Following results were obtained from an analysis of 12 pairs of observations: N= 12, ΣX - 30, ΣΥ= 5, ΣΧ 670, ΣΥ= 285 , ΣΧΥ = 334 Later on it was discovered that one pair of values (X=11, Y= 4) were copied wrongly. the correct value of the pair was (X=10, Y= 14). Find the correct value of correlation coefficient. %3D |3D %3D
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- Does the following dataset satisfy GARP?TRUE OR FALSE. When heterosdasticity is present OLS estimators are still BLUE.In regression model: Yi = B1+ B2Xi+ Ei, where Ei is a random variable independent of Xi, with mean and variance constant and different from zero. Ei ~(media, varianza) Obtain the OLS estimator of ẞ2. Show that the properties of finite samples hold.
- A random sample of residents from various income brackets was asked their opinion on tax reform for the country of Guyana. The data so gathered were analyzed by a statistician and the results he obtained using MINITAB are shown below: Expected counts are printed below observed counts Low Middle High Total For 26 (30.67) 75 (51.11) 14 (33.22) 115 Against 60 (69.33) 95 (115.56) 105 (**) 260 Neutral 34 (20) 30 (33.33) 11 (21.67) 75 Total * 200 130 450 Chi-sq = 0.71 + 11.17 + 11.12 + *** + 3.66 + 11.89 + 9.8 + 0.33 + 5.25 = 55.2 DF =??, p-value =??? Carefully define the null and alternative hypotheses of the x2 test underlying the generation of the above table. Find the missing values ‘*’, ‘**’, ‘***’, ‘??’ and ‘???’. What is the conclusion of this test? Give reasons for your answer.The following data gives the experience of the machine operators and their performance ratings as given by the number of good parts turned out per 100 pieces.Experience(X) 16 12 18 4 3 10 5 12Performance Ratings (Y) 88 87 89 68 78 80 75 83Obtain the regression line of performance ratings on experience and estimate the probable performance if the operator has 7 years of experience.In exercise 1, the following estimated regression equation based on 10 observations was presented. y^=29.1270+.5906x1+.4980x2Here SST=6724.125, SSR=6216.375, sb1=.0813, and sb2=.0567. a) Compute MSR and MSE. b) Compute F and perform the appropriate F test. Use α=.05. c) Perform a t test for the significance of β1. Use α=.05. d) Perform a t test for the significance of β2. Use α=.05.
- PLEASE DE NOT COPY FROM PREVIOUS ANSWERS .......Given the regression equationY = -50 + 12Xa. What is the change in Y when X changes by +3?b. What is the change in Y when X changes by -4?c. What is the predicted value of Y when X = 12?d. What is the predicted value of Y when X = 23?e. Does this equation prove that a change in X causes a change in Y?a simple linear regression equation shows the relationship between-
- Can you also answers parts d,e, and f?You estimated a regression with the following output. Source | SS df MS Number of obs = 472-------------+---------------------------------- F(1, 470) > 99999.00 Model | 2.2728e+09 1 2.2728e+09 Prob > F = 0.0000 Residual | 4246681.85 470 9035.4933 R-squared = 0.9981-------------+---------------------------------- Adj R-squared = 0.9981 Total | 2.2771e+09 471 4834590.83 Root MSE = 95.055------------------------------------------------------------------------------ Y | Coef. Std. Err. t P>|t| [95% Conf. Interval]-------------+---------------------------------------------------------------- X | 29.84419 .0595046 501.54 0.000 29.72726 29.96112 _cons | 88.27799 7.592427 11.63 0.000 73.35868 103.1973------------------------------------------------------------------------------…A car company wants to know the monthly sales made in ($000), based on the brand of vehicle. The data collected was entered on a MINITAB spreadsheet for analysis. Exhibit II below was subsequently generated. Exhibit 2 Model N Mean Median Tri.Mean Std Dev S.E. Mean Hyundai 23 109 135 107.64 * 1.34 Toyota 27 165 124 143.65 9.5 ** Determine the values of * and **. Give the unbiased point estimate for the average monthly earning from Hyundai Give the unbiased point estimate for the variance of monthly earning from Hyundai Assuming normality, construct and interpret a 90% confidence interval for the average monthly earning from Toyota You are required to test at the 5% level of significance the hypothesis that the average monthly earnings on Hyundai Vehicles is equal to $110,000 versus the alternative that it is different from $110,000.