Regression (Fuel Efficiency) (Optional) Quiz
The question sheet
Reveal any answer as you study-
What is one student learning outcome for this experiment?
- Calculate the line of best fit
- Find the median wait time
- Draw a box plot
- Compute the variance
Reveal answer
Answer: Calculate the line of best fit
Source evidence
PDF page 682: • The student will calculate and construct the line of best fit between two variables.
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Another learning outcome asks students to evaluate the relationship between two variables to determine whether it is:
- Uniform
- Skewed
- Symmetrical
- Significant
Reveal answer
Answer: Significant
Source evidence
PDF page 682: • The student will evaluate the relationship between two variables to determine whether that relationship is
PDF page 682: significant. Collect the Data Find a reputable source that provides information on total fuel efficiency (in miles per gallon) and weight (in pounds) of new cars with an automatic transmission. You will use these data to determine the relationship, if any, between the fuel efficiency of a car and its weight.
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What two variables are being related in the data collection?
- Price and mileage
- Fuel efficiency and weight
- Speed and distance
- Height and age
Reveal answer
Answer: Fuel efficiency and weight
Source evidence
PDF page 682: significant. Collect the Data Find a reputable source that provides information on total fuel efficiency (in miles per gallon) and weight (in pounds) of new cars with an automatic transmission. You will use these data to determine the relationship, if any, between the fuel efficiency of a car and its weight.
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Fuel efficiency is measured in what units?
- Pounds per mile
- Miles per gallon
- Kilometers per liter
- Gallons per hour
Reveal answer
Answer: Miles per gallon
Source evidence
PDF page 682: significant. Collect the Data Find a reputable source that provides information on total fuel efficiency (in miles per gallon) and weight (in pounds) of new cars with an automatic transmission. You will use these data to determine the relationship, if any, between the fuel efficiency of a car and its weight.
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Weight of the cars is measured in what units?
- Ounces
- Kilograms
- Pounds
- Tons
Reveal answer
Answer: Pounds
Source evidence
PDF page 682: significant. Collect the Data Find a reputable source that provides information on total fuel efficiency (in miles per gallon) and weight (in pounds) of new cars with an automatic transmission. You will use these data to determine the relationship, if any, between the fuel efficiency of a car and its weight.
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What kind of cars should be used for the data collection?
- Electric vehicles
- Manual transmission trucks
- Used sports cars
- New cars with automatic transmission
Reveal answer
Answer: New cars with automatic transmission
Source evidence
PDF page 682: significant. Collect the Data Find a reputable source that provides information on total fuel efficiency (in miles per gallon) and weight (in pounds) of new cars with an automatic transmission. You will use these data to determine the relationship, if any, between the fuel efficiency of a car and its weight.
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When writing the linear equation, you should round to how many decimal places?
- Five
- Two
- Four
- Three
Reveal answer
Answer: Four
Source evidence
PDF page 683: Analyze the Data Enter your data into a calculator or computer. Write the linear equation, rounding to four decimal places.
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How should you enter your data for analysis?
- By hand tally
- Into a calculator or computer
- With a ruler
- Using a paper chart only
Reveal answer
Answer: Into a calculator or computer
Source evidence
PDF page 683: Analyze the Data Enter your data into a calculator or computer. Write the linear equation, rounding to four decimal places.
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What form is the equation of best fit written as?
- f(x) = 0
- x = y + b
- y = mx
- ŷ = ______
Reveal answer
Answer: ŷ = ______
Source evidence
PDF page 683: e. equation: ŷ = ______
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When scaling the graph, what should you do with both axes?
- Use only whole numbers
- Reverse them
- Leave them unlabeled
- Scale them accurately
Reveal answer
Answer: Scale them accurately
Source evidence
PDF page 683: Scale both axes accurately.
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The coefficient of correlation measures the strength of association between:
- The mean and median
- Two dependent variables
- Independent and dependent variables
- Two constants
Reveal answer
Answer: Independent and dependent variables
Source evidence
PDF page 685: coefficient of correlation a measure developed by Karl Pearson during the early 1900s that gives the strength of association between the independent variable and the dependent variable;
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Who developed the coefficient of correlation?
- Karl Pearson
- John Tukey
- Carl Gauss
- Isaac Newton
Reveal answer
Answer: Karl Pearson
Source evidence
PDF page 685: coefficient of correlation a measure developed by Karl Pearson during the early 1900s that gives the strength of association between the independent variable and the dependent variable;
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