Do less agreeable Facebook users tend to spend more time on Facebook? A study (Ivcevic and Ambady, 2013) aimed to investigate various facets of use of the social networking website Facebook. Previous research suggested that individuals with poorer face-to-face social skills may find internet-based social platforms less daunting, so as part of the study Ivcevic and Ambady investigated whether an individual's volume of Facebook use was associated with levels of "agreeableness". The subjects were 99 university students who all had a Facebook page. The subjects agreed to allowing the content of their Facebook pages to be downloaded on six separate occasions over a three-week period. As part of the data gathered on each subject, each of the 99 were individually rated by a selected friend on an "agreeableness" scale (based on average ratings on a questionnaire where all responses were on a Likert scale), with 1 being "low" and 5 "high". We consider here the relationship between "friend reported" agreeableness and the number of words the subjects posted on their Facebook pages per day, as measured by an average word count over a subset of the six days. Part a) Which of the following is most likely to be the correlation between the two variables above? A. -0.3 B. -0.05 C. -0.9 D. 0.5 E. 0 Part b) If a linear model is fitted to the data above by least squares, the estimate of the slope parameter is -12.503 and the estimate of the intercept is 73.336. The standard error of the estimate of the slope coefficient was found to be 2.032. Provide a 95% confidence interval for the underlying slope parameter, giving your bounds to 3 decimal places. Lower bound: Upper bound: Part c) If testing the null hypothesis that the volume of FaceBook activity (as measured by mean daily word counts on updates) does not depend linearly on agreeableness, what would be your test statistic (to 3 decimal places)?
Do less agreeable Facebook users tend to spend more time on Facebook? A study (Ivcevic and Ambady, 2013) aimed to investigate various facets of use of the social networking website Facebook. Previous research suggested that individuals with poorer face-to-face social skills may find internet-based social platforms less daunting, so as part of the study Ivcevic and Ambady investigated whether an individual's volume of Facebook use was associated with levels of "agreeableness". The subjects were 99 university students who all had a Facebook page. The subjects agreed to allowing the content of their Facebook pages to be downloaded on six separate occasions over a three-week period. As part of the data gathered on each subject, each of the 99 were individually rated by a selected friend on an "agreeableness" scale (based on average ratings on a questionnaire where all responses were on a Likert scale), with 1 being "low" and 5 "high". We consider here the relationship between "friend reported" agreeableness and the number of words the subjects posted on their Facebook pages per day, as measured by an average word count over a subset of the six days.
Part a)
Which of the following is most likely to be the
A. -0.3
B. -0.05
C. -0.9
D. 0.5
E. 0
Part b)
If a linear model is fitted to the data above by least squares, the estimate of the slope parameter is -12.503 and the estimate of the intercept is 73.336. The standard error of the estimate of the slope coefficient was found to be 2.032. Provide a 95% confidence interval for the underlying slope parameter, giving your bounds to 3 decimal places.
Lower bound:
Upper bound:
Part c)
If testing the null hypothesis that the volume of FaceBook activity (as measured by mean daily word counts on updates) does not depend linearly on agreeableness, what would be your test statistic (to 3 decimal places)?
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