Question

1. which data would most likely show a negative correlation when graphed on a scatter p

a. the outside temperature and the number of people wearing gloves
c. the number of visitors at an amus park and the length of the lines for
b. the distance a student lives from school and the amount of time it takes to get to school
d. a student’s height and grade point average

1. what type of correlation does the scatter plot below represent?

scatter plot with x-axis: number of students, y-axis: minutes of homework
a. weak positive correlation
b. weak negative correlation
c. strong positive correlation
d. strong negative correlation

1. which straight line best fits the data for the scatter plot?

two scatter plots with lines, x and y axes with grid

Explanation:

Question 40

• Option a: As outside temperature increases, the number of people wearing gloves decreases (negative correlation).
• Option b: As distance from school increases, time to get to school usually increases (positive correlation).
• Option c: More visitors at an amusement park likely mean longer lines (positive correlation).
• Option d: Student’s height and grade point average are unrelated (no correlation).

So the data with negative correlation is option a.

In the scatter plot, as the number of students (x - axis) increases, the minutes of homework (y - axis) also increases. The points show a clear upward trend, and the relationship is strong (points are close to a straight line). So it is a strong positive correlation.

For a scatter plot with a positive correlation (as x increases, y increases), the best - fit line should have a positive slope and pass through the middle of the data points. The line that follows the upward trend of the data (from lower left to upper right) and is close to most data points is the one with a positive slope, fitting the positive correlation pattern of the data. (Since the exact lines are not fully labeled, but based on the scatter plot's trend - upward, the best - fit line should have a positive slope and align with the data's distribution.)

Answer:

a. The outside temperature and the number of people wearing gloves

Question 41