Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition + Mathxl 1-year License
5th Edition
ISBN: 9780133314533
Author: Prentice Hall
Publisher: Prentice Hall
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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
The equation of a regression line is Y = 5.8 + 4x
Estimate the value of Y when x 13?
The growth rate of the population P of Horry county in South Carolina from 1970 through 2013 can be modeled bydP = 145.52t + 2002.3 dtwhere t is the time in years, with t = 0 corresponding to 1970. The county’s population was 289,650 in 2013. (Source: U.S. Census Bureau)(a) Find the model for Horry County’s population.(b) Use the model to predict the population in 2021. Does your answer seem reasonable? Explain your reasoning.
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- 21arrow_forwardUse the regression equation, Ŷ = 3X + 4, to find the predicted Y value corresponding to X = 2 The predicted Y value = ?arrow_forwardInvestment 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 Searrow_forward
- Ethel and Rick are planning a cross-country road trip. They have been gathering data on the cost of renting a vintage car for their road trip. From this data they have formed a linear regression equation with one independent variable, "x." The prediction (regression) equation represents the cost of renting the vintage car for their trip and is: y' 85 + 2x, where x is the total number of miles driven. If they plan to drive 1000 miles, what will be the predicted cost of renting the vintage car? $2,085 $285 $8,500 $2,850arrow_forwardSmith is studying the relationship between length (X) and weight (Y) of infants. Please help him fit an exponential growth model to find the relationship between length and weight. Write down the model and explain how to fit the model (i.e., how to estimate regression coefficients) and what the intercept is for the relationship between X and Y (in symbolic form).arrow_forwardHow would I complete this problem? I'm not sure how to get it started. Thank you.arrow_forward
- A red maple sapling was 3 feet tall when planted in 2010. Six years later, the tree was 18 feet tall. The growth rate of the tree is constant over time. Find a linear model for the height H (in ft) of the red maple t years after 2010. Let t = 0 represent 2010. H = What is the expected height (in ft) of the red maple in 2020? ftarrow_forwardFind the r^2 valuearrow_forwardThe equation used to predict annual cauliflower yield (in pounds per acre) is y =24,231 + 4.417x, - 4.677x,, where x, is the number of acres planted and x, is the number of acres harvested. Use the multiple regression equation to predict the y-values for the values of the independent variables. (a) x, = 36,100, X2 = 36,500 (b) x, = 37,800, X2 = 38,100 (c) X4 = 38,800, X2 = 39,000 (d) x, = 42,100, X2 = 42,200 %3D %3D (a) The predicted yield is pounds per acre. (Round to one decimal place as needed.)arrow_forward
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