Measuring the height of a tree is usually more difficult than measuring the diameter of the tree. Therefore,many researchers use regression models to predict the height of a tree from its diameter measured at 4feet 6 inches from the ground. The following computer output shows the results of a linear regressionbased on the heights, in feet, and the diameters, in inches, recorded from 31 felled trees. Which of thefollowing statements are true about this regression model? (There is more than one statement that is true.A correct answer includes selecting ALL of the true statements.)InterceptDiameterEstimate62.0311.054Std Error4.3830.322t value14.153.27Pr(> |t)0.00000.0028The degrees of freedom is n - 1 = 30.The standard error of the height is 0.322.The degrees of freedom is n - 2 = 29.The slope of the regression line is 62.031.The slope of the regression line is 1.054.A 90 percent confidence interval for the slope of the population regression line is (0.396, 1.712).A 95 percent confidence interval for the slope of the population regression line is (0.396, 1.712).The standard error of the diameter is 0.322.

n = 31Degrees of freedom = n - 2 = 31 - 2 = 29Assume Confidence interval = 0.95Significance level…

Answered: Measuring the height of a tree is…

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 park has kept the number of visitors since its opening in January. For the first six months of the year, the following numbers were recorded: Month Number of visitors Month Number of visitors January 133 April 640 February 183 May 1,879 March 285 June 2,550 Estimate the intercept and slope of the linear regression equation for forecasting the numbers of visitors. What are the forecasts for July through December of the year using the regression equation? The numbers of visitors to the park were 2,150 in July, and 2,660. Use Holt’s method with α=0.15 and β= 0.10 to find the one-step-ahead and two-step-ahead forecasts for September and October, respectively.
Please answer parts d, e and f.
The applet displays a scatterplot with the following points: (7,10),(27,35),(24,25),(8,12),(10,19),(15,22). Identify the slope of the regression line, intercept of the regression line, and correlation coefficient. Report your answers accurate to within two decimal places.
Researchers are interested in predicting the height of a child based on the heights of their mother and father. Data were collected, which included height of the child ( height), height of the mother ( mothersheight ), and height of the father (fathersheight ). The initial analysis used the heights of the parents to predict the height of the child (all units are inches). The results of the analysis, a multiple regression, are presented below. . regress height mothersheight fathersheight Source Model Residual Total height mothersheight fathersheight _cons SS 208.008457 314.295372 522.303829 df 2 104.004228 8.49446952 37 MS 39 13.3924059 Coef. Std. Err. .6579529 .1474763 .2003584 .1382237 9.804327 12.39987 t P>|t| 4.46 0.000 C 0.156 0.79 0.434 Number of obs = F( 2, 37) = Prob > F R-squared Adj R-squared = Root MSE = = .3591375 -.0797093 -15.32021 = 40 12.24 0.0001 0.3983 0.3657 2.9145 [95% Conf. Interval] .9567683 .4804261 34.92886 What are the null and alternative hypotheses…
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