# 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?
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?
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?
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)?

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?
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?
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?
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?
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?
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?
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?
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?
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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