2.2. Given a set of three data points {(0,1), (2,5), (4,17 } Determine Newtons interpolation polynomial of degree 2.
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A: Both questions are different so I soved 1st queation if you want 2nd one then repost it again.
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- Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 8, x = 114.6, s1 = 5.03, n = 8, y = 129.3, and s2 = 5.38. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) ,(A) The linearity between two variables X and Y, in pairs, defined as X=[4,2,3,5,2,4] and Y=[6,4,6,8,5,10] is equal to? (B)An outbreak of certain illness was attributed to ice creams produced at a certain factory. Scientists measured the level of the illness causing factor in 10 randomly sampled batches of ice cream. The levels were: 0.583, 0.242, 0.129, 0.691, 0.231, 0.693, 0.619, 0.392, 0.418. What is the estimated interval of population mean at 0.05 level of significance? (C) The population standard deviation for the age of a certain University students is 13 years. If we want to be 90% confident that the sample mean age is within 3 years of the true population mean age of the University students, then how many randomly selected students must be surveyed?12/20 Compute the linear correlation coefficient between the weight of a car and its miles per gallon. R =_. Round to three decimal places as needed.
- Suppose that the Lorenz Curve for country A is given by yA = x 2.2 and for country B is yB = 0.3x 2 + 0.7x. Use the Gini index to determine which of the two countries has greater inequality in its income distribution.A set of 15 different integers has a median of 25 and a range of 15. 1. What is the greatest possible integer that could be in this set? 2. If the second largest number is 39 and the mode is 33, what is the coefficient of the variation? 3. What will be the value of kurtosis and its description?A covariance of 0.01 between data set A and data set B indicates: A strong tendency for B to increase when A increases A weak relationship between A and B A strong tendency for B to decrease when A increases Not enough information to say
- If the alleles A and B of the cystic fibrosis gene occur in a population with frequencies p and 1 - p (where pis between 0 and 1), then the frequency of heterozygous carriers (carriers with both alleles) is 2p(l - p). Which value of p gives the largest frequency of heterozygous carriers?If the coefficient of determination (R2) value is 0.99, it means the 99% of ____________ of the observed y-values of are explained by the __________ of the predicted y-values, and only 1% remains unexplained.Suppose that a researcher is interested in the average standardized test score for fifth graders in a local school district. The fifth graders at a specific school would comprise a ___________ and their average test score would be a ___________.
- 6) The line of best fit through a set of data isy=36.704+0.985xy=36.704+0.985xAccording to this equation, what is the predicted value of the dependent variable when the independent variable has value 30?y = Round to 1 decimal place.1. Gravetter/Wallnau/Forzano, Essentials - Chapter 5 - End of Chapter question 25 For each of the following, identify the exam score that should lead to the better grade. A score of X = 60 on an exam with µ = 72 and σ = 12, or a score of X = 70 on an exam with µ = 82 and σ = 8? X = 60 corresponds to z = , and X = 70 corresponds to z = . Therefore,both scores produce the same grade . A score of X = 85 on an exam with µ = 70 and σ = 10, or a score of X = 58 on an exam with µ = 49 and σ = 6? X = 85 corresponds to z = , and X = 58 corresponds to z = . Therefore,the better grade would be X = 85, µ = 70, σ = 10 . A score of X = 32 on an exam with µ = 24 and σ = 4, or a score of X = 26 on an exam with µ = 20 and σ = 2? X = 32 corresponds to z = , and X = 26 corresponds to z = . Therefore,the better grade would be X = 26, µ = 20, σ = 2 .2. Determine the approximate value of y if x = 1.5 for the data set {(-1, 5), (0, 1), (1, 1), (2, 11)} by Newton’s divided difference interpolation. Round off to three decimals