(x) to ad 3 Describe the relationship between X and Ymwo od shown by the scatterplot in the following d goy,[figure. Yb X sawas Scatterplot of Total Score vs. Putts 120 110- 100 90 Total Score 80 70 20 25 30 900 2 35 40 45 50 Putts
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- An individual’s income varies with his or her age. The following table shows the median income I of males of different age groups within the United States for 2012. For each age group, let the class midpoint represent theindependent variable, x. For the class “65 years and older,” we will assume that the class midpoint is 69.5. (a) Use a graphing utility to draw a scatter diagram of thedata. Comment on the type of relation that may existbetween the two variables.(b) Use a graphing utility to find the quadratic function ofbest fit that models the relation between age and medianincome.(c) Use the function found in part (b) to determine the age atwhich an individual can expect to earn the most income.(d) Use the function found in part (b) to predict the peakincome earned.(e) With a graphing utility, graph the quadratic function ofbest fit on the scatter diagram.iris is a built-in R data set (data frame). This data set contains gives the measurements in centimeters of the variables sepal length and width and petal length and width, respectively, for 50 flowers from each of 3 species of iris. The species are Iris setosa, versicolor, and virginica. We are interested in some descriptive statistics related to the Sepal.Width column of the data frame. We can access the data directly by using the assignment x <- iris$Sepal.Width (In R use ?iris for info on this dataset.)Remember: x <- iris$Sepal.Widtha.Calculate the sample median of x. b. Using the R quantile function, find the .80 quantile of x.(80th percentile) c. Calculate the interquartile range of x using R. d. Calculate the sample mean of x. e. Calculate a 4% trimmed mean for x. f. Calculate the sample variance of x. g. Calculate the sample standard deviation of x. h. What proportion of the x values are within 2.0 sample standard deviations from the sample mean i. Calculate the minimum…The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. The table gives body fat percentages for 16 athletes using each of these methods (a subset of the data given in a graph that appeared in the paper). For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete Ho: Md = 0 Ha: Ha 0 = 0 Ho: Md < 0 Ha: Md P-value = X-ray 4.75 7.00 9.25 12.00 5 17.25 6 29.50 7 5.50 8 6.00 9 8.00 10 8.50 11 9.25 12 11.00 13 12.00 14 14.00 15 17.00 16 18.00 = 0 1 2 3 4 USE SALT Ultrasound 4.75 4.00 9.00 11.75 17.00 27.75 6.50 6.75 8.75 9.75 9.50 12.00 12.25 15.75 18.00 18.50 Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = 0.534 0.000 X X State the conclusion in the problem context. We fail to reiect H.…
- You work for an insurance company and are studying the relationship between types of crashes and the vehicles involved. As part of your study, you randomly select 3632 vehicle crashes and organize the resulting data as shown in the contigency table. At α=0.01, can you conclude that the type of crash depends on the type of vehicle? Complete parts (a) through (d). Vehicle Type of crash Car Pickup Sport utility Single-vehicle 876 393 342 Multiple-vehicle 1143 475 403 Question content area bottom Part 1 (a) Identify the claim and state the null and alternative hypotheses. H0: The type of crash and the type of vehicle are . Ha: The type of crash and the type of vehicle are . (a) Identify the claim and state the null and alternative hypotheses. H0: The type of crash and the type of vehicle are Ha: The type of crash and the type of vehicle are . The alternative hypothesis is the claim. Part 2 (b) Determine the degrees of…The following table was generated from the sample data of 10 newborn babies regarding the weight of the mother at birth, the weight of the father at birth, and the weight of the baby at birth. The dependent variable is the weight of the baby, the first independent variable (x1) is the mother's weight, and the second independent variable (x2) is the father's weight. Coefficients Standard Eror t-Stat p-value Intercept 9.739264 1.337045 7.284173 0.000165 Mother's Weight -0.929448 0.137340 - 6.767476 0.000261 Father's Weight 0.717791 0.159475 4.500951 0.002795 Copy Data Step 2 of 2: Indicate if any of the independent variables could be eliminated at the 0.01 level of significance. Answer E Tables E Keypad Keyboard Shortcuts O x2 O Keep all variablesThe World Bank collects information on the fertility rate (children per woman) in the country and the life expectancy of a person (in years) in each country ('Life expectancy at,' 2013 and 'Fertility rate,' 2013). The data for 23 randomly selected countries for the year 2011 are in the table below. a) Since data were collected for variable(s), the correct graph to make is a .b) Make a scatterplot of X versus Y using technology. Use this graph to answer the part below. c) Which of the following is true about the relation between fertility rate and average life expectancy based on the graph above?
