2. A botanist is willing to understand the relation between volume, girth and height of black cherry trees.To this end, she collects data that is presented in trees table of the datasets library. Build a predictivemultiple linear regression model for volume using girth and height as independent variables.a. What does the F-test tell about the model? Explain the result using the null hypothesis of thetest.b. Provide confidence and prediction intervals for a black cherry tree with 10 inch of girth and 82feet tall.

***Since there are no data values given in the question, the answers for the sub-parts are…

Answered: 2. A botanist is willing to understand…

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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Seven North American Green Frogs (Rana clamitans) had their jumping distance recorded (in mm) multiple times in a laboratory. The mean jumping distance for these frogs along with their length (measured from snout to vent in miMillimeters) are presented in the table below. Length of Frog 52 68 37 65 77 81 59 Mean Jumping Distance 546 673 415 659 793 814 563 (a) Determine the linear regression model that will best predit the mean jumping distance of a North American Green Frog based on the frog's length. (b) How well does the linear regression model fit this sample data? (c) Use the linear regression model to predict the mean jumping distance of a North American Green Frog that is 48 mm in length. No excel, please.
Is there a relationship between total team salary and the performance of football teams? For a recent season, a linear model predicting Wins (out of 16 regular season games) from the total team Salary (SM) for 32 teams in a football league is Wins = -6.353 +0.105 Salary. Complete parts a through h below. a) What is the explanatory variable? The explanatory variable is because b) What is the response variable? The response variable is because c) What does the slope mean in this context? in this league, team (Type an integer or a decimal. Do not round.) are, on average, about higher for every d) What does the y-intercept mean in this context? Is it meaningful? V is This v meaningful because it The y-intercept is the average of a team in this league whose is (Type an integer or a decimal. Do not round.) e) If one team spends $10 million more than another on salary, how many more games on average would the first team be predicted to win? O game(s) (Type an integer or a decimal. Do not…
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An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage. v. The une ory tor ine most recent m odel year. Complete parts (a) through (d) accompanying data represent the weights of various domestic cars and their miles per gallon in BEE Click here to view the weight and gas mileage data (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. y = 0.00702 * + (43.2) (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice.answer trom part a to find this answer O A. For every pound added to the weight of the car, gas mileage in the city will decrease by mile(s) per gallon, on average. A weightless car will get miles per gallon, on averag B. For every pound added to the weight of the car, gas…
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Using a sample of recent university graduates, you estimate a simple linear regression using initial annual salary as the dependent variable and the graduate's weighted average mark (WAM) as the explanatory variable. If the regression model has an estimated intercept of 3200 and an estimated slope coefficient of 550, what is the predicted starting salary of a student with a WAM of 64?
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o view the weight and gas mileage data. t-squares regression line treating weight as the explana Car weight and MPG efficient to five decimal places as needed. Round the c e slope and y-intercept, if appropriate. Choose the corre er from part a to find this answer.) Miles per Weight (pounds), x Gallon, y ntless car will get miles per gallon, on average. It is n 3661 17 ery pound added to the weight of the car, gas mileage in 3931 17 pt. 2711 25 ery pound added to the weight of the car, gas mileage in 3592 19 h, on average. ot appropriate to interpret the slope or the y-intercept. 3348 21 3066 22 gas-powered car weighs 3621 pounds and gets 17 miles p 3700 17 2577 25 d average miles per gallon for cars of this weight is mi 3471 19 ree decimal places as needed.) 3734 18 be reasonable to use the least-squares regression line to p because the hybrid is a different type of car. because the absolute value of the correlation coefficient is Print Done =, because the hybrid is partially powered…

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