Different hotels in a certain area are randomly selected, and their ratings and prices were obtained online. using technology, with x representing the ratings and y representing price, we find that the regression equation has a slope of 125 and a y-intercept of negative 363. complete parts (a) and (b) below. a. what is the equation of the regression line? select the correct choice below and fill in the answer boxes to complete your choice. a. yequals nothingplusleft parenthesis nothing right parenthesis modifyingabove x with caret b. modifyingabove y with caretequals nothingplusleft parenthesis nothing right parenthesis modifyingabove x with caret c. modifyingabove y with caretequals nothingplusleft parenthesis nothing right parenthesis x d. yequals nothingplusleft parenthesis nothing right parenthesis x

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24