If we know the average speed (s1) for an unknown distance, d, and the average speed (s2) of a second journey across the same distance, d, how can we calculate the average speed of the two journeys? {Values of time and distance are not known}
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If we know the average speed (s1) for an unknown distance, d, and the average speed (s2) of a second journey across the same distance, d, how can we calculate the average speed of the two journeys?
{Values of time and distance are not known}
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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. x days y km/100 71 76 31 92 203 14.2 19.6 5.8 11.2 35.9 (a) Verify that Ex = 473, Ey = 86.7, Ex = 61,451, Ey = 2033.69, Exy = 10995.7, and r 0.93868. %3D %3D %3D %3D Σχ 1 473 ΣΥ| 86.7 Ex2 61451 Ey2 2033.69 Exy 10995.7 r0.93868 (b) Use a 1% level of significance to test the claim p > 0. (Use 2 decimal places.) t 4.72 critical t 4.54 Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject…ONLY DO PART A Burning fuels in power plants and motor vehicles emit carbon dioxide (CO2), contributing to global warming. The table at the right displays CO2 emissions per person from countries with at least 20 million populations. (a) What is the variable of interest? How do you classify it? (b) Make a histogram of the data using classes of width 2, starting at 0. Show the frequency distribution table and create the Histogram of the data. Be mindful of submitting a correct graph. (c) Describe the shape, center, and spread of the distribution. Which countries are outliers? For a description of the shape, center, and spread, put your response in paragraph form. Select the most appropriate measure of center and measure of spread to describe the distribution. Also, do not forget to interpret the values based on the given context. Lastly, do not forget to include the unit of measurements. For outliers, show your method of how you were able to determine these. What can you say about…Q/The following data shows the relationship between x and y. Use interpolation technique to find the value corresponding to (x = 4). (x: 2, 3, 5, 8, 12), (y: 10, 15, 25, 40, 60) *
- Given the data points (2, 29.5), (5, 523), (7, 1807), and (11, 9853), find the value of f(x) if x = 4.48 using quadratic interpolation. Round off your final answer to five decimal places but do not round off in preliminary calculations. THE CORRECT ANSWER: 314.30320Mean for nunber 5 is 100Ocean 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 a representative of one study using drift bottles to study ocean currents. x day 72 79 32 96 203 y km/100 14.8 19.6 5.3 11.8 35.1 Σx=482 Σy=86.6 Σx2=62874 Σy2=2002.54 Σxy=11041.7 r=.93787 use a 1% level of significance to test the claim p>0.(use 2 decimal places) t=critical t= Se=4.4913 a=1.4966 b=.1641 D) find the predicted distance (km/100) when a drift bottle has been floating for 80 days.(use 2 decimal places) find a 90% confidence interval for your prediction of part D. (use 2 decimal places) lower limit=___km/100upper limit=___km/100 he was a 1% level of…
- A group of researchers studied the effect of acid rain on wildlife and collected n = 12 samples from streams in different States. They recorded the pH (X) of the water (i.e. units above pH 7), and the BCI, a measure of biological diversity (Y). The data obtained is summarized below. DATA: Observation 1 2 3 4 5 6 7 8 9 10 11 12 pH above 7 (X) 0.65 0.50 0.93 0.86 1.02 0.94 1.16 1.24 1.30 1.45 1.85 1.89 Units of BCI (Y) 14.5 22.9 15.8 38.3 18.9 20.0 21.4 23.8 23.6 25.2 27.3 29.4 Find the correlation coefficient between pH and BCI (round to the nearest hundredth; place your answer in the box below)Q1. A study was conducted to investigate the relationship between premature birth and mental development at 12 months. The infant's birth weight was used as an index of prematurity. At age 12 months, the child's mental development was recorded. The results are shown below (the weights are in pounds): Birth 4 6 7 8 Weight(x) Developmental 85 Quotients(y) 88 87 94 96 Summary: n = 5, £x=30, £x² = 190, Ey= 450, Ey² = 40590, Exy = 2728 . a. Find the least square prediction equation, y on x. b. Obtain a 95% confidence interval for the average value of y when x 6.5 (i.e., a C.I. for E(y|x= 6.5)). c. Obtain the coefficient of correlation (r) and interpret the result. d. Test the hypothesis that H, :p= 0 vs. H, : p0. Use a =0.05.Discuss the two types of variation=systematic variation and unsystematic variation. try to interpret an obtained t value (example t=3.15). lastly indicate the terms of what these two variations measure.
- Mean Temperature (°C) The following scatterplot shows the mean annual carbon dioxide (CO,) in parts per million (ppm) d) What is the meaning of the slope of this equation? measured at the top of a mountain and the mean annual air temperature over both land and sea across the globe, in degrees Celsius (C). Complete parts a through h on the right. O A. For every degree that the mean temperature increases, CO, levels increase by 0.004 ppm. 16.800 O B. For every 0.004 ppm increase in CO, levels, the mean temperature increases by 1°C. 16.725 OC. For every 1 ppm increase in CO, levels, the mean temperature increases by 0.004°C. 16.650 O D. The slope does not have a meaningful interpretation in the context of this problem. 16.575 16.500 e) What is the meaning of the y-intercept of this equation? 337.5 CO, (ppm) 350.03 325.0 362.5 A. For every 1 ppm increase in CO, levels, the mean temperature increases by 0.004°C. Click here to view the regression output. O B. When the CO, level is 0 ppm, the…Mean Temperature (°C) The following scatterplot shows the mean annual carbon dioxide (CO,) in parts per million (ppm) d) What is the meaning of the slope of this equation? measured at the top of a mountain and the mean annual air temperature over both land and sea across the globe, in degrees Celsius (C). Complete parts a through h on the right. O A. For every degree that the mean temperature increases, CO, levels increase by 0.004 ppm. 16.800 O B. For every 0.004 ppm increase in CO, levels, the mean temperature increases by 1°C. 16.725 OC. For every 1 ppm increase in CO, levels, the mean temperature increases by 0.004°C. 16.650 O D. The slope does not have a meaningful interpretation in the context of this problem. 16.575 16.500 e) What is the meaning of the y-intercept of this equation? 337.5 CO, (ppm) 350.03 325.0 362.5 A. For every 1 ppm increase in CO, levels, the mean temperature increases by 0.004°C. Click here to view the regression output. O B. When the CO, level is 0 ppm, the…Q1. A psychologist conducted a study on the relationship between introversion and shyness. The values are results for scales of introversion and shyness. High positive scores on each scale indicate high introversion or shyness; and high negative scores indicate low introversion or shyness. Data collected from 10 people as follows: Introversion 4 -7 -1 0 6 7 -4 -9 -5 8 Shyness 11 -7 -1 -3 0 7 -1 -8 -1 5 a) Compute the correlation coefficient relating introversion and shyness scores. b) Find the regression equation which predicts introversion from shyness. c) What introversion score would you predict from a shyness score of 7?
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