Question

taller and shorter students liked all colors equally, with no trend. exercise gains increased rapidly at first, then slowed over time, forming a curve. ice cream sales stayed low until 70°f, rose quickly between 70 - 90°f, then leveled off. shoe size and math scores showed no clear pattern. students who played more

Explanation:

• Taller and shorter students liked all colors equally, with no trend: There is no relationship between height and color preference, so it is "No Association".
• Shoe size and math scores showed no clear pattern: There is no connection between shoe size and math scores, so it is "No Association".
• Ice cream sales stayed low until \(70^{\circ}F\), rose quickly between \(70 - 90^{\circ}F\), then leveled off: The relationship between temperature and ice - cream sales is not a simple linear one. As the temperature changes, the sales change in a non - linear way (first low, then a rapid increase, then leveling off), so it is "Nonlinear Association".
• Exercise gains increased rapidly at first, then slowed over time, forming a curve: The relationship between exercise time and exercise gains is not linear. It has a curved pattern (rapid increase at first, then slow increase), so it is "Nonlinear Association".
• Students who played more video games tended to have lower grades: There is a relationship (as playing more video games is associated with lower grades), and if we assume a somewhat consistent trend (even if it's not perfectly linear in a strict mathematical sense but shows a general direction), we can consider it a "Weak Association" (assuming it's not a very strong or perfect relationship).

Answer:

• Taller and shorter students liked all colors equally, with no trend: No Association
• Shoe size and math scores showed no clear pattern: No Association
• Ice cream sales stayed low until \(70^{\circ}F\), rose quickly between \(70 - 90^{\circ}F\), then leveled off: Nonlinear Association
• Exercise gains increased rapidly at first, then slowed over time, forming a curve: Nonlinear Association
• Students who played more video games tended to have lower grades: Weak Association