Consider a simple OLS model that regresses college GPA (gpa) on high school GPA (hsgpa) andparental income (pincome, in $1000 per month).gpa = B1 + B₂hsgpa + B3pincome + e.Empirical estimation using observations generates the following STATA output.SourceModelResidualTotalgpahsgpapincome_consSS1273.27041671.879965Coef.dfStd. Err..6866603 .0103571.3033177 .0066108-.6697239.0358777O [0.290360532, 0.316274868]O [0.2967069, 0.3099285]O [0.292442934, 0.314185466]O [-0.012957168, 0.012957168]MStConstruct the 95% confidence interval for parental income.Number of obsF(2, 3997)Prob > FR-squaredAdj R-squaredRoot MSEP>|t|====4,000[95% Conf. Interval]

Solution: Given information: n= 400 observation k= 2 independent variables

Answered: parental income (pincome, in $1000 per…

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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A regression model relating x, number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following regression output. Where ntotal = 40. ANOVA df SS MS F Significance F Regression 6,759.5 Residual Total 9,031.4 Coefficients Standard Error t Stat P-value Intercept 75.0 10.408 Number of 40.0 5.323 Salespersons a. Write the estimated regression equation (to whole number). ŷ = + b. Compute the F statistic and test the significance of the relationship at a 0.05 level of significance. (to 2 decimals) F-value p-value is - Select your answer - we - Select your answer - v Ho c. Compute the t statistic and test the significance of the relationship at a 0.05 level of significance. (to 2 decimals) t Stat p-value is - Select your answer - we - Select your answer - v Ho: B, d. Predict the annual sales at the Memphis branch office. This branch employs 10 salespersons. $ thousand (to whole number) %24
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Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 42 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 8.00 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) the distribution of volumes is uniform? is knownn is largethe distribution of volumes is normal? is unknown (c) Interpret your results in the context of this problem. We are 99% confident that the true average blood…

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