The table shows the corresponding values of three variables, X,, X, and X,. Find the least square regression equation of X, on X, and X,. Estimate X, when X, = 10 and X, = 6. X, 3 5 8 12 14 16 10 7 4 3 X, 90 72 54 42 30 12
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- 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 - 0.433xin the regression specification y =α+βx +δz +ε, the parameter α is calledIn 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?
- According to the summary result of linear regression model between A and B obtained from R given below, we can fit a regression line. Assume thatA has any value. If we decrease the value of A by 3, how would Y be affected?a) 58.8945 decreaseb) 58.8945 increasec) 29.8827 increased) 49.5142 decreasee) 29.8827 decreaseGiven are five observations for two variables, x and y. xi 1 2 3 4 5 yi 4 7 4 11 14 Develop the estimated regression equation by computing the values of b0 and b1 using b1 = Σ(xi − x)(yi − y): Σ(xi − x)2 and b0 = y − b1x. ŷ = (e) Use the estimated regression equation to predict the value of y when x = 2.Use the following table to find the equation of the regression line, between x and y x312304y210342
- Use the following linear regression equation to answer the questions. x1 = 2.0 + 3.6x2 – 7.8x3 + 2.1x4 a) Which variables are the explanatory variables? (Select all that apply.) x3 x1 x2 x4 (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. constant _____ x2 coefficient _____ x3 coefficient _____ x4 coefficient ______ (c) If x2 = 9, x3 = 3, and x4 = 6, what is the predicted value for x1? (Use 1 decimal place.)The prelim grades (x) and midterm grades (y) of a sample of 10 MMW students is modeled by the regression line y = 12.0623 + 0.7771x. Estimate the prelim grade if the midterm grade is 83.Based on the below table, compute the regression line that predicts Y from X. (relevant section) MX MY sX sY r 10 12 2.5 3.0 -0.6
- Given are five observations for two variables, x and y. xi 3 12 6 20 14 yi 55 45 50 15 20 #1) Develop the estimated regression equation by computing the values of b0 and b1 using b1 = Σ(xi − x)(yi − y) Σ(xi − x)2 and b0 = y − b1x. y= #2) Use the estimated regression equation to predict the value of y when x = 13.Given are five observations for two variables, x and y.xi -3 12 6 20 14yi -55 40 55 10 15 Develop the estimated regression equation by computing the values of b0 and b1 using b1 = Σ(xi − x)(yi − y) Σ(xi − x)2 and b0 = y − b1x. y= ____________________ Use the estimated regression equation to predict the value of y when x = 7. _____________________________Based on the table below, compute the regression line that predicts Y from X. MX MY sX sY r10 12 2.5 3.0 -0.6