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Point) The age, in years, x, and the neck girth; in inches; Y, of a certain species of animal has regression line Y = 6x + 10."Spot' is one of these anima...

Question

Point) The age, in years, x, and the neck girth; in inches; Y, of a certain species of animal has regression line Y = 6x + 10."Spot' is one of these animals He is 39 years old, and the residual associated to him is 2.5. What is Spot's neck girth?Report your answer to one decimal place (e.g-, 3.1).Answer:

point) The age, in years, x, and the neck girth; in inches; Y, of a certain species of animal has regression line Y = 6x + 10. "Spot' is one of these animals He is 39 years old, and the residual associated to him is 2.5. What is Spot's neck girth? Report your answer to one decimal place (e.g-, 3.1). Answer:



Answers

In an effort to produce a formula for estimating the age of large free-standing oak trees non-invasively, the girth $x$ (in inches) five feet off the ground of 15 such trees of known age y (in years) was measured. The sample data are summarized by the following information. Compute the linear correlation coefficient for these sample data and interpret its meaning in the context of the problem.

So for those questions we have, um, why is equal to um, a X plus B. We have a is equal to six points, 6.321 We have B. Is it go to minus 1.44 and then we have are is equal to minus zero point 970 So and the questions wants us to determine if there's a relationship between the diameter and diameter eyes X from the question, he says dramatized X on the what number is the relationship between diamonds, her ex and the trees age. Which is why so what's know if the divisions between X and Y and then the question also say's That's on the ex. The damage ties 10 inches, so yeah, definitely X is it quoted hand. We want to know if there's a relationship between X and Y, but we don't know why. But we have a formula for why from youth so plugging that it in, that's going to be why is it quote, too? We know a A 6.36 point 301 so it's going to be 6.301 multiplied by X X s 10, then close plus B, but B the negative numbers. So that's going to be calm. Minus B. So why this one point 044 and then this is going to be called. So why? Why are we equal to six points? 63 points you go one my nose. One point still 44 And then why is going to be cold too? 61 point 966 But since why is the value for the years? So we're going to approximate it into, um, 62 years, so he gives a real number. And that's the answer. I'm sorry about that pretty industry answer.

To begin this problem, we need to think about the ratio given horse's age. Six years to humans. Humans aging three years for every three years of human ages, this ratio could be reduced if we divide both these numbers by three. Um, we can get hordes. Horses age two years for humans aging one year to every one year a human ages horses will age two years. The ah, the equation we're gonna right here is horses. Age is equal to, um, twice. Ah, humans age H and h you gotta do this differently. Um, well, just say ah, well say why an X? Let's do why is wise horses so horses? Why age as equal to twice? Ah, humans Age will do X for humans. So for every time, like for example, if I put one in here one to the X here for the huge age of human two times, one should be too, which is the age of a horse. Why equals two? And that should work for the three and 60. If I put three into the axe year two times three should be the six. So this equation works for finding the age of the horse or human when given one of their ages. So this is our equation. Y equals two X. Now we want to think about how old, Ah, horses. If the human is 21 years old, So we're gonna go ahead and take the 21. We're gonna put it into the age of the human. So put two times 21 we're gonna multiply, which should give us two tons. 21 is 42. What that means is when a human is 21 a horse would be 42 years old. This is

The following the solution number 20. And there are three parts were asked to compute the least squares regression line from number 20 in section 10.2 and this is about the girth of trees and predicting age of that particular tree. So I wrote some stuff down here. So beta one half of the slope prediction is S. S Xy over S S X X. And we actually already found this stuff in problem number 20 and section 10.2 S. S xy is 474,000 650 point for 667 and then the Ss X. X. If you look back at This problem, you get 161, point 7333. And whenever you simplify that, you should get about 2.938. So there's your slope or your estimated slope. Your point estimate for the slope about 2.938. Now to get the Y intercept beta, not hat we take Y bar minus beta one hat times X. Bar. And the Y bar is just the mean. So we take some asian of why divided by the sample size And again this is all given to you. So the summation of why why Just some ancient why is 64 96? And the sample size here was 15. And whenever you take 64 96 2 by 15, you should get 433 point zero 667. And then X bar is the summation of X divided by that sample size. And the summation of X was given to you as 33 68 And sample size of 15. And so whenever you plug that in you should get 224.533. Okay, so now we're actually able to find um beta not hat so why bar Is 433.667. And then Beta one. Hat we found to be 2.938 And X. Bar. is that to 24 .5333. So when we plug that into the calculator you should get, it's actually negative this time. So negative to 26.612. So there is the Y intercept and we're finally able to put it together. Y hat equals 2.938 x minus 2. 26.612. Okay, Next up is the interpretation within the context of the problem And this is about girth and age of tree. So we can say for each additional okay inch of girth the age of the trees increases are the ages I should say. Oh make sure the grammar is right? So the ages increase on average, Bye 2.93, 8 years. They were supposed to estimate the age of an oak tree whose girth is 92 inches. So 92 is your ex value, you simply plug it into that formula or the the least squares regression line. So why had equals 2.938 Times The 92 And then -226.612. And whenever you plug that and you should get about 43.684 years. Okay, so on average a tree and oak tree with Um 92" of earth Is about 43.684 years old.

Right, is it questo lent off few months. Centimeter and X is the length off adult. It may be male or female, but for female we have different criterias to be followed for female. Why is equal to 0.386 times off X minus 19.20 and it is given that the length off Umer bone in the female is 40 centimeters. So putting wise you close to 43 in the equations. What we get figured, 43 is equals Toe 0.386 times off x minus 19.2, adding 19.2 On both side, we get 43 plus 19.2. Is it close to 0.36 eggs? So this will be 62.2. Geological 20.3 or six times affects dividing both sides with 0.36 We are the next issue, close to 62.20 divided by 0.386 and that is equal to 1 61.139 So the height off the female is 1 61.139 centimeters


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