A biologist is interested in predicting the brain weight (in grams) of a certain species of bird from itsbody weight (in grams). A least squares regression line was fit to data collected from a randomsample of 28 birds of this species. The equation of the line isŷ = 3.79 + 0.08xwhere ŷ is the predicted brain weight and x is the body weight of the bird. Which of the followinggives the best interpretation of the slope of the regression line?(A) There is an increase of 0.08 grams in the predicted brain weight of this species of bird for everyincrease of 1 gram in body weight.(B) There is an increase of 0.08 grams in the predicted body weight of this species of bird for everyincrease of 1 gram in brain weight.(C) There is an increase of 3.79 grams in the predicted brain weight of this species of bird for everyincrease of 1 gram in body weight.(D) There is an increase of 3.79 grams in the predicted body weight of this species of bird for everyincrease of 1 gram in brain weight.(E) Approximately 8% of the variability in brain weight is predicted by its linear relationship withbody weight.

In a simple linear regression model, the equation of the line is given by y = b0 + b1x, where y is…

Answered: A biologist is interested in predicting…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The owner of a movie theater company used multiple regression analysis to predict gross revenue (y) as a function of television advertising (x,) and newspaper advertising (x,). The estimated regression equation was ý = 83.3 + 2.24x, + 1.30x2. The computer solution, based on a sample of eight weeks, provided SST 25.2 and SSR = 23.455. %D (a) Compute and interpret R² and R,. (Round your answers to three decimal places.) The proportion of the variability in the dependent variable that can be explained by the estimated multiple regression equation is . Adjusting for the number of independent variables in the model, the proportion of the variability in the dependent variable that can be explained by the estimated multiple regression equation is (b) When television advertising was the only independent variable, R = 0.653 and R, = 0.595. Do you prefer the multiple regression results? Explain. %3D 2 Multiple regression analysi v ---Select--- ipreferred since both R2 and R, show ---Select--- O…
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An oil exploration company wants to develop a statistical model to predict the cost of drilling a new well. One of the many variables thought to be an important predictor of the cost is the number of feet in depth that the must be drilled to create the well. Consequently, the company decided to fit the simple linear regression model, where y = cost of drilling the new well (in $thousands) and x = number of feet drilled to create the well. Using data collected for a sample of n=83 wells, the following results were obtained: = 10.5 + 16.20x Give a practical interpretation of the estimate of the slope of the least squares line. An oil exploration company wants to develop a statistical model to predict the cost of drilling a new well. One of the many variables thought to be an important predictor of the cost is the number of feet in depth that the must be drilled to create the well. Consequently, the company decided to fit the simple linear regression model, where y =…
when a regression is used as a method of predicting dependent variables from one or more independent variables. How are the independent variables different from each other yet related to the dependent variable?
please use this situation: A small theater company has a linear regression model to estimate y = the concession stand sales in dollars, based on knowing x = the number of people in attendance. The regression equation is: = 6.72x + 11.50 and the correlation coefficient was r = 0.781. The data set saw the number of people in attendance ranging from a minimum of 18 people to a maximum of 170 people. 1) How reliable would it be to make a prediction for the concession sales amount if there were 500 people in attendance? Explain.
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