Concept explainers
The accompanying summary quantities for x = Particulate pollution (μg/m3) and y = Luminance (0.01 cd/m2) were calculated from a representative sample of data that appeared in the article “Luminance and Polarization of the Sky Light at Seville (Spain) Measured in White Light” (Atmospheric Environment [1988]: 595–599).
- a. Test to see whether there is a
positive correlation between particulate pollution and luminance in the population from which the data were selected. - b. What proportion of observed variation in luminance can be attributed to the approximate linear relationship between luminance and particulate pollution?
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Introduction To Statistics And Data Analysis
- The standard pH of a drinking water of MRWD is pH 7.0, the pH obtained from several water station are as follows: Station 1 7.8 Station 2 6.5 Station 3 5.8 Station 4 8.9 Station 5 6.8 Station 6 5.8 Station 7 9.0 Station 8 6.9 Test the hypothesis that the drinking water of the MRWD is safe for drinking.arrow_forward1. Given that Y = eiax + Cosx, find: dy a. dr b. d'y/dx 2. The ages of a random sample of depositors at a named bank in Lusaka are as follows: 34 28 46 37 33 24 29 45 37 34 32 25 50 54 32 36 38 41 38 44 28 43 40 49 30 46 27 34 61 33 a. Display the data presented above on a stem and leaf display b. State any three reasons why statisticians would display data on a stem and leaf c. Find i. Mean ii. Variance iii. Standard deviation 3. The profits to be realised from airtime vending business, to the nearest S1 000, are believed to follow the probability distribution shown below: -2 000 -1 000 1 000 2 000 3 000 P(X = x) 0.1 0.1 0.2 K 0.3 0.1 a. Determine the value of K. b. Find the probability that the airtime vending i. Makes a loss ii. Realises profit of at least $2 000 c. Find i. The expected earnings and Standard deviation of profits for the air time vending business ii. d. Is the air time vending business likely to be successful? Explain 4. In the table below, 55 students have been…arrow_forwardWhat is the relationship of alpha when OA moves to OBarrow_forward
- C webassign.net/web/Student/Assignment-Responses/submit?dep=30747029&tags=autosave#question4028933_1 62°F Cloudy Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: kuami b= ý = 20.0 Σχ = 15; Σy = 84.1; Σx2 = 55; Σy2 = 1,452.93; Σxy = 268.8 = (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) X 22 20 (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. y 18 16 14 1 12 IOI 8 + Q Search 22 20 18 16 12 20 13 Paused Update MAX 174 11:16 PM 2/26/2023arrow_forwardA pilot study was performed to investigate the effect of temperature, x (in degree Fahrenheit) on the electrical power consumed, y (in Watt) by an automotive factory. Other factors were kept constant and the data were collected from the study. The summary of the data are given as follows: n = 8, 2x = 401, 2301, x? = 22495 2y? = 666509, Σ > xy = 118652. %3D Compute the equation of the least squares regression line of y on x. Interpret the equation obtained in part (i). Predict the power consumption for a temperature of 65°F. (i) (ii) (iii) (iv) Compute the coefficient of determination and explain.arrow_forwardThe following scatterplot shows the mean annual carbon dioxide (CO,) in parts (CO2) per million (ppm) 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. f) View the accompanying scatterplot of the residuals vs. CO2. Does the scatterplot of the residuals vs. CO, show evidence of the violation of any assumptions behind the regression? 16.800 A. Yes, the outlier condition is violated. 16.725 O B. Yes, the linearity and equal variance assumptions are violated. 16.650 C. Yes, the equal variance assumption is violated. 16.575 O D. No, all assumptioris are okay. 16.500 O E. Yes, all the assumptions are violated. 325.0 337.5 350.0 362.5 CO2 (ppm) OF Yes, the linearity assumption is violated. his vear, What mean temperature doesarrow_forward
