An investigation of environmental causes of disease collected data on the annual mortality rate (deaths per 100,000) for males in 20 large towns in a region. Also, the water hardness was recorded as the calcium concentration (parts per million or ppm) in the drinking water. The scatterplot and the regression analysis of the relationship between mortality and calcium concentration, where the dependent variable is Mortality, are shown below. Complete parts a through d. A. H0: ?1 = 0 vs. HA: ?1 < 0 B. H0: ?1 ? 0 vs. HA: ?1 = 0 C. H0: ?1 = 0 vs. HA: ?1 > 0 D. H0: ?1 = 0 vs. HA: ?1 ? 0 b) Assuming the assumptions for regression inference are met, what do you conclude at the 0.05 level of significance? What is the value of the test statistic? The test statistic is -1.774. (Round to three decimal places as needed.) What is the P-value? .0930 (Round to four decimal places as needed.) What is your conclusion? Fail to reject the null hypothesis. The data fail to provide sufficient evidence to conclude that the slope of the associa zero. c) Create a 95% confidence interval for the slope of the true line relating calcium concentration and mortality. The 95% confidence interval is ( , ). (Round to two decimal places as needed.) More Info Variable Coeff SE(Coeff) Intercept 1678.16 75.53 Calcium -2.82 1.59 R squared = 14.9% s = 216.98 with 20 - 2 = 18 degrees of freedom
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The formula for SEb1 is s / sqrt(SSX), where s is the standard deviation of the residuals and SSX is the sum of squares for the x-variable (calcium concentration). However, we are not given enough information to calculate SSX in this problem. Show more…
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