7) Use computer software to find the best multiple regression equation to explain the variation inthe dependent variable, Y, in terms of the independent variables, X1, X2, X3.7)_х,X298.6101.287.497.6108.5110.1102.496.7110.4CORRELATION COEFFICIENTS100.998.2104.3Y/ X1 = 0.850Y/ X2 = 0.742102.399.8107.2101.5 100.5 105.8101.6 103.2107.8101.6 107.8103.499.8 96.6 102.788.9COEFFICIENT OF DETERMINATION100.3104.1YI X1 = 0.723Y/ X2 = 0.550YI X1, X2 = 0.86799.2%3D97.6 75.197.276.9 99.797.384.6 102.096.090.694.399.2103.1 97.7100.3 105.1 101.1102.3100.3 96.4104.1 104.4 104.4105.3 110.7 108.5107.6 127.1 111.3B) Ý = 58.9+0.612X1A) Ý = 57.6+0.153X, +0.270X2C) Ý = 52.6+0.462X2%3DD) Ý = 48.0+0.398X, +0.228X2%3D

Excel is used to analyse the provided data to obtain the required regression line. Steps are as:…

Answered: 7) Use computer software to find the…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 12CR

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A trucking company considered a multiple regression model for relating the dependent variable y = total daily travel time for one of its drivers (hours) to the predictors x, = distance traveled (miles) and x, = the number of deliveries made. Suppose that the model equation is Y = -0.800 + 0.060x, + 0.900x2 + € (a) What is the mean value of travel time when distance traveled is 50 miles and four deliveries are made? 5.8 v hr (b) How would you interpret ß1 = 0.060, the coefficient of the predictor X1? o When the number of deliveries is held fixed, the average change in travel time associated with a one-mile (i.e. one unit) increase in distance traveled is 0.060 hours. O The total daily travel time increases by 0.060 hours when the distance traveled increases by 1. O When the number of deliveries is constant, the average change in travel time associated with a ten-mile (i.e. one unit) increase in distance traveled is 0.060 hours. O The average change in travel time associated with a…
A trucking company considered a multiple regression model for relating the dependent variable y = total daily travel time for one of its drivers (hours) to the predictors x₁ = distance traveled (miles) and x₂ = the number of deliveries made. Suppose that the model equation is Y = -0.800+ 0.060x₁ +0.900x₂ + e (a) What is the mean value of travel time when distance traveled is 50 miles and four deliveries are made? hr (b) How would you interpret ₁ = 0.060, the coefficient of the predictor x₁? O When the number of deliveries is constant, the average change in travel time associated with a ten-mile (i.e. one unit) increase in distance traveled is 0.060 hours. O The total daily travel time increases by 0.060 hours when the distance traveled increases by 1. O When the number of deliveries is held fixed, the average change in travel time associated with a one-mile (i.e. one unit) increase in distance traveled is 0.060 hours. O The average change in travel time associated with a one-mile (i.e.…
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The equation used to predict college GPA (range 0-4.0) is y = 0.17 +0.51x, +0.002x,, where x, is high school GPA (range 0-4.0) and x, is college board score (range 200-800). Use the multiple regression equation to predict college GPA for a high school GPA of 3.8 and a college board score of 500. The predicted college GPA for a high school GPA of 3.8 and a college board score of 500 is (Round to the nearest tenth as needed.)
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The number of hours 9 students spent studying and their resulting test scores have a significant linear correlation. The equation of the regression line (line of best fit) y' = 42.518+7.013x If a student studies for 5 hours for the test, he/she can expect to get a score of Select ] on the test (round to the nearest whole number). The y-intercept of [Select] means that a student who studied [Select ] hours can expect to get a score of Select] on the test (round to the nearest whole number). The slope of [Select] means that for every additional hour a student studies for the test, he/she can expect to Select ] the test score by [Select] points (round to the nearest whole number).

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