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- The value of the correlation r = (x,y) for the information would be: n = 8, Sum(x) = 609, Sum(y) = 504, Sum (x)^2 = 47995, Sum (y)^2 = 32954, and Sum (xy) = 395650 0.255 0.147 0.855 0.17429.-The scatter plot displays bivarlate data on the outside temperature in degrees Fahrenheit, x, and the corresponding number of beachgoers, y, at a local beach. Temperature and Beachgoers 60 50 30 20 10 55 60 65 70 75 Temperature ("F) 85 Outliers appear to be located at (66, 45) and (85, 15). | The outlier (66, 45) represents 45 beachgoers visiting the beach on a day when the outside temperature was 65°F. The outlier (85, 15) represents 15 beachgoers at the beach on a day when the outside temperature was 85°F. Perhaps on the 85° day, people attended a big event, such as a football game instead of the beach. This could explain why fewer people attended the beach. Likewise, maybe there was a special competition at the beach on the day that the temperature was 66°F. This could explain why more people went to the beach even though it was not very warm. The strong, positive, and linear association indicates that there are more beachgoers on warmer days. The general trend shows that, for…
- The value of the correlation r = (x,y) for the information would be: n = 8, Sum(x) = 609, Sum(y) = 504, Sum (x)^2 = 47995, Sum (y)^2 = 32954, and Sum (xy) = 395650 Choose answer from the following: a. 0.855 b.0.1742. Let ₁ and 2 be measurements of ₁ = tail length and 2 = wing length (both in mm) from Hook-billed kites. Suppose that it is known 120 125 X = (X₁, X₂)' ~ N₂ ((285) (125 What is the distribution of wing lengths for those birds that have tail lengths of 190 mm? 22205)). 125 210,Please show all work
- Let a and b be any real numbers and let x = (x1,Xz -- -- Xp m-, X) be a data set with a sample mean f and a sample variance s. Show that if y, = (ax, + b), then S3 = a*s;The edge roughness of slit paper products increases as knife blades wear. Only 1% of products slit with new blades have rough edges, 3% of products slit with blades of average sharpness exhibit roughness, and 5% of products slit with worn blades exhibit roughness. If 25% of the blades in manufacturing are new , 60% are of average sharpness, and 15% are worn , what is the proportion of products that exhibit edge roughness? Let R = edge roughness N = new blades A = blades with average sharpness W = worn blades What are the mathematical notation for the following values: 1% = 3% = 5% = 25% = 60%= 15% = Express the question in mathematical notation; The proportion of products that exhibit edge roughness* = *Express in rational number with 2 decimal places.Suppose X~N(-3,4). Find the probability that x is between 0 and 2. Draw a picture and accurately label the curve for the problem.
- It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. given Σx = 13, Σy = 151, Σx2 = 65, Σy2 = 6005, Σxy = 409, and r ≈ −0.9818. x 0 2 5 6 y 48 44 33 26 Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers to four decimal places.) x = y = = y= +___x Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.) r2 = explained %…Assume that the population of individuals is subdivided into susceptible (S), exposed (E), infectious (I) and removed/recovered (R) classes. Assume that the rate of transmission of disease is given by a, the rate of becoming infectious is given by B, the rate of recovery is given by y and the rate of loss of immunity (i.e., becoming again susceptible) is given by . Assume that the rate of mortality from the class of infectious is given by 8. a) Draw the diagram of this epidemic b) Write the corresponding system of differential equations for this diagram of epidemicFor each variable, determine whether it is best thought of as discrete or continuous. Variable Discrete Continuous (a) The number of defective compact discs in a batch of 500 discs (b) The number of personal-injury traffic accidents last week on Interstate 65 in Indiana (c) The body temperature measurement of a participant in a lie-detector test (d) The number of students, in a class of 35, who improve their score from the first midterm to the second midterm
