Question

the graph shows the number of people taking a hiking track on 14 different days and the temperature on those days. temperature vs. number of people taking a hiking track scatter plot which of the following best correctly describe the data a. the data shows a mode of 70 degrees. b. the data shows a negative linear relationship. c. the data shows a positive linear relationship. d. the data shows that as the temperature of the track increases, more people hike. e. the data shows that the temperature of the hiking track depends on the number of people who hike.

Explanation:

To solve this, we analyze each option based on the scatter plot (Temperature vs. Number of People Hiking):

Analyzing Options:

• Option A: A “clustering at 70 degrees” would mean most points are near 70°F. The plot doesn’t show this (points are spread, not clustered at 70). Eliminate A.
• Option B: A “negative linear relationship” means as temperature increases, number of hikers decreases. The plot shows the opposite (hikers increase with temperature). Eliminate B.
• Option C: A “positive linear relationship” means as temperature increases, number of hikers increases. The scatter plot’s trend (points rising from left to right) confirms this. This is correct.
• Option D: “At 0°F, 200 people hike” – 0°F is far left, and the y - axis (hikers) at 0°F is near 0, not 200. Eliminate D.
• Option E: “Temperature depends on number of hikers” – Temperature is the independent variable (x - axis), hikers depend on temperature (not vice versa). Eliminate E.

The scatter plot (Temperature vs. Hikers) has a rising trend (as temperature increases, number of hikers increases), indicating a positive linear relationship. Other options are incorrect (e.g., no clustering at 70, negative trend is wrong, 0°F - 200 hikers is false, and causation direction is reversed).

Answer:

C. The data shows a positive linear relationship.