11. When appropriate, refer to the StatCrunch analysis for this problem. It is desired to relate the weight of discarded plastic (in pounds) in a week by households to the size (number of people) of the household. A random sample of 8 households in a sub-division was selected and their size and the weight of discarded plastic were recorded. Row Plastic HouseSize 0.3 1.4 2.2 2. 3. 3 4. 2.8 2.2 1.8 0.8 3.1 A. Report the prediction equation relating the amount of discarded plastic to household size, and carefully interpret the intercept and slope in the context of the problem. Fted ine plot Plastic 25 21 B. Is the weight of discarded plastic linearly related to the household size? Test using a .01 level of significance. 1.5 05 C. Carefully interpret R-squared to assess the strength of the linear relationship. HouseSe D. If appropriate, approximate the mean weekly amount of discarded plastic among households with 8 members, using 95% confidence Correlation between Plastic and HouseSize is: 0.8449 (0.0083) E. Repeat part D for households with 4 members, using 95% confidence. ( Simple linear regression results: Dependent Variable: Plastic Independent Variable: HouseSize Plastic 0.25 +0.485 HouseSize Sample size: 8 R (correlation coefficient) - 0.845 R-sq -0.714

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