Zero Correlation

• What is the main difference in expectation between zero correlation and no correlation?

  Zero correlation has an expectation of a relationship
• How does a scatter plot differ between zero correlation and no correlation?

  Zero correlation shows points around a horizontal line
• What do these scenarios indicate about the variables involved?

  They show no pattern or connection, indicating zero correlation
• What is the coefficient value for zero correlation?

  $r =$$0$
• What is the relationship between the number of siblings and grade point average (GPA)?

  Sibling count doesn't influence academic performance
• Why does height not correlate with coffee consumption?

  Height is determined by genetics and nutrition
• How are points arranged in a scatter diagram with zero correlation?

  They are scattered randomly across the graph
• What is the relationship between gaming time and math exam scores?

  Gaming time and exam results are unrelated
• What does zero correlation mean?

  No relationship between two variables
• What does a zero correlation imply about the hypothesis of a relationship?

  The hypothesis of a relationship is rejected
• What are the three types of correlation between variables?

  Positive, negative, and zero correlations
• What conclusion can be drawn in cases of no correlation?

  No conclusion as no relationship was expected
• How do variables behave in zero correlation?

  They don't consistently increase or decrease
• What are the characteristics of positive correlation?

  • Direction: Upward
  • Scatter Plot Points: Lower left to upper right
  • Coefficient Value: $0 < r \leq 1$
• What would a scatter diagram of zero correlation look like?

  Points appear randomly scattered
• How does shoe size relate to reading habits?

  Shoe size does not influence reading habits
• What would a line of best fit look like in a scatter diagram with zero correlation?

  A horizontal line
• What does zero correlation in a scatter diagram indicate?

  No discernible pattern among points
• What are the characteristics of zero correlation?

  • Direction: Random
  • Scatter Plot Points: Scattered with no pattern
  • Coefficient Value: $r =$$0$
• What does a scatter diagram indicate about the relationship between two variables?

  It shows the presence or absence of a trend
• How does average daily temperature relate to the number of people wearing scarves?

  Scarves may be worn for style, not temperature
• How do daily ice cream sales relate to the number of rainy days?

  Ice cream sales aren't affected by rain frequency
• What are the characteristics of negative correlation?

  • Direction: Downward
  • Scatter Plot Points: Upper left to lower right
  • Coefficient Value: $- 1 \leq r < 0$
• What does the distribution of points around the horizontal line in the rightmost graph indicate?

  No relationship between the variables