Question

1. the table shows the monthly high temperature for austin, texas, in degrees fahrenheit over a 12 - month period

month temperature (°f)
1 90
2 99
3 98
4 99
5 104
6 108
7 109
8 110
9 112
10 100
11 91
12 90
what does the correlation coefficient for the data indicate about the strength of the linear association between the month and the temperature in austin?
options:
strong positive correlation
weak positive correlation
weak negative correlation
strong negative correlation
clear all

Explanation:

Step1: Observe data trend

As month number increases from 1 - 9, temperature generally increases. From 9 - 12, temperature decreases. But overall, there is an upward - trend from start to middle.

Step2: Determine correlation type

Since as the month number increases, the temperature has an overall increasing tendency first, the correlation is positive. Also, the relationship is not perfectly linear but has a noticeable upward pattern, so it is a weak positive correlation.

Answer:

Weak positive correlation