Let the two variables X and Y have the covariance and correlation coefficient between them as 2 and 0.5 respectively and V(X) = 2V(Y); then find the regression coefficient of X on Y.
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Q: Construct the simple linear regression equation of Y on X if n = 7, £x, =113, Ex=1983, y,-182 and…
A: Givenn=7∑xi=113i=1n∑i=1nxi2=1983∑yi=182i=1n∑i=1nxiyi=3186
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Q: Consider the following regression equation: Y = 30 + 8X. If SSE = 720 and SS Total = 1,200, then the…
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Q: In a linear regression equation of "x on y... x = a+by", x is O a. Being dependent on x O b. Being…
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Q: Example 8. Given the regression lines as 3x + 2y = 26 and 6x + y = 31. Find their point of…
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Q: The correlation coefficient between two variables X and Y is r= 0.6. If Sx = 1.50, Sy = 2, X = 10…
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Q: (d) Find the least-squares regression line treating the rate of return of Company 1 as the…
A: In order to obtain the regression equation, first perform regression analysis on the data.
Q: Suppose that you run a correlation and find the correlation coefficient is 0.421 and the regression…
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Q: The regression equations of two variables x and y are x = 0.7y + 5.2, y = 0.3x+2.8. Find the means…
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Q: Suppose that you run a correlation and find the correlation coefficient is -0.256 and the regression…
A: Given regression equation ŷ = -5.8x + 56.92
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Q: If the regression equation is ỹ = 1.3+0.20x, and r2 = 0.64 then the correlation is equal to O 0.80 O…
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- The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.If there is a positive correlation between X and Y then in the regression equation, Y = bX + a, ____.The grades of a sample of 9 students on a prelim exam (x) and on the midterm exam (y) are shown below. Find the regression equation. y = 34.661 + 0.433x y = 0.777 + 12.0623x y = 12.0623 + 0.777x y = 34.661 - 0.433x
- If there is a positive correlation between X and Y in a research study, then the regression equation Y = bX + a will have _____. Group of answer choices b > 0. b < 0. a > 0. a < 0.The birth lengths in cm (x) and birth weights in kg (y) of a sample of 50 newborn female babies are compared, yielding a correlation coefficient of r=0.578 and a linear regression equation of ŷ =−8.89+0.243x The babies all had lengths between 46.5 and 53.0 cm, and weights between 2.50 and 4.05 kg. Based on this, predict the birth weight of a newborn female baby with a birth length of 48.5 cm.The slope of a regression line (y on x) is -0.24, we know that SDy=3.2 and SDx=4.0, then the correlation coefficient between the two variables is:A. 0.3B. -0.3C. 0.8D. -0.8
- Assume that there is a positive linear correlation between the variable R (return rate in percent of financial investment) and the variable t (age in years of the investment) given by the regression equation R = 2.5t + 5.3. 1- If the investment continues to grow at a constant rate, what is the expected return rate when the investment is 7 years old?There is a relation between the following variables as y = 1 / (a * x ^ b) (x ^ b means x over b) a) Calculate the correlation coefficient and interpret the degree of the relationship? b) Estimate the y-value for x = 4.3 and the x-value for y = 0.90 by obtaining the regression equationIn an instrumental variable regression model with one regressor, Xi, andone instrument, Zi, the regression of Xi onto Zi has R2 = 0.1 and n = 50.Is Zi a strong instrument? Would your answer change if R2 = 0.1 and n = 150?
- It is known that the linear regression equation: y= -2.88+1.77x, with a coefficient of determination of 0.81. Based on the two information, the correlation coefficient isI have some doubts regarding linear regression. if any 2 variables in X1, X2 AND Y have a positive correlation, then in the linear regression Y = b0 + b1X1 +b2X2 +e, will the sign of b1 and b2 both be positive? will the residuals that we get from linear regression will always be uncorrelated given X?Consider the following regression equation: Y = 30 + 8X. If SSE = 720 and SS Total = 1,200, then the correlation coefficient is ________. A) −0.632B) 0.70C) 0.632D) −0.70