1.1)[ 20 points]. Apply a multiplicative adjustment of speed on age and an additive adjustment of height on age in recognition that the age of the horse affect both traits. a) Multiplicative adjustment: horses are 1km/ hour faster for every year older beyond 2 years. The speed phenotypes must be adjusted to the 2-year-old baseline. b) Additive adjustment: horses 4 years old and older are 1 inch taller than younger horses. The height phenotypes must be adjusted to the younger horse baseline. Compute the adjusted speed and height phenotypes for each horse and add them to the table. All answers must be computed manully (you are welcome to confirm your manual calculations using Excel, R, SAS or other software package). 1.2)[ 20 points]. Provide the phenotypic variance of adjusted speed using the answers to 1.1). Include units with your answers. The answer must be computed manually (you are welcome to confirm your manual calculations using Excel, R, SAS, or other software package). Demonstrate the derivation of your answer and round your answer to the nearest thousandths (third decimal place). 1.3) [20 points]. Provide the phenotypic variance of adjusted height and the covariance between adjusted speed and adjusted height. Include units with your answers. Manual computation and demonstration of the derivation of your answers are not required. Round your answer to the nearest thousandths (third decimal place) 1.4)[20 points] Provide the estimates of correlation between adjusted speed and adjusted height (r^PSPH), regression of adjusted speed on adjusted height (b^PS.PH) using the answers in 1.2) and 1.3). Demonstrate the derivation of your answers and round your answers to the nearest thousandths (third decimal place). Include units with your answers. 1.1)[ 20 points]. Apply a multiplicative adjustment of speed on age and an additive adjustment of height on age in recognition that the age of the horse affect both traits. a) Multiplicative adjustment: horses are 1km/ hour faster for every year older beyond 2 years. The speed phenotypes must be adjusted to the 2-year-old baseline. b) Additive adjustment: horses 4 years old and older are 1 inch taller than younger horses. The height phenotypes must be adjusted to the younger horse baseline. Compute the adjusted speed and height phenotypes for each horse and add them to the table. All answers must be computed manully (you are welcome to confirm your manual calculations using Excel, R, SAS or other software package). 1.2)[ 20 points]. Provide the phenotypic variance of adjusted speed using the answers to 1.1). Include units with your answers. The answer must be computed manually (you are welcome to confirm your manual calculations using Excel, R, SAS, or other software package). Demonstrate the derivation of your answer and round your answer to the nearest thousandths (third decimal place). 1.3) [20 points]. Provide the phenotypic variance of adjusted height and the covariance between adjusted speed and adjusted height. Include units with your answers. Manual computation and demonstration of the derivation of your answers are not required. Round your answer to the nearest thousandths (third decimal place) 1.4)[20 points] Provide the estimates of correlation between adjusted speed and adjusted height (r^PSPH), regression of adjusted speed on adjusted height (b^PS.PH) using the answers in 1.2) and 1.3). Demonstrate the derivation of your answers and round your answers to the nearest thousandths (third decimal place). Include units with your answers
