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- Design a 3rd order Least-squares function approximation to interpolate between the mid between (2n and 3") for a dataset as chosen by you. Compute the LS model error.The article “Characterization of Highway Runoff in Austin, Texas, Area” (J. of Envir. Engr., 1998: 131–137) gave a scatterplot, along with the least squares line, of x = rainfall volume (m3) and y = runoff volume (m3) for a particular location. The accompanying values were read from the plot. x <‐ c(5, 12, 14, 17, 23, 30, 40, 47, 55, 67, 72, 81, 96, 112, 127) y <‐ c(4, 10, 13, 15, 15, 25, 27, 46, 38, 46, 53, 70, 82, 99, 100) Test at level 0.05 whether there is a useful linear relationship between rainfall and runoff,and then calculate a 95% confidence interval for the true average change in runoff volumeassociated with one unit (one m3) increase in rainfall volume.Compute the sum-of-squares error (SSE) by hand for the given set of data and linear model. (8, 10), (9, 11), (16, 20), (12, 2); y = 2x − 8
- Calculate Pearson’s coefficient of skewness. Hence, describe the shape of thedistribution of the waiting time for counter A and B.The following table shows the percent of water and the number of calories in various canned soups to which 100 g of water are added. (show all the necessary solution) Percent Water in Soups % Water Calories 83.3 28 92.3 26 91.9 39 89.4 57 89.5 57 90.5 36 91.9 32 91.7 32 a. Find the equation of the least squares line for the data. b. Use the equation in part a to find the expected number of calories in a soup that is 87% water. c. Determine the correlation coefficient of the data.An experiment was conducted to assess the effect of baking temperature on the density of bread. A large batch ofwhite bread dough and a large batch of whole wheat bread dough were prepared. Each of the batches was formedinto loaves, resulting in a total of loaves. Each of the white bread loaves was randomly assigned to one ofthree baking temperatures (low, medium, and high), so that loaves were baked at the low temperature, werebaked at the medium temperature, and were baked at the high temperature. A similar process of randomassignment was carried out for the whole wheat bread loaves.Which of the following are the treatments in the experiment? (A) The loaves of bread(B) The type of bread (white, whole wheat)(C) The density of the bread(D) The baking temperatures (low, medium, high)(E) The two batches of bread dough
- A least squares line for a sample with 11 observations has an SSE = 192; calculate and s. Please show your work So i can understand how you arrived at the answerDr. Dommer is interested in testing whether the gender breakdown in his introductory biology class isrepresentative of the gender breakdown of the college population. There are 20 females and 25 males in his class. If the college population is 60 percent female, what should Dr. Dommer conclude about the representativeness of his class? Complete the 6 steps of hypothesis testing. Show your work for each step. Report your results and conclusion in APA style. Assume that alpha is set at .05.J 2 make a 2 way ANOVA table for data on MATLAB with code
- Consider the performance function of a structural element Z =R-S , where R and S are normal random variables in the image. Calculate the failure probability of the element.The shape of the mean-variance frontier that results from the combination of a riskless and arisky asset is…..:a. Is U-shaped, tilted 90 degrees clockwise.b. Is a straight line passing from the mean-variance points of the two assets.c. Is a hyperbola.d. Consists of two straight lines, each connecting one of the two assets to a risk-freeportfolioIn Austria ,The amount of money spent on the restoration of a sanctuary and the distinct kangaroo populations present appeared to have negative correlations For investigation of this onserved assocaition ,what can a resecher do to begin his research 1Conduct an experiment 2Calculate the squares of coreealtion coefficient 3Calculate the least squares regression line 4 calculate the corelation coefficient Explain answer in 1 or 2 lines
