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纠错
1.pngTest audiences screened five 3-minute previews of a certain movie. The movie contains both drama and comedy, but the previews were customized to show differing percentages of comedic and dramatic scenes (measured by screen time). The test audiences were asked, Do you think the preview is funny? and How likely are you to see the movie on the weekend it opens? The position of the center of each bubble indicates the percent of comedy (C) in the previews and the percent of test audience members who found the previews funny (F), and the greater the bubble’s size the greater the average reported likelihood (L) of their seeing the movie on the opening weekend.Select the option from each drop-down menu that creates the most accurate statement on the basis of the information provided.If the same previews were shown to other test audiences, could differ from the results shown.Let D equal the percent of drama in each preview. Assuming each preview is made up entirely of comedy and drama (such that C + D = 100), there is correlation between D and F.
正确答案: only F and L,a negative

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    涉及知识点概述
    1. 数据解读:理解图表中各元素(横纵坐标、气泡大小)代表的含义,以及变量之间的关系。 2. 相关性判断:判断两个变量之间是正相关、负相关还是无相关。 3. 样本与总体推断:考虑样本结果在其他样本中的适用性。 解析
    1. 对于第一个空,因为不同测试观众群体的喜好等可能不同,所以如果将相同预览展示给其他测试观众,观众认为预览有趣的比例(F)和平均表示首映周末观看电影可能性(L) 都可能与所示结果不同。 2. 对于第二个空,已知\(C + D=100\)(\(C\)是预览中喜剧的百分比,\(D\)是预览中戏剧的百分比),从图表看,\(C\)越高,\(F\)越高,那么\(D\)越高时,\(F\)越低,所以\(D\)和\(F\)是 相关。

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