![]() So now that we've done that, we want to use our least cosigestion line. 994, and this tells us that 90, no 99.4 percent of the variation in weight can be explained by the variation in age of the gap. I can use this 1 a bit more because if you have the data, it's easy to get these the standard deviations, but you can also get em with this formula here, the riot of the x, the sum of the x squares or your term for each x Or y value, squared minus n times the square up well, is actually the same same kind of thing here this it's like this, some of x, squared minus n times the mean squared and the mean, is just your 95 divided by the mean x bar, is equal To the sum of the x's over n: what's that you either way you get the same values and so our line? These are the the a and b values the constant at slope- 26.327 plus 4.748 x great, and then we want to find the coefficient of determination, which is the square of the r value 4.97. I usually use are these a equals equals y r minus b times x, r s what's, b, b is equal to r times the sample standard ovations y times sample divided by the standard deviation of x. I got i'll, show another set of formulas that i actually like better than these, especially especially, if we disn'tworkwan the ones. Y hat equals a plus b x, where b is your sloop and the formulas are here. We want to find the least square regression line and we want to write it. Squared- and this is the sum of x in 2325- and then there we go so you do the substitutions into this formula. So i noticed that this is taking that 95. You'Ve got the square root with all this stuff, underneath it and then there's these are parentheses here, so just be war, so you've got n times the sum of x, squared minus the sum of the x is squared. Let me clear this out here we go and then numerator just be careful with that. That'S your numerator! Just careful of your order of operations and then to denominator same thing, careful with your order of operations, this bigger force, the words are less the less important than the king in the data herehe, you go hope we got a little easier for us to see. Some of x is timpson y negative, 5 times 69 point. It'S not state it here that the sum of those products right here so n times that 13777 minus the sum of these of x times some of ye. I use this formula there's a lot of stuff going on in here. Now we want to find in the sample correlation coefficient r. This is the sum of the x y values x times y values, all right, so we're good to go there. This is the sum of the is here 9 and then somebody, this number 95 point, and then right here. This column is some together that so this is the sum of the x squared. Then they check out with what you're given here, that's all good, and so i i took the spread you take your x values you square each 1. I actualized questions and but will go through what i did and how i did it to answer these questions now were given some data on the age of a calf and the weight of the corresponding calf, and that's what we have here and were also given the Sums of x times y some of x square, some of y squared its approximate x and y, we're told to verify it and when you have a spread sheet verifying it is super nice and easy and also thorough. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms).Īll right so were so. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. You are the foreman of the Bar-S cattle ranch in Colorado. Round your answer to two decimal places.) What does the least-squares line predict for a healthy weight (in kg)? (Enter a number. The calves you want to buy are 17 weeks old. Round your answers for the percentages to one decimal place.) Round your answer for r2 to three decimal places. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (For each answer, enter a number. ![]() = value of a coefficient + value of b coefficient xįind the value of the coefficient of determination r2. ![]() Round your answers for a and b to three decimal places.) Round your answers for and to two decimal places. Then find the equation of the least-squares line = a + b x. Round your value for r to three decimal places.)įind, and. Verify the given sums Σx, Σy, Σx2, Σy2, Σx y, and the value of the sample correlation coefficient r. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). SOLVED: You are the foreman of the Bar-S cattle ranch in Colorado. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |