Economists wish to look at the relationship between the price of regular unleade
ID: 3227733 • Letter: E
Question
Economists wish to look at the relationship between the price of regular unleaded gasoline in the U.S. (units $/gallon) and the acquisition cost of OPEC crude oil units $10/barrel Summary measures for a random sample of 13 years are given below. 13 34.9 99.77 329.67 175.55 Question 1 What is the estimated regression equation? (Specify which variable is y and which is x) price ot Ras cost of oi Question 2 Show the ANOVA table. MS Regression Error Total Question 3 What is the r2 for this model? Question 4 What is the 98% confidence interval for B1 (with appropriate units)? gallons/barrel gallons/barrel Lower Endpoint Upper EndpointExplanation / Answer
Q5. F-value is present in Q3 ANOVA table.
Q7A. y(at x=1.7) = 1.414 + 0.273*X= 1.88
Excel formula (copy & paste this at start of sheet):
cov(x,y) 1.010059 var(X) 3.700947 MEAN(X)= 4.653846 var(y) 0.467456 MEAN(Y)= 2.684615 Q1. intercept 1.414492 SLOPE= 0.272919 Y=1.414 + 0.273*X Q2. ANOVA Table source ss df MS F-stat p-value Regression 3.583638 1 3.583638 15.81048 0.002173 Error 2.493285 11 0.226662 Total 6.076923 12 Q3. R-sq for model correation= 0.767927 R-sq= 0.589713 Q4. CI for slope beta: Std error for beta= 0.068638 t(for 98% ci)= 2.878929 lower end= 0.075317 upper end= 0.470522Related Questions
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