Question

suppose the scatter plot shows the results of a survey of 46 randomly selected males ages 24 to 35. using age as the explanatory variable, choose the appropriate description for the graph. explain your reasoning. (a) age and body temperature (b) age and balance on student loans (c) age and income (d) age and height the response variable is because you would expect this variable and age to have no correlation and high variation for adult males. body temperature income height balance on student loans

Explanation:

The scatter plot shows age (24-36) on the y-axis and a response variable (60-80 units) on the x-axis. For adult males in this age range:

• (a) Body temperature is stable (no correlation with age, low variation) → does not match high variation.
• (b) Balance on student loans: Younger adults (24-30) may have higher balances (recent graduates), older adults (32-36) may pay down loans → potential negative trend, but variation is not clearly "high" uniformly.
• (c) Income: Income typically increases with age in early careers (24-36) → positive trend, but the plot shows no clear upward/downward pattern.
• (d) Height: Adult males stop growing by 24, so height has no correlation with age (24-36) but has natural high variation (60-80 inches is reasonable height range). This matches the plot’s scattered points (no correlation) and high variation.

Answer:

(d) Age and height