

The corrected covariance is sxy = 15.6.

Determine the coefficient b1, slope of the regression line Y = b0 + b1X, and estimate the standard deviation of b1.