Physical properties of six flame-retardant fabric samples were investigated in an article. Use the accompanying data and a 0.05 significance level to determine whether a linear relationship exists between stiffness x (mg-cm) and thickness y (mm). 7.98 24.47 12.42 7.02 24.29 35.88 y 0.28 0.65 0.33 0.26 0.80 0.55
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- Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and surface water. Bottom 0.430 0.266 0.567 0.531 0.707 0.716 0.651 0.589 0.469 0.723 Surface 0.415 0.238 0.390 0.410 0.605 0.609 0.632 0.523 0.411 0.612 Does the data suggest that the true average concentration in the bottom water is different than that of surface water? Note: You can assume that the conditions for inference are met.Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and surface water. Bottom 0.430 0.266 0.567 0.531 0.707 0.716 0.651 0.589 0.469 0.723 Surface 0.415 0.238 0.390 0.410 0.605 0.609 0.632 0.523 0.411 0.612 With the help of Mathematics and R Studio: Does the data suggest that the true average concentration in the bottom water is different than that of surface water? You can assume that the conditions for inference are met.A paper described a study that examined whether stress accelerates aging at a cellular level. The accompanying data on a measure of perceived stress (x) and telomere length (y) were read from a scatterplot that appeared in the paper. Telomere length is a measure of cell longevity. Perceivedstress Telomerelength Perceivedstress Telomerelength 5 1.06 20 2.1 6 1.1 20 1.14 6 1.18 20 0.98 7 1.02 21 1.14 10 1.9 21 2.14 11 1.46 21 1.66 12 1.02 22 1.78 13 1.58 22 2.26 14 1.3 22 0.9 14 0.94 23 2.42 15 1.98 24 1.1 15 1.62 24 1.66 15 1.7 25 2.14 17 1.14 26 1.26 17 1.06 27 1.98 17 1.78 27 2.34 18 1.38 28 1.34 18 1.62 29 2.22 19 1.94 33 0.94 (a) Compute the equation of the least-squares line. (Round your answer to four decimal places.) = (b) What is the value of r2? (Round your answer to four decimal places.)
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- An investigation of the properties of bricks used to line aluminum smelter pots was published in an article. Six different commercial bricks were evaluated. The life span of a smelter pot depends on the porosity of the brick lining (the less porosity, the longer the life span); consequently, the researchers measured the apparent porosity of each brick specimen, as well as the mean pore diameter of each brick. See the table. Apparent Porosity (y). Mean Pore Diameter (x). Click the icon to view the table. Data table Mean Pore Diameter Apparent Porosity (%) (micrometers) Brick Interpret the y-intercept of the line. Choose the correct answer below. 18.7 12.0 В 18.3 9.8 O A. The y-intercept is Bo- This value has no meaning because 0 is not in the observed range of the independent variable mean pore diameter. 16.3 7.3 6.9 5.4 O B. The y-intercept is Bo: For each unit increase in mean pore diameter, the mean porosity is estimated to increase by B0- 17.2 10.9 O C. There is not enough…An article described an investigation into the coating weights for large plpes resulting from a galvanized coating process. Production standards call for a true average weight of 200 lb per pipe. The accompanying descriptive summary and boxplot are from Minitab. Variable ctg wt Variable otg wt 11 Mean 30 206.45 Min 193.00 200 210 Median TrMean 206.00 206.81 Max 218.00 St Dev 6.35 01 03 202.75 212.00 Coating weight 190 220 (a) What does the boxplot suggest about the status of the specification for true average coating weight? It appears that the true average weight is approximately 202 lb per pipe. SEMean 1.16 It appears that the true average weight is not significantly different from the production specification of 200 lb per pipe O It appears that the true average weight is approximately 219 lb per pipe. It appears that the true average weight could be significantly off from the production specification of 200 jo per pipe.In a given community, a survey was conducted to determine whether there is any relationship between the size of one’s yearly income x (in hundred thousands of pesos) and the size of one’s home y (in hundreds of square meters). The data were collected for 10 samples. x. Income 41.2 68.3 22.4 56.7 42.2 86.1 50.3 35.7 44.4 47.5 y, Home size 2.9 3.5 2.5 3.1 3.3 4 3.7 2.9 3 3.1 a.) Find the correlation coefficient r between income and home size b.) Determine the equation of the regression line of home size on c.) Determine the home size of a person with an annual income of Php 4,000,000.00
- Use excel pls4. Measuring the Gadgets Usage of Children at Home during Quarantine Statistical Test/s: Explanation: 10:56 AM 4/4A question of interest here is how the land use around a river basin contributes to the water pollution as measured by the mean nitrogen concentration. Please interpret the data given