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Trend Lines And Lines Of Best Fit - Unit 10
Test Description: Test your knowledge of trend lines, interpreting slopes and y-intercepts in context, and what correlation and causation is all about!
Instructions: Answer all questions to get your test result.
1) 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 changing about every 2 minutes.
B
The temperature in the glass is dropping at 1.8 degrees per minute.
C
The temperature in the glass is rising at 1.8 degrees per minute.
D
The temperature in the glass was 70 degrees when he started the experiment.
2) 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
He began the experiment 70 minutes ago.
B
The temperature of the water was 70 degrees when he started at time = 0.
C
The water was -1.8 degrees when he started at time = 0.
D
He began the experiment 1.8 minutes ago.
3) 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 minute spent studying.
B
On average, students lose about 3 points on their grade for every minute spent studying.
C
On average, students gain about 3 points on their grade for every hour spent studying.
D
On average, students lose 6 points for every minute they spent studying.
4) 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
Students who don't study get marked off 6 points.
B
The y-intercept was miscalculated! It should be zero.
C
If students spend zero minutes studying, their final grade would be -6%.
D
All students start the test with a grade of -6%.
5) What is the purpose of a trend line?
A
A trend line is always supposed to go through (0,0), so it must be drawn that way to give good predictions.
B
A trend line is supposed to connect all of the dots.
C
A trend line is supposed to be an exact predictor of the data and touch as many points as possible.
D
A trend line models the data that you are given, showing where it has been and where it might be going.
6) Is it OK to have a negative y-intercept when you write the rule for a trend line?
A
No, it just means you made a mistake in your calculations.
B
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.
C
It isn't OK! Rules have to make sense for ALL possibilities!
7) 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
Increasing cookie sales will cause milk sales to increase also.
B
The more cookies you sell, the more milks will also be sold.
C
Selling milk will cause cookie sales to rise.
8) 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 will be both a positive correlation and causation to this graph. More weight causes more force.
B
There is positive correlation but not causation. When weight goes up, force goes up, but more weight doesn't cause more force
C
There is both negative correlation and causation. More weight means less force, and the weight change causes the force change
D
There is causation but no correlation. Weight and force have no relationship, but weight changes will cause force changes.
9) 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
62.75%
C
47.25%
D
33.5%
10) In Mr. DeYoung's experiment, T = -1.8M + 70 was his model. When will his water freeze (32 degrees)?
A
about 104 minutes
B
about 36 minutes
C
About 21 minutes
D
about 57 minutes
11) 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
The correlation is not strong, but it is not completely weak either. The dots would show a somewhat linear pattern.
B
This graph shows a positive correlation - more students at the review sessions matches to higher average test grades.
C
Any predictions made with the line of best fit would be interesting to see, but not that reliable.
D
You can only believe the predictions 73% of the time.
12) Which of the following data comparisons would show causation?
A
The time spent texting with friends and the amount of homework you complete.
B
The number of extra help sessions you attend and the final grade on a test.
C
The number of sticks of gum I give to others and the number of sticks of gum left in my package.
D
The number of friends you have and the number of parties you attend.
*select an answer for all questions
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