Given the following multiple regression equation: 9 = 78 + 8:, 13:; Select the direction of change in y and enter a positive integer in the answer box. a] If :1 increases by 1 unit whi1e holding 2:; constant then y m v v. by J units on average. b] If :3 increases by 1 unit while holding zl constant. than y m v v I by J units on average. Given the following multiple regression equation: =48?:1+3r-3+723 Select the direction of change in y and enter a positive integer in the answer box. a} If :1 increases by 5 units while holding mg and 23 constant. thenyWV. bylf lunits on average. b} If :2 increases by 2 units while holding 21 and 23 constant, then y m v V. by units on average. {1 If 23 increases by 6 units while holding :1 and :3 constant then 3,- m v I. by units on average. A multiple regression analysis to assess the effects of age and wage ($/hr) on productivity units produced the following output: Coefficient Standard Error t-stat p-value Intercept 29.271 13.672 2.141 0.0448 Age 1.519 0.362 4.197 0.0004 Wage -0.854 0.429 -1.991 0.0604 a) Estimate the productivity units for a 47-year-old earning $36/hr. Round to the nearest whole number. b) Which of the following best interprets the regression coefficient for Wage? O For each additional productivity unit, wage on average decreases by 0.854 assuming age is held constant. O For each additional dollar in wage, age on average increases by 1.519 assuming productivity is held constant. O For each additional year in age, wage on average decreases by -0.854 assuming productivity is held constant. O For each additional dollar in wage, productivity units on average decrease by 0.854 assuming age is held constant