Use the least squares regression line of this data set to predict a value.A food scientist wants to understand how much sugar children like in their desserts. He sets up a study where children taste cups of vanilla pudding with varying sweetness and rate each cup on a scale of 1 to 10, where 10 is excellent.For each tasting, the food scientist writes down the grams of sugar in the pudding cup, x, as well as its rating, y.Grams of sugar Rating10 318 221 924 627 9The least squares regression line of this data set is:y=0.365x–1.494What rating does this line predict for a pudding cup with 12 grams of sugar?Round your answer to the nearest integer.

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.

The equation for the least-squares regression line to this data set is .What is the predicted number of total calories for a food item that contains 25 grams of fat?

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.The CEO of McLean's Natural Fruit Juice wants to see whether the company's internal tasters give consistent ratings. She set up a blind taste test in which the tasters rated several samples of fruit juice in the same order, not knowing that two of the samples were actually the same pomegranate-kiwi blend.Each taster rated the samples on a 100-point scale. The CEO recorded the ratings that had been given to the first sample of the pomegranate-kiwi blend, x, and the second, y.The least squares regression line of this data set is:y=0.759x+15.957Complete the following sentence:For each additional point a taster gave the first sample of the pomegranate-kiwi blend, the least squares regression line predicts that he or she would rate the second sample points

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