11.11 Measuring the moon's orbit. A handheld digital camerawas used to photograph the moon's orbit and the picturesused to measure the angular size (in pixels) of the moon atvarious distances (heights) above the horizon (AmericanJournal of Physics, April 2014). The photographer wantedto predict the moon's size based on the moon's distanceabove the horizon using simple linear regression.a. In this study, identify the dependent and independentvariables.b. Explain why a probabilistic model is more appropriatethan a deterministic model.c. Write the equation of the straight-line, probabilisticmodel.

A study of measuring Moon's orbit has given.

Answered: = (heights) above: s, April 2014). TI…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 76E

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If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use it to find a second model for the data. Graph this new equation along with your first model. How do they compare?
Does Table 1 represent a linear function? If so, finda linear equation that models the data.
Use the Stata output below. The data comes from students in an undergraduate economics course. The regression of interest is: final = 30 +3₁atndrte + B₂hwrte +33priGPA + B ACT .reg final atndrte hwrte priGPA ACT Source Model 3094.70776 Residual 11929.9465 Total final . reg atndrte hwrte priGPA ACT _cons Total .reg final priGPA ACT final priGPA ACT _cons Source Model 2950.00785 Residual 12074.6465 Source ss 15024.6543 Total atndrte hwrte priGPA ACT _cons Coef. Std. Err. SS atndrte hwrte priGPA ACT .0138725 .0183476 .010863 1.906347 -3750236 .3990516 .0535332 9.225908 1.46863 15024.6543 Calculate the se(3₁). Model 89295.5136 Residual 93922.8539 df 4 669 SS 183218.367 673 22.324895 Coef. Std. Err. df 2.390227 .3233916 .3534674 .0505019 11.74854 1.147688 673 MS 773.676939 17.832506 2 1475.00393 671 17.9950022 df MS 22.324895 t P>|t| [95% Conf. Interval] MS Number of obs F(4, 669) Prob > F R-squared 3 29765.1712 670 140.183364 Adj R-squared Root MSE 673 272.241259 Number of obs F(2, 671)…
When Alan is walking his dog, he believes that as he increases his speed, his dog’s heart rate will increase. Since Alan took Statistics at High School and is now a veterinary medicine major at THE Ohio State University, he wants to model this relationship. Alan records his dog’s heart rate in beats per minute (bpm), while walking at each of 7 different speeds, in miles per hour (mph). A scatter plot and regression output are shown below (attached in image): a. Use the computer regression output to write the equation of the least squares regression line. Be sure to define the variables. b. Interpret R-squared in the context of the problem. c. Interpret the slope in the context of the problem. d. Is there sufficient evidence to conclude that there is a relationship between speed and pulse? Explain. e. Alan wants to provide a 98% confidence interval for the slope parameter in his report to his professor at THE Ohio State University. Compute the margin of error that Alan should…
A regression was run to determine if for a certain baseball season, winning percentage, y, and on-base percentage, x, are linearly related. The results were: ˆ y =a+bx a=-0.4875 b=2.94 For this baseball season, the lowest on-base percentage was 0.310 and the highest was 0.362. (a) Write the equation of the Least Square Regression line. ˆ y = -0.4875 Correct + 2.94 x (b) Which is a possible value for the correlation coefficient, r? -1.143 1.235 0.72 -0.68 Correct (c) What does the slope mean in the context of this problem? (d) As the on-base percentage increases by 5 percent, the predicted winning percentage increases Correct by 2.94 Incorrect percent. (e) Would it be a good idea to use this model to predict the winning percentage of a team whose on-base percentage is 0.156? Why or why not? (f) Based on this model, what would you expect the winning percentage to be for a team with on-base percentage 0.35? (Round your answer to three decimal places.)

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= (heights) above: s, April 2014). TI oon's size based n using simple lin