Chapter 7.1, Problem 33E

X₁ is the The volume (in cubic feet) of a black cherry tree can be modeled by the equation y = -51.2 +0.4x₁ + 4.8x2, where tree's height (in feet) and x₂ is the tree's diameter (in inches). Use the multiple regression equation to predict the y-values for the values of the independent variables. (a) x₁ = 73, x₂ = 8.8 (b) x₁ = 67, x₂ = 11.5 (c) x₁ = 85, x₂ = 17.6 (d) x₁ = 92, x₂ = 20.8 cubic feet. (a) The predicted volume is (Round to one decimal place as needed.) (b) The predicted volume is cubic feet. (Round to one decimal place as needed.) (c) The predicted volume is cubic feet. (Round to one decimal place as needed.) (d) The predicted volume is cubic feet. (Round to one decimal place as needed.) Next

Investment analysts generally believe the interest rate on bonds is inversely related to the prime interest rate for loans; that is, bonds perform well when lending rates are down and perform poorly when interest rates are up. Determine the SSE and the se by using = 17.13 -0.99115 x. Examine the variables being analyzed by Se regression in this problem and comment on the value of se. Prime Interest Rate (x%) Bond Rate (y%) SSE = Se= 13 for bonds. 6 8 4 7 5 ** 13 9 14 7 Predicted (1) out of 5 ( 4.2478 11.1858 9.2035 13.1681 10.1947 Residuals (y - y) 0.7522 *(Do not round the intermediate values. Round your answer to 4 decimal places.) **(Round your answer to 3 decimal places.) 1.8142 -0.2035 0.8319 -3.1947 %) of the estimates are within the value of se of the actual rate Se

The equation of a regression line is Y = 5.8 + 4x Estimate the value of Y when x 13?