The reductiоnist аpprоаch thаt the whоle food represents the sum of its parts has flaws because it does not take into consideration
Levels оf cаrbоn diоxide (CO2) in the аtmosphere аre rising rapidly, far above any levels ever before recorded. Levels were around 278 parts per million in 1800, before the Industrial Age, and had never, in the hundreds of thousands of years before that, gone above 300 ppm. Levels are now over 400 ppm. The table below shows the rapid rise of CO2 concentrations over the 55 years from 1960–2015, also available in CarbonDioxide.1 We can use this information to predict CO2 levels in different years. (14) 1Dr. Pieter Tans, NOAA/ESRL, http://www.esrl.noaa.gov/gmd/ccgg/trends/. Values recorded at the Mauna Loa Observatory in Hawaii. Concentration of carbon dioxide in the atmosphere Year CO2 1960 316.91 1956 320.04 1970 325.68 1975 331.11 1980 338.75 1985 346.12 1990 354.39 1995 360.82 2000 369.55 2005 379.80 2010 389.90 2015 400.83 Click here for the dataset associated with this question. Use the 3-e version of the dataset. If using StatKey, the data needed is preloaded in the drop-down menu in the upper left corner. Click here to access StatKey. (a) What is the explanatory variable? What is the response variable? Select answer 1). CO2 concentration is the explanatory variable and Year is the response variable. 2). Year is the explanatory variable and CO2 concentration is the response variable. (b) Use technology to find the correlation between year and CO2 levels. Round your answer to three decimal places. r =___________ (c) Use technology to calculate the regression line to predict CO2 from year. Round your answer for the intercept to one decimal place and your answer for the slope to three decimal places. C O ^ 2 = _ _ _ _ _ _ _ _ _ _ _ _ _ ( y e a r ) (d) Interpret the slope of the regression line, in terms of carbon dioxide concentrations. Select answer from the options below 1). The slope tells the predicted number of years for the CO2 level to go up by that amount. 2). The slope tells the predicted number of years for the CO2 level to go up by one. 3). The slope tells the predicted change in CO2 level one year later. 4). The slope tells the predicted CO2 level one year later. (e) What is the intercept of the line? Round your answer to one decimal place. The intercept is _____________ . Does it make sense in context? Yes or No _____ (f) Use the regression line to predict the CO2 level in 2003. Use rounded slope and the intercept from part (c), then round your answer to one decimal place. CO2 level in 2003 = __________________ Use the regression line to predict the CO2 level in 2025. Use rounded slope and the intercept from part (c), then round your answer to one decimal place. CO2 level in 2025 = _______________________ (g) Find the residual for 2010. Use rounded slope and the intercept from part (c), then round your answer to two decimal places. Residual for 2010 = ______________________
Accоrding Mаyо clinic website, “chоlesterol is а wаxy substance found in your blood. Your body needs cholesterol to build healthy cells, but high levels of cholesterol can increase your risk of heart disease. With high cholesterol, you can develop fatty deposits in your blood vessels. Eventually, these deposits grow, making it difficult for enough blood to flow through your arteries. Sometimes, those deposits can break suddenly and form a clot that causes a heart attack or stroke.” Moreover, according to the Center for Disease Control (CDC), the normal cholesterol level for US adults is 199 mg/dL. However, there is a concern that average cholesterol level in all heart-attack patients may actually be more than the normal cholesterol level for US adults, and we have been asked to investigate. Here are the cholesterol levels (measured in mg/dL) for 30 heart-attack patients, and as well as the its summary statistics, and dot plot . 142 221 236 276 288 160 224 242 278 288 186 226 244 280 294 206 229 266 280 310 210 234 270 282 318 220 236 272 282 360 Summary Statistics n mean St. Dev Q1 med Q3 30 252 46.63 224.5 255 281.5 Dotplot of Chloesterol Levels for Sample Data.png a. In the space below, draw a boxplot for this dataset. Chloesterol Levels (mg dL).png b. In order for us to use this sample of 30 heart-attack patients to make inferences about the whole population of heart-attack patients, what assumption must we make regarding the sample and how it was obtained? What risk do we run in performing any inference about the population of interest if this assumption is not met? _____ c. Assuming that the sampling was done properly, name two ways in which the summary information and graphs above suggest that the population average cholesterol level might be more than 199 mg/dL? _____ d. Based on our analysis of our sample data, we are asked to perform a formal hypothesis test (test of significance) to examine if the average cholesterol level of all heart-attack patients may actually be more than 199 mg/dL. Develop the correct null and alternative hypotheses using standard statistics symbols, using words, or using both. ______ e. Based on the context of the question we are investigating and the nature of our sample data: 1). Choose an appropriate test procedure and list that procedure here.___ 2). State any assumptions or conditions regarding your sample and/or the population that are necessary for the test procedure you have chosen. ____ 3). Compute the correct test statistic value and record that value here to 3 decimal places. 4). Compute the correct p-value based on your hypotheses and the test statistic to 7 decimal places. _______ 5). Using a significance level of 5%, state clearly if you are rejecting the null hypothesis or failing to reject the null hypothesis. ___________ e. A journalist is writing an article about the results of your investigation and has asked you for a one or two sentence quote to include in the article. The journalist asks “What was the purpose of the investigation? What did you conclude? Keep in mind that our readers probably never took a statistics course.” In the space below, write one or two sentences that answer both of the journalist’s questions in a way that is easily understood by the general public AND is consistent with your work in parts 4) and 5).