US Death Rates Due to Heart Disease (t) years (R) Death Rate (Number of Deaths per 100,000) Years  death rate  1960 559 1970 493 1980 412 1990 322 2000 258 Heart Disease Rates The death rate from heart disease in the US for various years is shown in the table. Let R be the death rate (number of deaths per 100,000) from heart disease for the years since 1960 a. Create a scatterplot (in the space above) of the data on the given axes. Draw a line that comes close to the points in your scatterplot. b. Perform a linear regression to find the prediction equation. (be sure to use ) Draw that line on your graph. c. What is the correlation coefficient value? Briefly describe what that value means

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Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. 203 x days y km/100 72 76 32 14.7 94 11.7 19.5 5.3 35.6 (a) Verify that Ex = 477, Ey = 86.8, Ex? = 62,029, Ey2 = 2028.68, Exy = 11036.6, and r= 0.93853. Ex Ey Ex? Ey2| Exy (b) Use a 1% level of significance to test the claim p> 0. (Use 2 decimal places.) critical t Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. Reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is insufficient evidence that p > 0. O…

C. Describe the four characteristics of association

A tank is leaking at an increasing rate as indicated by the data below. Use the table to answer the following questions. Time (hr) Leakage (gal/hr) 1 30 2 3 7 8 720 4 65 150 240 290 410 550 650 An upper limit estimate for the amount of material leaked after 4 hours is (Simplify your answer.) gal. A lower limit estimate for the amount of material leaked after 4 hours is gal. (Simplify your answer.) An upper limit estimate for the amount of material leaked after 8 hours is (Simplify your answer.) gal. A lower limit estimate for the amount of material leaked after 8 hours is gal. (Simplify your answer.) If the leakage occurs at a constant rate of 720 gal/hr after 8 hours and the tank initially held 20,000 gallons of material, an estimate for the least amount of time for the tank to empty is hr. (Round to the nearest tenth as needed.) If the leakage occurs at a constant rate of 720 gal/hr after 8 hours and the tank initially held 20,000 gallons of material, an estimate for the most amount…

To compute a student's Grade Point Average (GPA) for a term, the student's grades for each course are weighted by the number of credits for the course. Suppose a student had these grades: 4.0 in a 5 credit Math course 2.5 in a 3 credit Music course 2.7 in a 5 credit Chemistry course 3.3 in a 6 credit Journalism course What is the student's GPA for that term? Round to two decimal places Student's GPA =

The numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 1988 1992 1996 2000 2005 2007 350 138 33 3 3.2 1.3 Let f(t) be the number of polio cases (in thousands) t years after 1980. Copy the data to Desmos to draw a scatterplot of the data. Make sure to adjust the years so they represent years after 1980. a) Is it better to model the data with a linear or with an exponential model? [Select an answer b) Use regression in Desmos to find an appropriate model for f. Make sure to check Log mode in the parameter window in Desmos if you are fitting an exponential model. f(t) Round the coefficients to 4 decimal places. Hint: Use the variablet from the drop down menu when entering the equation. Do not just type in t. c) Predict the number of polio cases in 2013. d) Find the approximate half-life of the number of polio cases. Round the answer to one decimal place. years

The table below shows the relationship between the altitude of the atmosphere and corresponding temperature. Altitude (in feet) 25,000 20,000 15,580 12,902 Temperature (in degree Celsius) 10 16 25 30 What inference can be made from the above data?   A.The temperature of the atmosphere decreases with the increase in the altitude. B.The temperature of the atmosphere decreases with the decrease in the altitude. C.The temperature of the atmosphere increases with the increase in the altitude. D.ANo inference can be made from the given data.

Data in the table comes from the NASA Global Climate Change website. It gives the average globaltemperature, in Celsius, for the given year. Use both rows for your calculations. For this problem, youwill see how well year correlates with the average temperature. Let ? be the number of years since1984 and ? be the average global temperature in degrees Celsius.Year 1984 1986 1988 1990 1992 1994 1996 1998 2000Temp 0.16 0.18 0.38 0.45 0.22 0.31 0.33 0.61 0.40Year 2002 2004 2006 2008 2010 2012 2014 2016 2018Temp 0.63 0.54 0.64 0.54 0.72 0.64 0.75 1.02 0.85a. Make a scatterplot of the data. Being sure to clearly label each axis. Keep in mind howeach variable is defined. Based on this scatterplot, is a linear model reasonable for this data set?Briefly explain.b. Determine the correlation coefficient for this data. Interpret this value in context.c. Determine the coefficient of determination for this data. Interpret this value incontext.d.State the regression line for the data.e. What does the…

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