which data value would cause the interpretation of the data set to be understated? (20, 1) (55, 6) (90, 2)…
which data value would cause the interpretation of the data set to be understated? (20, 1) (55, 6) (90, 2) (95, 8)
Answer
Explanation:
Step1: Analyze the trend
Looking at the scatter - plot, generally, as the outside temperature increases, the number of hours at the pool should increase (positive trend).
Step2: Check each data point
- For ((20,1)): At a low temperature of (20^{\circ}F), having 1 hour at the pool is somewhat in line with the idea that fewer hours are spent at the pool when it's cold.
- For ((55,6)): At (55^{\circ}F), 6 hours is in the range of values that follow the general upward trend as temperature increases.
- For ((90,2)): At a relatively high temperature of (90^{\circ}F), having only 2 hours at the pool goes against the positive trend (most other higher - temperature data points have higher hour values). This data point would make the relationship between temperature and hours at the pool seem weaker (understated) than it actually is for most of the data.
- For ((95,8)): At (95^{\circ}F), 8 hours is in line with the positive trend of more hours at the pool as temperature increases.
Answer:
((90,2))