QuestionStudents were surveyed on video game time and test averages. Is the correlation negative or weak? True/False statements provided.
Studdy Solution
STEP 1
Assumptions1. The variables are time spent playing games (x) and test averages (y).
. The equation of the best fit line is .
3. The correlation coefficient is .
STEP 2
Statement A The variables are time spent playing games and test averages.
This statement is true. The variables in this problem are indeed time spent playing games (x) and test averages (y), as mentioned in the assumptions.
STEP 3
Statement B The variables have a negative correlation.
This statement is true. The correlation coefficient is negative (-0.89), which indicates a negative correlation. This means that as the time spent playing games increases, the test averages decrease.
STEP 4
Statement C The variables have a weak correlation.
This statement is false. The correlation coefficient is -0.89, which is close to -1. This indicates a strong negative correlation, not a weak correlation.
STEP 5
Statement D The model predicts that student who does not play video games have a test average of about2.82.
This statement is false. The y-intercept of the best fit line is87.50, not2.82. The y-intercept represents the predicted test average for a student who does not play video games (when x=0). Therefore, the model predicts that a student who does not play video games has a test average of about87.50, not2.82.
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