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Interpret regression lines

Read the following description of a data set.\newlineTodd works with a property developer building houses close to the coastline in Italy. His boss thinks that demand for the houses will be based primarily on their size. Todd wants to show his boss that proximity to the ocean is also a big factor to consider.So, he looks at several houses of the same size in the area. He records the distance of each house from the ocean (in kilometers), xx. He also notes the number of people who offered to buy each house, yy, when it was last put up for sale.The least squares regression line of this data set is:y=−1.748x+34.569y = -1.748x + 34.569\newlineComplete the following sentence:\newlineFor each additional kilometer away from the ocean, the least squares regression line predicts there will be __\_\_ fewer offers.
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Read the following description of a data set.\newlineMariana works with a property developer building houses close to the coastline in Italy. Her boss thinks that demand for the houses will be based primarily on their size. Mariana wants to show her boss that proximity to the ocean is also a big factor to consider.So, she looks at several houses of the same size in the area. She records the distance of each house from the ocean (in kilometers), xx. She also notes the number of people who offered to buy each house, yy, when it was last put up for sale.The least squares regression line of this data set is:y=−3.234x+33.499y = -3.234x + 33.499\newlineComplete the following sentence:\newlineFor each additional kilometer away from the ocean, the least squares regression line predicts there will be __\_\_ fewer offers.
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Read the following description of a data set.\newlineStem and Leaf Agriculture wants to add a new compound to its bags of sunflower fertilizer. The company produced several bags containing varying amounts of the compound to see how it would affect sunflower growth.Next, Stem and Leaf collected data on the amount of the compound added to each bag (in grams), xx, and the weekly growth of the sunflowers treated with each bag (in centimeters), yy.The least squares regression line of this data set is:y=0.138x+23.221y = 0.138x + 23.221\newlineComplete the following sentence:\newlineIf Stem and Leaf Agriculture increased the amount of the compound by one gram per bag, the least squares regression line predicts that the sunflowers would grow __\_\_ centimeters more per week.
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Read the following description of a data set.\newlineA publishing company is interested in the relationship between a customer's educational background and book-buying habits. As part of her summer internship at the company, Maggie designed a survey to investigate this relationship.The survey asked each person how many years of education they had completed, xx, and how many books they had purchased last year, yy.The least squares regression line of this data set is:y=1.206x+42.766y = 1.206x + 42.766\newlineComplete the following sentence:\newlineThe least squares regression line predicts a person would have bought __\_\_ additional books last year, for each additional year of education.
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Read the following description of a data set.\newlineThe CEO of McLean's Natural Fruit Juice wants to see whether the company's internal tasters give consistent ratings. He 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 100100-point scale. The CEO recorded the ratings that had been given to the first sample of the pomegranate-kiwi blend, xx, and the second, yy.The least squares regression line of this data set is:y=0.659x+21.481y = 0.659x + 21.481\newlineComplete the following sentence:\newlineFor 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 higher.
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Read the following description of a data set.\newlineA professor wants to know if a student's first exam score can be used to accurately predict his or her final exam score.He looked at how some of his previous students did on their first exam, xx. He also looked at their final exam scores, yy. Both exams were graded out of 100100.The least squares regression line of this data set is:y=1.024x−50.727y = 1.024x - 50.727\newlineComplete the following sentence:\newlineThe least squares regression line predicts that if a student got an additional point on the first exam, their final exam score would be ___ points higher.
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Read the following description of a data set.\newlineFor a science project, Maya wants to see if a larger body of water has more heat energy than a smaller body of water at the same temperature. She prepared a number of buckets filled with various amounts of water at a fixed temperature and dropped an ice cube of the same size into each one.Maya then recorded the volume of water in each bucket (in milliliters), xx, and the amount of time it took for each ice cube to melt (in minutes), yy.The least squares regression line of this data set is:y=−0.008x+27.243y = -0.008x + 27.243\newlineComplete the following sentence:\newlineThe least squares regression line predicts that if the volume of water increases by one milliliter, the time it takes for the ice cube to melt will drop by __\_\_ minutes.
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Read the following description of a data set.\newlinePike County's Parks and Recreation Department is considering establishing a new park. As part of the decision-making process, the department asked an intern to conduct a park usage study.The study considered the area (in square kilometers), xx, and the number of visitors last year, yy, of each county park.The least squares regression line of this data set is:y=24,417.569x−58,522.969y = 24,417.569x - 58,522.969\newlineComplete the following sentence:\newlineIf a park's area was one square kilometer larger, the least squares regression line predicts that it would have had __\_\_ more visitors last year.
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