In a study to determine the effect of vehicle weight in tons (x1) and engine displacement in in³ (x2) on fuel economy in miles per gallon (y), these quantities were measured for ten automobiles. The full quadratic model y = h, +ß,x, + b;x; + hr¡ + Px; + Psx;xz + € Was fit to the data, and the sum of squares for error was SSE = 62.068. Then the reduced model y = Bo + Bix1 + Bzx2 + e was fit, and the sum of squares for error was SSE = 66.984. Is it reasonable to use the reduced model, rather than the full quadratic model, to predict fuel economy? Explain.

In a study to determine the effect of vehicle weight in tons (x1) and engine displacement in in³ (x2) on fuel economy in miles per gallon (y), these quantities were measured for ten automobiles. The full quadratic model y = h, +ß,x, + b;x; + hr¡ + Px; + Psx;xz + € Was fit to the data, and the sum of squares for error was SSE = 62.068. Then the reduced model y = Bo + Bix1 + Bzx2 + e was fit, and the sum of squares for error was SSE = 66.984. Is it reasonable to use the reduced model, rather than the full quadratic model, to predict fuel economy? Explain.

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter8: Rational Expressions And Equations

Section8.9: Use Direct And Inverse Variation

Problem 508E: The area of the face of a Ferris wheel varies directly with the square of its radius. If the area of...

See similar textbooks

Similar questions

Find the length of a diagonal of a square whose side is 4 in. long.
Factor: xy+8y+3x+24 .
The area of the face of a Ferris wheel varies directly with the square of its radius. If the area of one face of a Ferris wheel with diameter 150 feet is 70,650 square feet, what is the area of one face of a Ferris wheel with diameter of 16 feet?
The safe load, L, of a wooden beam of width w, height h, and length 1, supported at both ends, varies directly as the product of the width and the square of the height, and inversely as the length. A wooden beam 4 inches wide, 8 inches high, and 240 inches long can hold a load of 5150 pounds. What load would a beam 3 inches wide, 6 inches high, and 192 inches long, of the same material, support? Round your answer to the nearest integer if necessary. Answer How to enter your answer (opens in new window) pounds Keypa Keyboard Short
A real estate analyst believes that the three main factors that influence an apartment's rent in a college town are the number of bedrooms, the number of bathrooms, and the apartment's square footage. For 40 apartments, she collects data on the rent (y, in $), the number of bedrooms (x1), the number of bathrooms (x2), and its square footage (x3). She estimates the following model as Rent = Bo + B1 Bedroom + 82 Bath + 83 Sqft + 2. The following ANOVA table shows a portion of the regression results. df MS Regression 3 5,694,727 1,898,242 50.88 Residual 36 1,343,171 37,310 Total 39 7,037,898 Coefficients Standard Error t-stat p-value Intercept 308 110.0 2.8 0.0010 Bedroom 248 60.8 4.08 0.0007 Bath 92 53.9 1.71 0.1192 Sqft 0.1 0.05 0.0277 The slope coefficient for Bedroom indicates that, holding other explanatory variables constant,
The maximum safe load for ahorizontal rectangular beam varies jointly with thewidth of the beam and the square of the thickness ofthe beam and inversely with its length. If an 8-foot beamwill support up to 750 pounds when the beam is 4 incheswide and 2 inches thick, what is the maximum safe loadin a similar beam 10 feet long, 6 inches wide, and 2 inchesthick?
The maximum load of a horizontal beam that is supported at both ends varies jointly as the width and the square of the height and inversely as the length between the supports. A beam 6 m long, 0.1 m wide, and 0.06 m high supports a load of 360 kg. What is the maximum load supported by a beam 16 m long, 0.2 m wide, and 0.08 m high?
Find a quadratic model for the data, Then use the model to predict the number of bikes sold in November. (Note represent the months as number for example: January = 1, February = 2 etc.)
Find the remaining trig functions?
Suppose that the maximum weight that a certain type of rectangular beam can support varies inversely as its length and jointly as its width and the square of its height. Suppose also that a beam 4 inches wide, 3 inches high, and 18 feet long c support a maximum of 3 tons. What is the maximum weight that could be supported by a beam that is 7 inches wide, 4 inches high, and 6 feet long?
Express the diagonal of a rectangle, d, in terms of its width, w, if the area of the rectangle is 7 square feet. d(w) =
How to resoulve B graphicly ?