Read the following description of a data set.The manager at a new bank wants to hire enough tellers to ensure no customer waits in line too long. To gather more information, she waits in line at other local banks.At each bank the manager notes the number of teller windows that are open, x, as well as the number of minutes she has to wait in line before being served, y.The least squares regression line of this data set is:y=–0.607x+4.858Complete the following sentence:The least squares regression line predicts that for each additional open window, the time spent waiting in line decreases by minutes.

Read the following description of a data set.Nick accidentally left food in his backyard one night and noticed a cat eating it the next morning. Nick likes helping out the neighborhood cats, so he wonders if putting out more food will result in more cats coming to his backyard.Over the next few nights, Nick leaves out different amounts of food (in grams), x, and notes the number of cats in his backyard the following morning, y.The least squares regression line of this data set is:y=0.004x–0.358Complete the following sentence:If Nick leaves out one additional gram of food at night, the least squares regression line predicts more cats will be in his backyard the next morning.

Read the following description of a data set.Nate is packing for vacation and is wondering how many books to bring. He wants to make sure he does not run out of reading material, so he looks at his reading journal to see how many books he read on past vacations.For each vacation, he records the vacation's length (in days), x, and how many books he read, y.The least squares regression line of this data set is:y=0.745x–0.044How many books does this line predict Nate would have read on a 13 day vacation?Round your answer to the nearest integer. booksSubmit

Interpret the least squares regression line of this data set.Ruben thinks that text messaging is causing him to talk less on the phone. For one month, he examined his text message and call logs with his closest friends.For each friend, Ruben checked the number of text messages he sent to that friend, x, and the number of minutes they spoke on the phone, y.Text messages sent Minutes on the phone156 255167 201210 176263 157276 164350 164The least squares regression line for the data set is:y=–0.385x+277.516Use it to complete the following sentence:If Ruben sent one more text message to a friend, the least squares regression line predicts he would have spent fewer minutes on the phone with them.

Read the following description of a data set.Faced with budget cuts, a state commission is looking into closing some of its public libraries. To help minimize the negative impact of the closures, the commission gathered data on local school and library facilities.The number of schools, x, and the number of libraries, y, were recorded for each town.The least squares regression line of this data set is:y=0.084x+1.743How many libraries does this line predict for a town with 5 schools?Round your answer to the nearest integer. libraries

Read the following description of a data set.Researchers at a sleep clinic want to know how watching television affects a person's ability to fall asleep. In a study, they measure the amount of time it takes subjects to fall asleep at night after watching television.The researchers note the number of minutes the subjects spent watching television in the evening, x, as well as the number of minutes it took them to fall asleep, y.The least squares regression line of this data set is:y=0.111x+4.364How many minutes does this line predict it will take a subject to fall asleep if they watch 175 minutes of television in the evening?Round your answer to the nearest integer. minutes