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

Interpret the least squares regression line of this data set.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 correct least squares regression line for the data set is:y=0.365x–1.494Use it to complete the following sentence:For each additional gram of sugar in a pudding cup, the least squares regression line predicts its rating will increase by

Read the following description of a data set.Piquant Candy Company is testing a new additive designed to make its hard caramel candies dissolve more slowly. Company scientists gave several taste testers pieces of candy with varying amounts of the additive.The scientists recorded the amount of additive in each piece (in milligrams), x, and how long the taste tester said it took to dissolve completely (in minutes), y.The least squares regression line of this data set is:y=1.148x–92.855If a piece of candy has 92 milligrams of the additive, how long does the line predict it would take to dissolve completely?Round your answer to the nearest integer. 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.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.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