Compute the value of X in Table 2. ii) Estimate mass that dissolved in the water if the temperature is set at 100 Celcius.
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i) Compute the value of X in Table 2.
ii) Estimate mass that dissolved in the water if the temperature is set at 100 Celcius.
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- Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?Identify the description(s) that adhere to the requirements for testing a population correlation between variables X and Y. The log-transformed version of Y and X have a linear relationship. The shape of the scatter plot for the data collected for the X and Y variables is shaped like a funnel. The scatter plot for the data collected for the X and Y variables do not show any outliers. The frequency histograms for X and Y separately are each normally distributed.
- Climate change 2013 Data collected from around the globe show that the earth is getting warmer. The most common theory relates climate change to an increase in atmospheric levels of carbon dioxide (CO2), a greenhouse gas. The mean annual CO2 concentration in the atmosphere (parts per million) is measured at the top of Mauna Loa in Hawaii (away from any local contaminants) and available at ftp://aftp.cmdl.noaa.gov/products/trends/co2/co2_annmean_mlo.txt The mean surface air temperature is recorded as the change in °C relative to a base period of 1951 to 1980. It is available at data.giss.nasa.gov/gistemp/graphs_v3/ Here are a scatterplot and regression for the years from 1970 to 2013: 14.6 + 14.4 + 14.2 + 14.0 340 360 380 CO2 Response variable is R-squared = 73.6% R-squared (adjusted) = 72.9% s = 0.1316 with 44 – 2 = 42 degrees of freedom Global Avg Temp Variable Coefficient SE(Coeff) t-Ratio P-Value Intercept 10.6442 0.3418 31.1 S0.0001 0.010325 0.0010 10.8 S0.0001 a) Write the…▼ Set background Clear frame 6.2 2) The program used to create this scatterplot found the line-of-best-fit and reported the r-squared value as r^2 = 0.805 for the relationship between arm-span and height for several individuals. What is the correlation coefficient? Is it positive or negative? Explain how you know. 1850- 1800- 1750- 1700- 00 1650- 1600- 1550- arm-span (cm) height (cm) 160.0 R Sq Linear-0805 : =S Open c 2 INA paper gives data on x = change in Body Mass Index (BMI, in kilograms/meter2) and y = change in a measure of depression for patients suffering from depression who participated in a pulmonary rehabilitation program. The table below contains a subset of the data given in the paper and are approximate values read from a scatterplot in the paper. BMI Change (kg/m²) Depression Score Change S = The accompanying computer output is from Minitab. Depression score change 15- 10- -0.5 S Fitted Line Plot Depression score change = 6.577 +5.440 BMI change 20- 5.30586 Coefficients T 0.0 0.5 -0.5 R-sq 25.96% - 1 Term Coef Constant 6.577 BMI change 5.440 % 0.5 BMI change 1.0 SE Coef 2.28 2.90 9 0 0.1 0.7 0.8 1 1.5 4 T-Value 2.88 1.87 Interpret this estimate. s is the typical amount by which the ---Select--- line. 4 5 Regression Equation Depression score change = 6.577 +5.440 BMI change P-Value 0.0164 0.0906 S 5.30586 25.96% R-Sq R-Sq (adj) 18.56% 8 (b) Give a point estimate of o. (Round your answer to…
- In a certain type of metal test, the normal stress on a specimen is known to be functionally related to the shear resistance. What is the correlation between the two variables using Pearson product-moment correlation coefficient? Normal 27 29 26 28 28 24 Stress(x): 25 27 Shear 27 28 25 27 24 26 Resistance (y): 27 23 22 24When calculating a correlation coefficient between two continuous variables, the scales on which the variables are measured affect the value of the correlation coefficient. True or FalseSeedlings of understory trees in mature tropical rainforests must survive and grow using intermittent flecks of sunlight. How does the length of exposure to these flecks of sunlight (fleck duration) affect growth? Researchers experimentally irradiated seedlings of the Southeast Asian rainforest tree with flecks of light of varying duration while maintaining the same total irradiance to all the seedlings. Below is the data. Fit a linear model to the data. Tree Mean Fleck (min) Relative growth rate (mm/mm/week 1 3.4 0.013 2 3.2 0.008 3 3 0.007 4 2.7 0.005 5 2.8 0.003 6 3.2 0.003 7 2.2 0.005 8 2.2 0.003 9 2.4 0 10 4.4 0.009 11 5.1 0.01 12 6.3 0.009 13 7.3 0.009 14 6 0.016 15 5.9 0.025 16 7.1 0.021 17 8.8 0.024 18 7.4 0.019 19 7.5 0.016 20 7.5 0.014 21 7.9 0.014 a)What is the rate of change in relative growth…
- Determine the critical values of r and if it represents a significant linear correlation.Protein and Diastolic Blood Pressure A study wasconducted with vegetarians to see whether the numberof grams of protein each ate per day was related to diastolic blood pressure. The data are given here. If there isa significant relationship, predict the diastolic pressure ofa vegetarian who consumes 8 grams of protein per day.an attempt to develop a model of wine quality as judged by wine experts, data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 12wines, a model was created using the percentages of alcohol to predict wine quality. For those data, SR=18,671 and SST=27,382.Use this information to complete parts (a) through (c) below. Please complete part 3(B) ONLY. Question content area bottom Part 1 a. Determine the coefficient of determination, r2, and interpret its meaning. r2=0.682 (Round to three decimal places as needed.) Part 2 Interpret the meaning of r2. It means that 68.2 of the variation in wine quality can be explained by the variation in alcohol content. (Round to one decimal place as needed.) Part 3 b. Determine the standard error of the estimate. SYX= (Round to four decimal places as needed.)