student obtained the following two regression equations. Do you agree with him? (1) 6X=15Y+21, (ii) 21X+14Y=56
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student obtained the following two regression equations. Do you agree with him?
(1) 6X=15Y+21,
(ii) 21X+14Y=56
Step by step
Solved in 2 steps
- Given the regression equation: Yhat = 4.5 + 67X + 32D, where D is a dummy variable with D=1 if observation is female and D=0 if male. Y is online shopping expenses per month, in hundereds of pesos . What does the coefficient 32 mean?What can you tell me about the following linear regression equation? Y’ = 3.25x + 19.3In the linear regression equation,Y= 3(X) + 1, When X increases by 4 Points, why will increase by____ 4 point 13 points 12 points 7 points
- Find the means of X and Y variables and the coefficient of correlation between them from the ff two regression equations: 2Y-X-50 = 0 3Y-2X-10 = 0The equation of the regression line that relates hours per week spent in the tutor lab, xx, to GPA, yy, is y=1.8+0.26xy=1.8+0.26x. a. What is the best prediction for the GPA of students who never go to the tutor lab? b. What is the best prediction for the GPA of students who spend 3 hours in the tutor lab? c. What is the best prediction for the GPA of students who spend 5 hours in the tutor lab?A sports statistician was interested in the relationship between game attendance (in thousands) and the number of wins for baseball teams. Information was collected on several teams and was used to obtain the regression equation ŷ = 4.9x + 15.2, where x represents the attendance (in thousands) and ŷ is the predicted number of wins. What is the predicted number of wins for a team that has an attendance of 2,100?
- A sports statistician was interested in the relationship between game attendance (in thousands) and the number of wins for baseball teams. Information was collected on several teams and was used to obtain the regression equation ŷ = 4.9x + 15.2, where x represents the attendance (in thousands) and ŷ is the predicted number of wins. What is the predicted number of wins for a team that has an attendance of 17,000? 83.3 wins 98.5 wins 258.4 wins 263.3 winsFor the regression equation, Y = 2X – 3, if X = 7 what is the predicted Y?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 grades of a sample of 9 students on a prelim exam (x) and on the midterm exam (y) are shown in the excel worksheet. Find the regression equationThe admissions officer for a certain college developed the following estimated regression equation relating the final college GPA to the student's SAT mathematics score and high school GPA. ŷ = −1.39 + 0.0234x1 + 0.00482x2 where x1 = high-school grade point average x2 = SAT mathematics score y = final college grade point average. #1) The given regression equation follows where x1 is the high-school grade point average, x2 is the SAT mathematics score, and y is the final college grade point average. ŷ = −1.39 + 0.0234x1 + 0.00482x2 We are to predict the final college GPA for a student who has a high-school average of 84 and scored 535 on the SAT mathematics test. Thus, the corresponding values to substitute into the regression equation are x1 = and x2 = .In a statistics course, a linear regression equation was computed to predict the final exam score from the score on the midterm exam. The equation of the least‑squares regression line was ?̂ =10+0.9?,y^=10+0.9x, where ?y represents the final exam score and ?x is the midterm exam score. Suppose Joe scores an 80 on the midterm exam. What would be the predicted value of his score on the final exam?
