1. Here are some interesting (and imaginary) facts about cockroaches: The average number of roaches per home in the United States is 57; s = 12. The average number of packages of roach killer purchased per family per year is 4.2; s = 1.1. The correlation between roaches in the home and roach killer bought is .5.
(a) The Cleanly family bought 12 packages of roach killer last year. How many roaches would you predict they have in their home?
(b) The Spic-Spans have 83 roaches at their house. What would be your prediction of how many boxes of roach killer they bought?
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There are a variety of statistics-related problems, covering correlation, predictions, significance levels, null hypothesis, regression equations, and standard error.