- The table gives heavy - metal nuclear waste (in thousands of metric tons) from spent reactor fuel now stored temporarily at reactor sites, awaiting permanent storage. Waste y Year x 1995 32 2000 42 2010 61 2020 76 Let x = 0 represent 1995, x = 5 represent 2000 (since 2000 - 1995 = 5), and so on. a) For 1995, the ordered pair is (0, 32). Write the ordered pair for the data for the other years given in the table. b) Plot the ordered pairs (x,y). Do the points lie approximately in a straight line? c) Use the ordered pairs (0, 32) and (25, 76) to find the equation of a line that approximates the other ordered pairs. Write the equation in slope - intercept form and in standard form. d) Use the slope - intercept equation form from part (c) to estimate the amount of nuclear waste in 2005.what is the y-intersept of y=5EuStockMarkets is a built-in R dataset. The EuStockMarkets data set is a time series giving the Daily Closing Prices of Major European Stock Indices, 1991-1998. We are interested in some descriptive statistics related to German DAX index prices. We can access the data directly by using the assignment x <- as.vector(EuStockMarkets[ ,2]) (In R use ? EuStockMarkets for info on this dataset.) Remember: x <- as.vector(EuStockMarkets[ ,2]) a.Calculate the sample median of x. b. Using R, find the 60th quantile of x. c. Calculate the interquartile range of x using R. d. Calculate the sample mean of x. e. Calculate a 10% trimmed mean for x. f. Calculate the sample variance of x. g. Calculate the sample standard deviation of x. h. What proportion of the x values are within 0.5 sample standard deviation from the sample mean i. Calculate the range of x. (one number) j. What number do you get if you add up the reciprocals of the values in x?
- A study was conducted in the tidal flat at Polka Point, North Stradbroke Island to examine the distribution of the animals that live with the seagrass Sargassum at different distances from the shoreline. Samples of Sargassum were taken at 5, 10, 15 m from the shore and these were examined for amphipods and isopods. The observations are recorded below. Is the distribution of each of the organisms with regards to the shore the same at all three distances? Use the data below to test the hypothesis at the p < 0.05 level. Clearly state the hypotheses and interpret the results. (Note: Find chi-square for each individual column (amphipods and isopods, not the two together) Distance Amphipods Isopods 5 2 7 10 31 14 15 45 22%24 %23 Work-Microsoft Edge /testnavclient.psonsvc.net/%23/question/9c049007-dd79-4d61-bfc4-114a60bc4b55/1272a214-e7a5-492a-9974-78603602a9d3 Review A Bookmark ebra I Advanced Unit 2 Test 2 2021-22 RETAKE / 1 of 10 Which equation of an exponential function has a graph that passes through the points (1, 5) and (2, 15)? O A. y 5* (e) O B. y=(3) O C. y 3" %3D y= P Type here to search 直。 f12 f3 f4 93 * ouThe following table was generated from the sample data of 10 junior high students regarding the average number of hours they are unsupervised per night, the average number of hours they play video games per night, and their final grades in their math class. The dependent variable is the final grade, the first independent variable (x1) is the number of hours unsupervised each night, and the second independent variable (x2) is the number of hours of video games each night. Intercept 52.536016 9.353956 5.616449 0.000802 Hours Unsupervised 7.173889 1.656518 4.330703 0.003435 Hours Playing Video Games 2.025042 1.731352 1.169631 0.280429 Step 1 of 2:Write the multiple regression equation for the computer output given. Round your answers to three decimal places. Step 2 of 2:Indicate if any of the independent variables could be eliminated at the 0.010.01 level of significance. (x1, x2, or keep all variables)