- Like hurricanes and earthquakes, geomagnetic storms are natural hazards with possible severe impact on the Earth. Severe storms can cause communication and utility breakdowns, leading to possible blackouts. The National Oceanic and Atmospheric Administration beams electron and proton flux data in various energy ranges to various stations on the Earth to help forecast possible disturbances. The following are 25 readings of proton flux in the 47-68 kEV range (units are in p/ (cm2- sec-ster-MeV)) on the evening of December 28, 2011: 2310 2320 2010 10800 2190 3360 5640 2540 3360 11800 2010 3430 10600 3500 10200 8550 9500 2260 7730 2250 7370 2160 3200 2020 2850 (a) Find a point estimate of the mean proton flux in this time period. (b) Find a point estimate of the standard deviation of the proton flux in this time period. (c) Find an estimate of the standard error of the estimate in part (a).arrow_forwardI. Solve for Z and find its area1. Mean = 81, score: x = 71.5, standard deviation: σ = 9.2. Mean = 47, score: x = 55.6, standard deviation: σ = 4.3. Mean = 68, score: x = 78.8, standard deviation: σ = 6.4. Mean = 51, score: x = 69, standard deviation: σ =7.5. Mean = 85, score: x = 93, standard deviation: σ =5.6. The mean expenses of Dela Cruz Family is PhP12,600 every 15 days and thestandard deviation is PhP 1, 570., If the expenses are normally distributed, what isthe probability of consuming less than PhP 11,000 in 15 days?7. The mean production of factory workers is 10 finished products per hour, with astandard deviation of 1.5 products/hour. What is the probability of finishing: a.less than 12.8 products/hour? b. more than 12 products/hour?8. The mean weight of insects for laboratory experiments is 13.2 g, with the standarddeviation of 0.8 g. What is the probability of randomly selecting insects withweight of : a. 14 g? b. 13.1 to 13.6 g?9. The lifetime of CP batteries from a…arrow_forwardI. Solve for Z and find its area 1. Mean = 81, score: x = 71.5, standard deviation: o = 9. 2. Mean = 47, score: x = 55.6, standard deviation: o = 4. 3. Mean = 68, score: x = 78.8, standard deviation: o = 6. 4. Mean = 51, score: x = 69, standard deviation: o =7. 5. Mean = 85, score: x = 93, standard deviation: o =5. 6. The mean expenses of Dela Cruz Family is PhP12,600 every 15 days and the standard deviation is PhP 1, 570., If the expenses are normally distributed, what is the probability of consuming less than PhP 11,000 in 15 days? 7. The mean production of factory workers is 10 finished products per hour, with a standard deviation of 1.5 products/hour. What is the probability of finishing: a. less than 12.8 products/hour? b. more than 12 products/hour? 8. The mean weight of insects for laboratory experiments is 13.2 g, with the standard deviation of 0.8 g. What is the probability of randomly selecting insects with weight of: a. 14 g? b. 13.1 to 13.6 g? 9. The lifetime of CP…arrow_forward
- In an experiment to determine factors related to weld toughness, the Charpy V-notch impact toughness in ft - 1b (v) was measured for 22 welds at 0°Č, along with the lateral expansion at the notch in % (x,), and the brittle fracture surface in % (x2). The data are presented in the following table. X1 X2 y 32 20.0 28 39 23.0 28 20 12.8 32 21 16.0 29 25 10.2 31 20 11.6 28 32 17.6 25 29 17.8 28 27 16.0 29 43 26.2 27 22 9.6 32 22 15.2 32 18 8.8 43 32 20.4 24 22 12.2 36 25 14.6 36 25 10.4 29 20 11.6 30 20 12.6 31 24 16.2 36 18 9.2 34 28 16.8 30 a. Fit the model y = Bo + B1 X1 + ɛ. For each coefficient, test the null hypothesis that it is equal to 0. b. Fit the model y = Bo + B, xz + ɛ. For each coefficient, test the null hypothesis that it is equal to 0. c. Fit the model y = Bo + B1 X1 + Bzx2 + ɛ. For each coefficient, test the null hypothesis that it is equal to 0. d. Which of the models in parts (a) through (c) is the best of the three? Why do you think %3D + E. so?arrow_forwardA set of data is found to have a μμ = 10 and a σσ = 2. What is σ2σ2 for this data set? Suppose each data value was divided by 5. What is μμ of the resulting data set? What is σσ of the resulting data set? What is σ2σ2 of the resulting data set?arrow_forward. Use the control variable Y = cos(X), to estimate 0 = cos xdx %3D e Provide a step-by-step explanation of your approacharrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage