Correlation
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Question 1 of 6
1. Question
Which of the following scatter plots have negative correlations?Hint
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Correlation is a value between `-1` and `1` which describes how the values in the data relate to each other.You can determine if a correlation is negative or positive depending on the direction made on a scatter plot.`\text(Upward Slope)` `=` `\text(Positive Correlation)` `\text(Downward Slope)` `=` `\text(Negative Correlation)` `\text(No Direction)` `=` `\text(Zero Correlation)` Using the guide above, we can determine which of the scatter plots are negativePlot AThe scatter plot does not display any visible direction. Therefore, the correlation is zero.Plot BThe scatter plot displays a downward slope. Therefore, the correlation is negativePlot CThe scatter plot displays an upward slope. Therefore, the correlation is positivePlot DThe scatter plot displays a downward slope. Therefore, the correlation is negativeTherefore, plots `B` and `D` have negative correlations. -
Question 2 of 6
2. Question
Which of the following scatter plots has the most accurate correlation?Hint
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Correlation is a value between `-1` and `1` which describes how the values in the data relate to each other.The accuracy of a correlation is determined on how less scattered that plots are.Using the guide above, we can determine which of the scatter plots is the most accuratePlot AThe scatter plot displays an upward slope but the plots are loose. Therefore, the accuracy of the correlation is accurate.Plot BThe scatter plot does not display any visible direction. Therefore, the correlation has no line of best fit.Plot CThe scatter plot displays an upward slope and the plots form a single straight line. Therefore, the accuracy of the correlation is very accurate.Plot DThe scatter plot displays an downward slope but the plots are very loose. Therefore, the accuracy of the correlation is not very accurate.Therefore, plot `C` is the most accurate correlation. -
Question 3 of 6
3. Question
Which of the following scatter plots indicate the correlation between Study Time and Grades?Hint
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Correlation is a value between `-1` and `1` which describes how the values in the data relate to each other.You can determine if a correlation is negative or positive depending on the direction made on a scatter plot.`\text(Upward Slope)` `=` `\text(Positive Correlation)` `\text(Downward Slope)` `=` `\text(Negative Correlation)` `\text(No Direction)` `=` `\text(Zero Correlation)` The proper logic to follow would be, as your study time increases, your grade also increases.This means that Study Time and Grades have a direct variation, or a positive correlation.Using the guide above, we can determine which of the scatter plots is positivePlot AThe scatter plot displays an upward slope on the first half, and a downward slope on the second half. Therefore, the correlation is positive on the first half, and negative on the second half.Plot BThe scatter plot displays a downward slope. Therefore, the correlation is negativePlot CThe scatter plot does not display any visible direction. Therefore, the correlation is zero.Plot DThe scatter plot displays an upward slope. Therefore, the correlation is positiveTherefore, plot `D` displays the correlation between Study Time and Grades. -
Question 4 of 6
4. Question
Which of the following scatter plots indicate the correlation `r=-0.8`?Hint
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Correlation is a value between `-1` and `1` which describes how the values in the data relate to each other.You can determine if a correlation is negative or positive depending on the direction made on a scatter plot.`\text(Upward Slope)` `=` `\text(Positive Correlation)` `\text(Downward Slope)` `=` `\text(Negative Correlation)` `\text(No Direction)` `=` `\text(Zero Correlation)` Since the correlation is negative and is close to `-1`, the correct scatter plot would have a downward slope and the plots should be the least scattered.Plot AThe scatter plot displays a downward slope and the plots are loose. Therefore, the correlation of this plot would be negative and is close to `0`.Plot BThe scatter plot displays an upward slope and the plots are loose. Therefore, the correlation of this plot would be positive and is close to `0`.Plot CThe scatter plot displays a downward slope and the plots are compressed. Therefore, the correlation of this plot would be negative and is close to `-1`.Plot DThe scatter plot displays an upward slope and the plots are compressed. Therefore, the correlation of this plot would be positive and is close to `1`.Therefore, plot `C` would be the most accurate scatter plot to indicate the correlation `r=-0.8`. -
Question 5 of 6
5. Question
Match the correlation coefficient to each of the scatter plots.`r=0.8``r=0.3``r=0``r=-0.9`-
`\text(Plot A) =` (0.8)`\text(Plot B) =` (0.3)`\text(Plot C) =` (0)`\text(Plot D) =` (-0.9)
Hint
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Correct!
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Correlation is a value between `-1` and `1` which describes how the values in the data relate to each other.You can determine if a correlation is negative or positive depending on the direction made on a scatter plot.`\text(Upward Slope)` `=` `\text(Positive Correlation)` `\text(Downward Slope)` `=` `\text(Negative Correlation)` `\text(No Direction)` `=` `\text(Zero Correlation)` Using the guide above, we can determine which of the scatter plots are negativePlot AThe scatter plot displays a lesser scattered upward slope. Therefore, the correlation would be closer to `1`.`r=0.8` fits this scatter plot.Plot BThe scatter plot displays a more scattered upward slope. Therefore, the correlation would be positive but closer to `0`.`r=0.3` fits this scatter plot.Plot CThe scatter plot does not display any visible direction. Therefore, the correlation `(r)` is zero.Plot DThe scatter plot displays a lesser scattered upward slope. Therefore, the correlation would be closer to `-1`.`r=-0.9` fits this scatter plot.`\text(Plot A)=0.8``\text(Plot B)=0.3``\text(Plot C)=0``\text(Plot D)=-0.9` -
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Question 6 of 6
6. Question
Match the correlation coefficient to each of the scatter plots.`r=0.25``r=-0.7``r=-0.9``r=0.5`-
`\text(Plot A) =` (0.25)`\text(Plot B) =` (-0.9)`\text(Plot C) =` (-0.7)`\text(Plot D) =` (0.5)
Hint
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Exceptional!
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Correlation is a value between `-1` and `1` which describes how the values in the data relate to each other.You can determine if a correlation is negative or positive depending on the direction made on a scatter plot.`\text(Upward Slope)` `=` `\text(Positive Correlation)` `\text(Downward Slope)` `=` `\text(Negative Correlation)` `\text(No Direction)` `=` `\text(Zero Correlation)` Using the guide above, we can determine the values each scatter plots representPlot AThe scatter plot displays a very loose upward slope. Therefore, the correlation would be positive and closer to `0`.`r=0.25` fits this scatter plot.Plot BThe scatter plot displays a less scattered downward slope. Therefore, the correlation would be negative and closer to `-1`.`r=-0.9` fits this scatter plot.Plot CThe scatter plot displays a loose downward slope. Therefore, the correlation would be negative and closer to `-1`.`r=-0.7` fits this scatter plot.Plot DThe scatter plot displays a lesser scattered upward slope. Therefore, the correlation would be closer to `1`.`r=0.5` fits this scatter plot.`\text(Plot A)=0.25``\text(Plot B)=-0.9``\text(Plot C)=-0.7``\text(Plot D)=0.5` -