Question 1
A line of best fit for a scatterplot passes through the points \((10, 25)\) and \((30, 65)\). What is the equation of this line?
Hard - Quiz 1
Tackle line-of-best-fit equations from data, residual analysis, model selection between linear and exponential, reverse predictions, and correlation versus causation.
Question 1 of 5
0 of 5 answered
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Answer question 1 to unlock
A researcher fits a linear model to a data set and plots the residuals against the \(x\)-values. The residual plot shows a clear U-shaped curve. What does this suggest about the linear model?
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Answer question 2 to unlock
A biologist records the population of a bacteria colony over four hours.
\[\begin{array}{|c|c|} \hline \textbf{Hour} & \textbf{Population} \\ \hline 0 & 100 \\ 1 & 150 \\ 2 & 225 \\ 3 & 337 \\ \hline \end{array}\]
Which type of model best fits this data?
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Answer question 3 to unlock
A nutritionist models the relationship between daily servings of vegetables (\(x\)) and a health score (\(y\)) using the line of best fit \(y = 1.2x + 15\). A patient has a health score of 51. According to the model, how many daily servings of vegetables does this correspond to?
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Answer question 4 to unlock
A study finds a strong positive correlation between ice cream sales and the number of drowning incidents in a city over a 12-month period. Which of the following is the most reasonable conclusion?