Read the following description of a data set.Rod Diamond is a singer who appeals to an older demographic. For a comedy segment on a late night show, he asked random people on the street how old they were and how many of his songs they could name, if any.Rod noted the age of each person he spoke with, x, and the number of songs each could name, y.The least squares regression line of this data set is:y=0.032x+17.851If a person is 33 years old, how many Rod Diamond songs does this line predict they can name?Round your answer to the nearest integer. songs

Read the following description of a data set.To help plan book acquisitions for the next year, a public library collected data on a sample of its active members.For each member in the sample, the library recorded the number of fiction books, x, and the number of nonfiction books, y, borrowed last month.The least squares regression line of this data set is:y=4.137x–26.957Complete the following sentence:For each additional fiction book a library member borrowed last month, the least squares regression line predicts they borrowed additional nonfiction books.

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

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.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.Ariel is an ornithologist who monitors the wintering activity of birds in a forest clearing. She thinks that the number of different species arriving each season is related to the average winter temperature.For several winters, Ariel takes precise measurements to compute the average winter temperature (in Celsius), x. She also counts the total number of bird species, y, that appeared in the clearing.The least squares regression line of this data set is:y=0.403x–0.726If the average winter temperature is 22, what does this line predict for the number of bird species appearing?Round your answer to the nearest integer. bird species