# Trend Lines And Lines Of Best Fit - Unit 10: Question Preview (ID: 22398)

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Which of the following data comparisons would show causation? |
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a) The number of sticks of gum I give to others and the number of sticks of gum left in my package. | b) The number of extra help sessions you attend and the final grade on a test. | c) The time spent texting with friends and the amount of homework you complete. | d) The number of friends you have and the number of parties you attend. | |

You are analyzing a scatter plot comparing the number of students attending a morning review session and the final average grade on a test. You input the data into a calculator and get an r value of 0.73. Which is NOT a true conclusion? |
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a) This graph shows a positive correlation - more students at the review sessions matches to higher average test grades. | b) You can only believe the predictions 73% of the time. | c) The correlation is not strong, but it is not completely weak either. The dots would show a somewhat linear pattern. | d) Any predictions made with the line of best fit would be interesting to see, but not that reliable. | |

Mrs. Komac had the rule G= 2.75T - 6 to model study time (T) and grade (G). What grade would you expect for 10 minutes of studying? |
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a) 21.5% | b) 33.5% | c) 62.75% | d) 47.25% | |

In Mr. DeYoung's experiment, T = -1.8M + 70 was his model. When will his water freeze (32 degrees)? |
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a) about 57 minutes | b) about 36 minutes | c) about 104 minutes | d) About 21 minutes | |

You make a graph comparing the weight of an object (x) to the force needed to lift it (y). What is true about this data? |
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a) There is positive correlation but not causation. When weight goes up, force goes up, but more weight doesn't cause more force | b) There is causation but no correlation. Weight and force have no relationship, but weight changes will cause force changes. | c) There is both negative correlation and causation. More weight means less force, and the weight change causes the force change | d) There will be both a positive correlation and causation to this graph. More weight causes more force. | |

Is it OK to have a negative y-intercept when you write the rule for a trend line? |
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a) It isn't OK! Rules have to make sense for ALL possibilities! | b) No, it just means you made a mistake in your calculations. | c) The rule is only good for the given data because it is giving you the location of the line on the graph, not any meaning. | d) | |

You make a graph that compares number of cookies sold (x) to number of milks sold (y). You see a positive correlation. What does that mean? |
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a) Selling milk will cause cookie sales to rise. | b) The more cookies you sell, the more milks will also be sold. | c) Increasing cookie sales will cause milk sales to increase also. | d) | |

What is the purpose of a trend line? |
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a) A trend line models the data that you are given, showing where it has been and where it might be going. | b) A trend line is supposed to be an exact predictor of the data and touch as many points as possible. | c) A trend line is always supposed to go through (0,0), so it must be drawn that way to give good predictions. | d) A trend line is supposed to connect all of the dots. | |

Mrs. Komac compared the time spent studying for a test (minutes) and the final grade on the test (percent out of 100). She draws a trend line on her graph and writes the rule G = 2.75T - 6 to fit her trend line. What does the y-intercept mean? |
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a) The y-intercept was miscalculated! It should be zero. | b) All students start the test with a grade of -6%. | c) Students who don't study get marked off 6 points. | d) If students spend zero minutes studying, their final grade would be -6%. | |

Mrs. Komac gathered some data on the time spent studying for a test (minutes) and the final grade on the test (percent out of 100). She draws a trend line on her graph and writes the rule G = 2.75T - 6 to fit her trend line. What does the slope mean? |
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a) On average, students gain about 3 points on their grade for every hour spent studying. | b) On average, students gain about 3 points on their grade for every minute spent studying. | c) On average, students lose 6 points for every minute they spent studying. | d) On average, students lose about 3 points on their grade for every minute spent studying. | |

Mr. DeYoung recently did a science experiment comparing the number of minutes passed to the temperature (F) in a glass of water. He writes the function rule T = -1.8M+70 to model his data. What does the y-intercept of this rule mean to Mr. DeYoung? |
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a) The water was -1.8 degrees when he started at time = 0. | b) The temperature of the water was 70 degrees when he started at time = 0. | c) He began the experiment 70 minutes ago. | d) He began the experiment 1.8 minutes ago. | |

Mr. DeYoung recently did a science experiment comparing the number of minutes passed to the temperature (F) in a glass of water. He writes the function rule T = -1.8M+70 to model his data. What does the slope of this equation mean to Mr. DeYoung? |
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a) The temperature in the glass is rising at 1.8 degrees per minute. | b) The temperature in the glass was 70 degrees when he started the experiment. | c) The temperature in the glass is dropping at 1.8 degrees per minute. | d) The temperature in the glass is changing about every 2 minutes. | |

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