Problem II oulink regression analysis was used to study how an individual's income (Yin thousands of dollars) is influenced by age (X, in years), level of education (X, ranging from 1 to 5), and the person's gender (X; where 0 -female and Imale). The following is a partial result of a computer program that was used on a sample of 20 individuals Coefficient Standard Error 0.6251 0,094 0.9210 0.190 -0.510 0.920 Analysis of Variance Source of Degrees Sum of Mean Variation of Freedom Squares Square Regression 84 112 a: Compute the coefficient of determination b. Perform at test and determine whether or not the coefficient of the variable "level of education" (.e., X) is significantly different from zero. Leta -0.05. At Q -0.05, perform an F test and determine whether or not the regression model is significant d. As you note the coefficient of X, is -0.510. Fully interpret the meaning of this coefficient. Error