From the data given below, calculate the regression equation taking deviation of items from the mean of X and Y series. 3 4 7 8 9 X: 2 1 Y: 9 8 10 12 11 13 14 16 15
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- Estimate the absolute deviation and the coefficient of variation for the results of the following calculations. a. y = log[4.42(±0.01) × 1037] b. y = [2.936(±60.002)]1/4 c. y = 15.57(±0.04) + 0.0037(±0.0001) + 3.59(±0.08) d. y = 1.49(±0.02)×10−2−4.97(±0.06)×10−3 / 27.1(±0.7)+8.99(±0.08)In a simple linear regression, given that the sample variances of x and y Sx^2=510, Sy^2=750 respectively, cov(x, y)=100 and n = 10. What is the standard error of estimate? Round your answer to the nearest third decimal."given a simple regression with slope b=3, s (sub y)=8, and s (sub x)= 2, and n=30. Find the standard error of the estimate."
- A regression of average monthly expenditure (AME, measured in euros) on average monthly income (AMI, measured in euros) using a random sample of college-educated full-time workers earnings €100 to €1.5 million yields the following: AME = 710.7 + 8.8 × AMI, R2 = 0.030, SER = 540.30 d. What does the regression predict will be the expenditure of a person with an income of €100? With an income of €200? e. Will the regression give reliable predictions for a person with an income of €2 million? Why or why not? ( f. Given what you know about the distribution of earnings, do you think it is plausible that the distribution of errors in the regression is normal? (Hint: Do you think that the distribution is symmetric or skewed? What is the smallest value of earnings, and is it consistent with a normal distribution?).Suppose you obtain the following regression model, E[y]=91+79*x1 +20*x1*x2. What is the impact of a 39 unit change of x1 on the expected value of y when x2 is at its mean of 40?The diameter of a metal shaft used in a disk-drive unit is normally distributed with mean 0.2508 in. and std. dev. 0.0005 in. The specification on the shaft have been established as (0.25-0.0015 in, 0.25+0.0015in) If the process mean has been adjusted to 0.25 in, what fraction of the shafts produced does NOT conform to specifications? a). 0.0027 b). 0.0013 c).0.08 d). 0.16
- For exponential smoothing forecasting with an alpha of 0.1, the MSE (mean squared error) is 2.98. Using an alpha of 0.05, the MSE is 1.32. Using the MSE, which value of alpha provides the best estimate?a researcher conducts a hypothesis test using a sample from an unknown population. if the t statistic has df= 35, how many individuals were in the sample?1) Find the regression equation and r value Drop Height, y (m) Square of Mean Fall time, t^2 (s^2) 0.100 0.0188 0.300 0.0576 0.500 0.0980 1.000 0.198 1.500 0.305 2.500 0.508
- The tests of assumptions for yield gave values for Levene’s statistic and Shapiro-Wilk’s as 0.0562 and .00271, respectively. At a=0.05 , which statistical test is most appropriate to compare the yield among the nitrogen rates? a. Cochran’s Q B. Friedman’s C. Kruskal Wallis test . D. Anova F-testThe following regression was estimated using quarterly data for 10 years ??? = −7.453 − 0.0714?? + 0.00315?? − 0.1537?? Se= (13.58) (0.0347) (0.0017) (0.04919) R2= 0.758 ESS = 23.5104 RSS = 14.1867 d=2.04 Where NC = new car sales per 1000 population P = new car price index Y = per capita real disposable income in Rs. i = interest rateUse the sample linear regression line Y^=2+3X for the data points below to answer the following questions. X 0 3 7 10 Y 5 5 27 31 1) What is the fitted value when X2=3? 2) What is the regression residual when X2=3?