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Air quality is determined by measuring particles of foreign matter in the air, and categorizing these particles by substance and size. PM2.5 refers to particles with a diameter of less than 2.5 micrometers, which can be inhaled into the lungs and sometimes enter the circulatory system. "Ambient" in this case means "in the air around us". The relationship between death rate (deaths per 100,000) and ambient pollution for a selection of countries in various years is summarized in the output below. Deaths from ambient particulate Residual Plot . . matter pollution [per 100,000) Histogram ' ''dua's ' g- 100 ~ 100 $ .3 S a so 0 s 0o 0 E o o o o -20 a .a...130 gggogggg: .20 30 so 130 -l00 ' SUMMARV OUTPUT Regression Statistics Multiple R 0.74418 R Square 0.55380 Observations 179 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 99.096 Upper 99.0% Intercept 20.5980 4.05604 5078345 95923507 12.5935 28.6024 10.0365 31.1595 PM2.5 air pollution 1.68387 0.11360 14.82200 7.6957E33 1.45968 1.90807 1.38805 1.97969 1. Describe the scatterplot pattern. Curved, negative, strong. Approximately linear, positive, weak. 0 Approximately linear, positive, strong. Curved, positive, moderate. I 2. The equation of the least squares regression line is 9: 1.68387x + 20598 . Which of these is an appropriate interpretation of the slope? For each unit increase in death rate, the air pollution increases 1.68387 ppb. For each unit increase in air pollution, the death rate increases 20.598 per 100.000. 0 For each unit increase in air pollution, the death rate increases 1.68387 per 100,000. For each unit increase in death rate, the air pollution increases 20.598 ppb. v 3. nterpret r"2. The death rate increases 0.554 for each unit increase in PM2.5. 74.4 percent of the variation in death rate is explained by the variation in PM2.5 O 55.4 percent of the variation in death rate is explained by the variation in PM2.5 The death rate increases 0.744 for each unit increase in PM2.5. J 4. Find the predicted death rate if the PM2.5 is 100. 154 deaths per 100,000 0 189 deaths per 100,000 523 deaths per 100,000 56 deaths per 100,000 sf 5. What alternative hypothesis are we testing if we wish to determine if higher PM2.5 is signicantly related to higher death rate? The relationship between death rate and PM2.5 is zero. 0 The relationship between death rate and PM2.5 is positive . The relationship between death rate and PM2.5 is negative. The relationship between death rate and PM2.5 is nonzero, \\f 6. The test statistic value is t = 14.8 and the p-value is p = 3.848x10^(-33). What is an appropriate conclusion for this test? Reject HO. There is significant evidence that higher death rate is significantly related to higher PM2.5. Reject HO. There is not significant evidence that higher death rate is significantly related to higher PM2.5. Fail to reject HO. There is significant evidence that higher death rate is significantly related to higher PM2.5. O Fail to reject HO. There is not significant evidence that higher death rate is significantly related to higher PM2.5

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