The following multiple regression printout can be used to predict a person's height (in inches) given his or her shoe size and gender, where gender - 1 for males and 0 for females. Regression Analysis: Height Versus Shoe Size, Gender Coefficients Coef SE Coef 1.06 T-Value P-Value 0.000 0.000 Term Constant 55.21 52.08 Shoe Size 1.169 0.18 Gender 2.574 0.488 5.27 0.000 (a) Find the value of the test statistic for shoe size. (Round your answer to two decimal places.) (b) Is the regression coefficient of shoe size statistically significant? (Use a = 0.05.) The regression coefficient of shoe size --Select-v statistically significant. (c) Does the variable shoe size belong in the model? The variable shoe size -Select-- v belong in the model.

The following multiple regression printout can be used to predict a person's height (in inches) given his or her shoe size and gender, where gender - 1 for males and 0 for females. Regression Analysis: Height Versus Shoe Size, Gender Coefficients Coef SE Coef 1.06 T-Value P-Value 0.000 0.000 Term Constant 55.21 52.08 Shoe Size 1.169 0.18 Gender 2.574 0.488 5.27 0.000 (a) Find the value of the test statistic for shoe size. (Round your answer to two decimal places.) (b) Is the regression coefficient of shoe size statistically significant? (Use a = 0.05.) The regression coefficient of shoe size --Select-v statistically significant. (c) Does the variable shoe size belong in the model? The variable shoe size -Select-- v belong in the model.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 30PT: For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or...

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For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracy
Suppose a commercial developer in Vereeniging consider to purchase a group of small office buildings in an established business district. He uses multiple linear regression analysis, which was based on a sample of 35 office buildings, to estimate the value of an office building in a given area based on the following variables. Y = Assessed value of the office building (in Rand) X1= Floor space in square meters X2= Number of offices X3= Age of the office building in years Answer the questions that follow by typing only the letter of the correct option (A, B, C, D or E) in the answer spaces provided. Variablesy: Valuex1: Floor Spacex2: Officesx3: Age Model Fitting StatisticsR^2 = 0.9752Adj R^2: ? Regression Coefficients Beta Parameter Standard b Parameter Standard Estimates Error of Beta Estimates Error of b t Statistic Prob > |t|Intcpt…
Suppose that a kitchen cabinet warehouse company would like to be able to predict the area of a customer’s kitchen using the number of cabinets and the kitchen ceiling height. To do so data is collected on the following variables from a random sample of customers: Area – area of the kitchen in square feet Height – ceiling height in the kitchen (from floor to ceiling) in inches Cabinets – number of cabinets in the kitchen Suppose that a multiple linear regression model was fit to the data and that the following output resulted: Coefficients: (Intercept)HeightCabinets Estimate-57.98771.2760.3393 Std. Error8.63820.26430.1302 t value -6.7134.8282.607 Pr(>|t|)2.75e-074.44e-050.0145 What is the predicted area of a kitchen with a height of 96 inches and 10 cabinets? Report your answer to 1 decimal place. square feet
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