Researchers used the volume of chatter on a Web site to fore…

Researchers used the volume of chatter on a Web site to forecast movie box office revenue. Opening weekend box office revenue data​ (in millions of​ dollars) were collected for a sample of 31 movies. In addition to each​ movie’s mention rate (X1)​ defined as the average number of mentions referring to the movie per hour 1 week prior to the​ movie’s release, the researchers also computed the ratio of positive to negative mentions (X2) ​ called the​ PN-ratio.    The equation of regression is:    Which β in the​ model, represents the change in revenue​ (y) for every​ 1-mention increase in the mention rate ​(x1​), holding​ PN-ratio (x2​) constant?  

Alex, the website designer of a restaurant business, is exam…

Alex, the website designer of a restaurant business, is examining repeated complaints regarding slow loading times of the school website. The site is hosted on the cloud, and the users experiencing the problem are using different browsers. What could be the reason for the website to load slowly?

Suppose you wish to analyze the proportion of audits that co…

Suppose you wish to analyze the proportion of audits that contain at least one finding.  A random sample of 200 audits found that 18 of the audits had at least one finding.  Which of the following is closest to the 99% confidence interval for the true proportion of all audits that contain at least one finding?

We are going to explore  overall happiness scores of countri…

We are going to explore  overall happiness scores of countries around the world, taking a variety of factors into consideration. The Happiness Score is knowsn to be associated with GDP per capita, social support, healthy life expectancy, freedom to make choices, generosity, and absence of corruption. The data set analyzed is the most recent World Happiness Report from 2019, which uses data from the life evaluation questions asked on the Gallup World Poll. This data continues to be recognized as an indicator for policy-making decisions within  governments and civil society around the world. Leading experts in fields such as economics, data analysis, psychology, and more have expressed how measurements of happiness can effectively be used to determine the progress of a nation.  Below we explore statistical association between Happiness score and various indicators of Happiness. The output from Linear Regression model is shown below. The value of statistic that captures % of variation in the dependent variable explained by the linear combination of independent variables is: