Interpret in Context
Linear Models (Equations)
Residuals
Correlation Coefficient
Causation vs. Correlation
100
What does 0.3 mean in the context of this questions?
The number 0. 3 means that as you add each new lemon, the weight of the box tends to increase by 0. 3 pounds
100
Given the scatter plot and the equation, what does the y-intercept mean in this context?
The amount of batter life before spending any time on phone
100
What pattern should the plot of the residuals have?
scattered/random
100
The variable that represents the strength of the correlation of a scatter plot
What is "r".
100
The toilet started leaking and the floor is wet.
Causation or Correlation? Why?
Causation: The toilet leaking directly causes the floor to be wet.
200
What does 1 mean in this context?
The number 1 means that the weight of the box is 1 pound before any lemons are added.
200
Given the scatter plot and the linear equation, what does the slope mean in this context?
As the time spent on the phone increases by 1 hour, the amount of battery life decrease by 3/4 of an hour.
200
A residual plot shows what about a linear model?
What is whether a linear model is appropriate and the accuracy of the actual value to the estimated value
200
The value of r that represents a perfect positive correlation.
What is 1.
200
I was driving 60 in a 40 mile zone and I got a ticket. Causation or Correlation? Why?
Causation: driving over the speed limit will cause you to get a ticket.
300
The equation of this line is: y= -1.62x + 18. What does the -1.62 mean in this context?
The number –1. 62 means that for each additional staff member working, the customer wait time tends to decrease by –1. 62 minutes.
300
How do you determine where to place the line of best fit?
There should be an equal number of points above and below the line.
300
Use the residual plot to answer whether a linear model is appropriate in this case.
A strong pattern indicates a linear model is NOT appropriate
300
Describe this correlation coefficient: -0.9
Strong, Negative
300
The better my handwriting is, the higher test grades I get.
Causation or Correlation? Why?
Correlation: having good handwriting does not directly cause you to get higher test grades.
400
Predict the height of a building that has 50 floors
about 750-770 feet
400
What two things do we interpret in a line of fit?
What is slope and the y-intercept
400
The following residual plot indicates that a linear model would not be appropriate for a scatter plot. True or False? Why?
What is false.
400
What would be a reasonable correlation coefficient for the given graph? Why?
0.5, 0, -0.72, 0.92
What is 0.92. strong positive correlation
400
The moon shines, because the internet said it did
Causation or Correlation? Why
Correlation: the moon shining is not caused by looking it up on the internet.
500
What does 0.12 mean in this context?
The number 0. 12 means that for every mile that the distance increases, the length of a flight tends to increase by 0. 12 minutes.
500
Using the line of best fit, how many hours does someone who is 4 years old read?
What is 4 hours
500
Which residual plot does NOT represent a good model? Why?
The Middle graph
500
Describe a correlation of r = 0.243
positive and weak
500
I overslept because I missed my flight.
Causation or correlation? Why?
Correlation: Missing your flight did not cause you to oversleep.