hat is the orthogonality assumption in OLS, taking Y = a + bX as odel, and the error term is e? (e is epsilon)
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Q: 5Let MH)=Hit2costj + (2shnt-3k a) Find unit tingent vector TH) of rtH)
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Q: Given ā(t) = (1, e¬t) and V(0) = (2,1) and F(0) = (1,–1) find the position elocity vectors. %3D %3D
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A: Given Wt be a standard Brownian Motion. E∫06dWs/W3=5
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Q: Hiw.Qusing Cramer's vule to find the dariab les -2 x+Y+Z=4 ,l/ -4x+2y-2=8,//-6x -3y+Z=0 SoL X = -1…
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Q: For vectors a and b in R² prove Lagrange's identity: ||a x b||? = ||a||2||b||? – (a · b)? ах
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Q: t u - (1,1, -2) аnd v = (a, –1, 2). For what values of a are u and v orthogonal?
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Q: find th e angle between u and v in th e given exercise. U = [0.9, 2.1, 1.2], V = [-4.5, 2.6, -0.8]
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Q: ue or False. Let x, y E R". If || + y = ||x – y||, then x cannot be orthogonal to y.
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Q: c) Find the vector projection of a on b given a=i+j+kand_b = 2i – j +5k.
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- Assume that the computed correlation between x and y is -0.13. Suppose we define a new variable s= -x and t= y + 6. What is thecorrelation between s and t?What would the scatterplot look like if two variables X and Y had a Pearson Product Moment correlation of -0,547 A) curvilinear in that it moves upward on one side and downward on the other side B) s-shaped, moving downward, then upward, then downward again C) line that moves downward (linear) D) line that moves upwards (linear)I thought CI around Pearson's r is not symmetrical and we would need to transform it to z, calculate the CI then undo Fisher's transformation to obtain the population correlation coefficient CI?
- b.Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. c. find the critical valuesThe Pearson's r correlation between two variables X and Y is calculated to be 0.6. What can be concluded from this correlation coefficient about the relationship between X and Y?When two continuous variables are compared to each other in order to gain a correlation coefficient, the appropriate formula is Spearman’s Rho The Phi Coefficient Pearson’s Product Moment None of the above
- Let Z~Normal(0,1). Define X1 = Z and X2 = Z2. Calculate the Spearman correlation coefficient for the pair (X1, X2).Is there a linear correlation between x and y? Use α = 0.01. a.) Yes, because the correlation coefficient is not in the critical region. b.) Yes, because the correlation coefficient is in the critical region. c.) No, because the correlation coefficient is in the critical region. d.) No, because the correlation coefficient is not in the critical region. C. What is correlation coefficient when the point (2,9) is excluded? r=_________ (Round to three decimal places as needed.) Is there a linear correlation between x and y? Use α= 0.01 a.) No, because the correlation coefficient is in the critical region. b.) Yes, because the correlation coefficient is not in the critical region. c.) Yes, because the correlation coefficient is in the critical region. d.) No, because the correlation coefficient is not in the critical region.A correlation of r=1.2 is not possible? Define?
- The following is a correlation matrix among family size X weekly grocery bill Y and income Z for a random sample of 50 families x. y. z x. 1.00. .60. .20 y. .60. 1.00 .30 z. .20. .30. 1.00 Which of the correlations are significant at the .05 alpha level? Calculate the partial correlation between family size and grocery bill holding income constant and then determine if this partial correlation is significant. Find the critical value using the table that is attached see the attached informationQ1 - Returns on stocks X and Y are listed below: Period 1 2 3 4 5 6 7Stock X 6% 5% -2% 10% 3% 8% -4%Stock Y 11% 7% 10% -2% 3% 5% -1% What is the correlation of returns on the two stocks?Please round your answer to the nearest hundredth.Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.Gary compared the total attendance, x, at home matches and the total number of goals, y, scored at home during a season for each of 12 football teams playing in a league. He correctly calculated: Sxx = 1022500, Syy = 130.9, Sxy = 8825. (a) Calculate the product moment correlation coefficient for these data. (b) Interpret the value of the correlation coefficient.