A student in an AP Statistics class decided to conduct a study to determine whether you could predict the number of followers a teen has on Instagram based on the number of people he or she is following. To do this, she randomly selected fifty students from her high school that had Instagram accounts and for each student recorded the number of people they were following and the number of followers they had. A scatterplot of the data is shown.
The regression line is
.
followers=-45.3+1.21(following)
-Based on the standardized statistic, is there strong evidence of an association between the number of followers and the number of people following an Instagram account?
A) No, since the mean of the null distribution is zero.
B) Yes, since the regression slope is positive.
C) Yes, since the standardized statistic is greater than 3.
D) Yes, since the correlation is positive.

Question

A student in an AP Statistics class decided to conduct a study to determine whether you could predict the number of followers a teen has on Instagram based on the number of people he or she is following. To do this, she randomly selected fifty students from her high school that had Instagram accounts and for each student recorded the number of people they were following and the number of followers they had. A scatterplot of the data is shown. 
The regression line is
 .
followers=-45.3+1.21(following) 
-Based on the standardized statistic, is there strong evidence of an association between the number of followers and the number of people following an Instagram account?
A) No, since the mean of the null distribution is zero. 
B) Yes, since the regression slope is positive. 
C) Yes, since the standardized statistic is greater than 3. 
D) Yes, since the correlation is positive.

Quizplus · Accepted Answer

A standardized statistic greater than 3 typically indicates strong evidence against the null hypothesis, suggesting a significant association between the variables.

A Student in an AP Statistics Class Decided to Conduct