Jacques, an artisan cheese maker, colects data on every step of the cheese-making process for each batch he makes, Jacques noticed that the daly high temperature in his shop on the day he made a batch of cheese was related to the pH of the cheese the next morning He computed the correlation between the daily high temperature and the pH of the cheese to be-0.64. What information does the correlation provide about the relationship between the daily high temperaure and the pH of the cheese?

a. The relationship is linear because the corelation is negative Subn The relationship is not linear because the conelation is negative

b. The moming pH of the cheese tends to be higher when the daly high temperature in the shop is warmer, compared to when the daly high temperature is cooler

c. The moming pH of the cheese tends to be higher when the daly Ngh temperature in the shop is cooler compared 10 when the duly high temperature is warmer

d. There is no relstionahip between the daly high temperature and the pH of the cheisa.

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