Question

select the correct answer from each drop-down menu.

a high school teacher recorded the number of hours each of his students spent on a social networking website in a particular week and related this with their scores on a math test they took at the end of the week. the data is represented in the scatter plot.

qualitatively evaluate the information in the scatter plot. an acceptable estimate for the graphs correlation coefficient could be choose an answer.
based on choose an answer conclude that the time students spent on the social networking website had a choose an answer effect on their performance on the test.

Explanation:

Analyze the scatter plot trend

The scatter plot shows a general downward trend: as the "Time Spent on Social Network" increases, the "Test Score" generally decreases. This indicates a negative linear association.

Estimate the correlation coefficient

The points are moderately scattered around a downward-sloping line, meaning the correlation is negative and moderate. Looking at the dropdown options visible in the image:

• The options for the first blank (correlation coefficient estimate) are likely negative values corresponding to the positive ones shown in the second dropdown overlay: \(-0.15\), \(-0.50\), \(-0.75\), \(-1.00\).
• Since the data points show a clear but moderately scattered negative trend, \(-0.50\) is the most reasonable estimate. It is not strong enough to be \(-0.75\) or \(-1.00\), nor is it nearly random (\(-0.15\)).

Determine the association and effect

• Based on this negative correlation coefficient, we can conclude that the time students spent on the social networking website had a negative effect on their performance on the test.

Answer:

Qualitatively evaluate the information in the scatter plot. An acceptable estimate for the graph's correlation coefficient could be <blank>-0.50</blank>.

Based on this, we can conclude that the time students spent on the social networking website had a <blank>negative</blank> effect on their performance on the test.