Chapter 2: Problem 52
Draw any dotplot to show a dataset that is Clearly skewed to the right.
Chapter 2: Problem 52
Draw any dotplot to show a dataset that is Clearly skewed to the right.
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Get started for freeWe use data from HollywoodMovies introduced in Data 2.7 on page \(95 .\) The dataset includes information on all movies to come out of Hollywood between 2007 and 2013 . The variable AudienceScore in the dataset HollywoodMovies gives audience scores (on a scale from 1 to 100 ) from the Rotten Tomatoes website. The five number summary of these scores is (19,49,61,74,96) . Are there any outliers in these scores, according to the \(I Q R\) method? How bad would an average audience score rating have to be on Rotten Tomatoes to qualify as a low outlier?
Does pre-season success indicate regular season success in the US National Football League? We looked at the number of preseason wins and regular season wins for all 32 NFL teams over a 10 -year span. (a) What would a positive association imply about the relationship between pre-season and regular season success in the NFL? What would a negative association imply? (b) The correlation between these two variables is \(r=0.067\). What does this correlation tell you about the strength of a linear relationship between these two variables?
When honeybee scouts find a food source or a nice site for a new home, they communicate the location to the rest of the swarm by doing a "waggle dance." 74 They point in the direction of the site and dance longer for sites farther away. The rest of the bees use the duration of the dance to predict distance to the site. Table 2.32 Duration of \(a\) honeybee waggle dance to indicate distance to the source $$\begin{array}{cc} \hline \text { Distance } & \text { Duration } \\ \hline 200 & 0.40 \\\250 & 0.45 \\ 500 & 0.95 \\\950 & 1.30 \\ 1950 & 2.00 \\\3500 & 3.10 \\\4300 & 4.10 \\\\\hline\end{array}$$ Table 2.32 shows the distance, in meters, and the duration of the dance, in seconds, for seven honeybee scouts. \(^{75}\) This information is also given in HoneybeeWaggle. (a) Which is the explanatory variable? Which is the response variable? (b) Figure 2.70 shows a scatterplot of the data. Does there appear to be a linear trend in the data? If so, is it positive or negative? (c) Use technology to find the correlation between the two variables. (d) Use technology to find the regression line to predict distance from duration. (e) Interpret the slope of the line in context. (f) Predict the distance to the site if a honeybee does a waggle dance lasting 1 second. Lasting 3 seconds.
Use technology to find the regression line to predict \(Y\) from \(X\). $$\begin{array}{llllll} \hline X & 3 & 5 & 2 & 7 & 6 \\\Y & 1 & 2 & 1.5 & 3 & 2.5 \\ \hline\end{array}$$
Examine issues of location and spread for boxplots. In each case, draw sideby- side boxplots of the datasets on the same scale. There are many possible answers. One dataset has median 50, interquartile range 20 , and range 40 . A second dataset has median 50, interquartile range 50 , and range 100 . A third dataset has median 50 , interquartile range 50 , and range 60 .
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