Question

QUESTION 4 The following table shows the per-person carbon dioxide emissions for the United States and for the rest of the world over six years Non U.S. U.S. 4.2 18 3.8 175 4 17 186 3.9 17.5 3.8 16.5 The least squares regression equation is 9 3 20.9878 - 0.9175x. If the non-US emissions differ by 0.5 from one year to the next by how much would you predict the U.S. emissions to differ? O 0.46 -0.46 0 -0.92 -183

Answer 1

(Non-U.S. where, E is normally -- Leto y: carbon dioxide emissions for the United States (U.s.) 3: Carbon dioxide emissions for the rest of the world Let us consider, following linear model – y = 8 +BX+E distributed random where, emon.) =y-intercept R = slope of the regression model. Using least square method, the estimated regression equation i8 – 20.9848 0.9145x, where, ŷ predicted value of y. Ê = estimated y-intercepte 20.9848. 3 estimated slope = -0.9175. Note that, the slope gives the expected change in y value ie, carbon dioxide emissions ford U.S., when we change the x-value by If, the non-V.S. emissions differ by 0.5 from one year to the next year, then the predicted change in U.S. emissions, is @xx) = (-0.9145 X0.5) ñ -0.46 --- Answer, by l'unit.