The graph shows the high temperatures recorded in City X, City Y, and City Z over the same 10-day period....

Owning The Dataset

Table 1: Text Analysis

Table 2: Chart Analysis

Key Insights

Cities Y and Z have highly similar temperature trends with notable volatility, both showing sharp drops and rises—particularly a dramatic decrease on Day 3—suggesting they may share similar weather conditions or may be geographically close. City X, in contrast, maintains more stable and moderate temperatures, especially after Day 3. The shared sharp temperature drop on Day 3 across all cities may indicate a widespread weather event impacting the entire area. Of all the cities, City Z's temperatures changed the least between Day 1 and Day 10, while City Y experienced the largest decrease over the period.

Step-by-Step Solution

Question 1: Temperature Change from Day 1 to Day 10

Complete Statement:

The Day 10 temperature was nearest to the Day 1 temperature in City [BLANK 1].

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: Day 10 temperature was nearest to the Day 1 temperature
  • Meaning: We are asked to find which city had the smallest temperature change between Day 1 and Day 10.
  • Relation to Chart: We need to look at the chart and determine, for each city, the temperature on Day 1 and Day 10, then compare their differences.
  • Important Implications: Whichever city has the smallest difference is the answer, regardless of whether their temperatures went up or down.
• Statement Breakdown 2:
  • Key Phrase: in City
  • Meaning: We have to evaluate this for each of the cities (X, Y, and Z).
  • Relation to Chart: Each city is represented by its own line in the graph, so we compare all three.
  • Important Implications: We must check all options, not just assume from first glance.
• What is needed: Which city (X, Y, or Z) has the smallest absolute difference in temperature between Day 1 and Day 10.

Solution:

• Condensed Solution Implementation:
  Read the starting (Day 1) and ending (Day 10) temperatures for each city from the graph, then compare the magnitude of their difference.
• Necessary Data points:
  City X: Day 1 ≈ \\(8°\mathrm{C}\\), Day 10 ≈ \\(12°\mathrm{C}\\). City Y: Day 1 ≈ \\(14°\mathrm{C}\\), Day 10 ≈ \\(7°\mathrm{C}\\). City Z: Day 1 ≈ \\(11°\mathrm{C}\\), Day 10 ≈ \\(8°\mathrm{C}\\).
• Calculations Estimations:
  City X: \\(|12 - 8| = 4°\mathrm{C}\\). City Y: \\(|7 - 14| = 7°\mathrm{C}\\). City Z: \\(|8 - 11| = 3°\mathrm{C}\\).
• Comparison to Answer Choices:
  City Z has the smallest temperature change (\\(3°\mathrm{C}\\)), followed by City X (\\(4°\mathrm{C}\\)), then City Y (\\(7°\mathrm{C}\\)).

FINAL ANSWER Blank 1: Z

Question 2: Cities in the Same Region

Complete Statement:

The graph most strongly supports the hypothesis that Cities [BLANK 2] were in the same region.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: most strongly supports the hypothesis
  • Meaning: We want the best-supported conclusion based on the data, not just any possible one.
  • Relation to Chart: Look for evidence in the chart that two cities have similar temperature patterns.
• Statement Breakdown 2:
  • Key Phrase: were in the same region
  • Meaning: Cities in the same region usually experience the same weather patterns, so their temperature lines should move together.
  • Relation to Chart: Identify which pair of cities have temperature lines that rise and fall in sync over the 10-day period.
• What is needed: Which pair of cities shows the most similar temperature patterns throughout the 10 days.

Solution:

• Condensed Solution Implementation:
  Visually compare the temperature lines for each city pair to see which two are most similar in shape and fluctuation.
• Necessary Data points:
  Y and Z: both drop sharply to 2-3°C on Day 3 and recover together. X's line is smoother and less volatile compared to Y and Z.
• Calculations Estimations:
  The strong parallel movement of Y and Z, especially dramatic drops and rises together (for example, on Day 3 and Days 4-6), shows their similarity.
• Comparison to Answer Choices:
  Y and Z are most similar throughout. X is more stable and appears separate.

FINAL ANSWER Blank 2: Y and Z

Summary

Solving both questions involves comparing the cities' temperature lines on the chart: for Blank 1, City Z has the smallest change between Day 1 and Day 10; for Blank 2, Cities Y and Z have the most similar patterns, especially during dramatic weather events, indicating they are likely in the same region.

Question Independence Analysis

These two blanks are independent; solving Blank 1 (which looks at single-city change between two days) does not require information or answers from Blank 2 (which compares city pairs' patterns over the whole period), and vice versa.