Chapter 2: Problem 207
Use technology to find the regression line to predict \(Y\) from \(X\). $$\begin{array}{rrrrrrrrr} \hline X & 15 & 20 & 25 & 30 & 35 & 40 & 45 & 50 \\\Y & 532 & 466 & 478 & 320 & 303 & 349 & 275 & 221 \\\\\hline\end{array}$$
Chapter 2: Problem 207
Use technology to find the regression line to predict \(Y\) from \(X\). $$\begin{array}{rrrrrrrrr} \hline X & 15 & 20 & 25 & 30 & 35 & 40 & 45 & 50 \\\Y & 532 & 466 & 478 & 320 & 303 & 349 & 275 & 221 \\\\\hline\end{array}$$
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Get started for free2Does Sexual Frustration Increase the Desire for Alcohol? Apparently, sexual frustration increases the desire for alcohol, at least in fruit flies. Scientists \(^{35}\) randomly put 24 fruit flies into one of two situations. The 12 fruit flies in the "mating" group were allowed to mate freely with many available females eager to mate. The 12 in the "rejected" group were put with females that had already mated and thus rejected any courtship advances. After four days of either freely mating or constant rejection, the fruit flies spent three days with unlimited access to both normal fruit fly food and the same food soaked in alcohol. The percent of time each fly chose the alcoholic food was measured. The fruit flies that had freely mated chose the two types of food about equally often, choosing the alcohol variety on average \(47 \%\) of the time. The rejected males, however, showed a strong preference for the food soaked in alcohol, selecting it on average \(73 \%\) of the time. (The study was designed to study a chemical in the brain called neuropeptide that might play a role in addiction.) (a) Is this an experiment or an observational study? (b) What are the cases in this study? What are the variables? Which is the explanatory variable and which is the response variable? (c) We are interested in the difference in means, where the means measure the average percent preference for alcohol \((0.47\) and 0.73 in this case). Find the difference in means and give the correct notation for your answer, using the correct notation for a mean, subscripts to identify groups, and a minus sign. (d) Can we conclude that rejection increases a male fruit fly's desire for alcohol? Explain.
US Obesity Levels by State over Many Years Exercise 2.237 deals with some graphs showing information about the distribution of obesity rates in states over three different years. The website http://stateofobesity.org/adult- obesity/ shows similar graphs for a wider selection of years. Use the graphs at the website to answer the questions below. (a) What is the first year recorded in which the 15 \(19 \%\) category was needed, and how many states are in that category in that year? What is the first year the \(20-24 \%\) category was needed? The \(25-29 \%\) category? The \(30-34 \%\) category? The \(35 \%+\) category? (b) If you are in the US right now as you read this, what state are you in? In what obesity rate category did that state fall in \(1990 ?\) In what category is it in now? If you are not in the US right now as you read this, find out the current percent obese of the country you are in. Name a state (and year, if needed) which roughly matches that value.
Cloud Cover in San Francisco-Online The plots in Exercise 2.258 on cloud cover in San Francisco can be found online at weatherlines. zanarmstrong.com if you prefer Figure \(2.99(\mathrm{a})\) or weather.zanarmstrong.com if you prefer Figure \(2.99(\mathrm{~b}) .\) In the interactive display you can hover over points to get more information. You can also click on the map to change the city or the drop down menu to change the weather statistic that is plotted. Use the interactive plots at this website to answer the questions below. (a) In San Francisco, approximately what time of day has the highest percent cloud cover in August? (b) Which season tends to be the least windy for Chicago (the "Windy City")?
Online Cat Videos In Exercise 1.59 on page 28 , we introduced a study looking at the effect of watching cat videos on mood and energy. The authors asked participants how many cats they currently own and report 2.39 as the measure of center for this right-skewed distribution. (a) Is this measure of center the mean number of cats or the median number of cats? (Hint: Think about how the two numbers are calculated.) (b) Would we expect the mean number of cats to be greater than or less than the median?
Making Friends Online A survey conducted in March 2015 asked 1060 teens to estimate, on average, the number of friends they had made online. While \(43 \%\) had not made any friends online, a small number of the teens had made many friends online. (a) Do you expect the distribution of number of friends made online to be symmetric, skewed to the right, or skewed to the left? (b) Two measures of center for this distribution are 1 friend and 5.3 friends. \({ }^{31}\) Which is most likely to be the mean and which is most likely to be the median? Explain your reasoning.
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