1 3 4 5 f(x) 1.1 5.2 7.8 13.5 21.3 (а) Derive the least-square quadratic fit for the given data set. (b) Perform error analysis on the least-square quadratic fit and calculate the coefficient of determination.
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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.Calculate Pearson’s coefficient of skewness. Hence, describe the shape of thedistribution of the waiting time for counter A and B.Suppose we want to compare the length of hospital stay for patients with the same diagnosis at two different hospitals. The results are shown in Table 9.10. 9.7 Why might a t test not be very useful in this case? 9.8 Carry out a nonparametric procedure for testing the hypothesis that lengths of stay are comparable in the two hospitals.
- The t-test on individual model coefficients is a test on the significance of the coefficient of apredictor as if it were the last variable added to a model that already contains all the otherpredictors. (true or false?)A lamp manufacturer company tests the two new models of LED spotlights for commercial use, trying to decide between 2 models.At the moment the useful life tests are carried out as shown in the table.Perform a two-factor LSD discrimination process with an error of 5%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.
- Find kurtosis by using ungroup data given in the picture using quartile deviation, make sure to arrange data before solving question.To study the effect of alloying on the resistance of electric wires, an engineer plans to measure the resis-tance of n1 = 35 standard wires and n2 = 45 alloyed wires. If it can be assumed that σ1 = 0.004 ohm andσ2 = 0.005 ohm for such data, what can she assert with98% confidence about the maximum error if she usesx1 − x2 as an estimate of μ1 − μ2? (Hint: Use the result ofExercise 8.)Suppose we want to compare the length of hospital stay for patients with the same diagnosis at two different hospitals. The results are shown in Table 9.10. A) Why might a t test not be very useful in this case? B)Carry out a nonparametric procedure for testing the hypothesis that lengths of stay are comparable in the two hospitals
- what is the conventional minimum power a study should have? For a study with this minimum power, what is tthe probablility that you will fail to reject the null hypothesis if the research hypothesis is true?Please fill in the blanks with appropriate answers. - Of all possible estimators of α and β that are linear in the Yi and unbiased, the least squares estimators that have the smallest variances are said to be………………………….…………….……………………………. according to the…..………………………..……………… theorem. - The ……………………………………… is the proportion of the sample variability of the dependent variable explained by its linear relationship with the independent variable. Thanks.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-freeportfolio
