Help with this question that has a few parts! thank you!
Massive localized lymphedemas are benign masses that appear in obese people, typically on the thigh. A group of researchers is interested in modelling the mass of the lymphedemas (measured in grams) that occurred in a group of individuals. They t a multiple linear regression model to their data and obtain the following model: 3} = 224.7 + 58.13.31 + 226.6:32 78.11133 where y is the mass of the lymphedema in grams x1 is the weight of the individual, in pounds. x2 is an indicator variable for sex (1 for male, 0 for female). X3 is the height of the individual, in inches. Select all of the following statements that are definitely true: O Of a man and woman with the same height and weight, the man will be predicted to have a heavier lymphedema O B1 = 58.13, B2 = 226.6, 83 = -78.11 O The value of the adjusted R2 can be determined from the information given. O b1 = 58.13, b2 = 226.6, b3 = -78.11 O If the correlation between y and x1 is .7, the R2 of the model must be at least .49 O x1 is independent of X3.When the F test for this model was performed at a 5% significance level, we obtained a test statistic of 6.73. If the numerator and denominator degrees of freedom were 2 and 81, respectively, state the conclusion of the test in context. Explain how you came to your conclusion.Steven is a male who is 6 feet tall (recall that one foot=12 inches) and weighs 438 pounds. If the actual mass of his lymphedema is 19,387 grams, find the residual associated with Steven's lymphedema measurement if we used the model to predict the size of his lymphedema. Do not round your answer.Gianna and Nancy are two women of the same weight. Suppose Gianna's predicted lymphedema mass is g, and Nancy's predicted lymphedema mass is n. If Nancy is 1.57 inches taller than Gina, what is the value of g-n? Round your answer to two decimal places.Suppose that individual t-tests were performed on the coefficients of X1, X2, and x3 to see if their true individual coefficients significantly differed from 0. Each test was conducted at the 5% significance level. We obtained the following results for each test: Test 1: p-value: 0.009 Test 2: p-value of 0.120 Test 3: p-value of 0.019 According to these results, we have sufficient evidence to conclude that k of the coefficients are significantly different from 0. What is the value of k?Suppose that the researchers decided to t log(y) on x1, x2, and X3. Thus, they have the new model: 109(3)) 2 1.35 + .018(:1:1) + 1.95m2 .025(w3) If Brooke is a female that weighs 511 pounds and is 65 inches tall, nd the predicted mass of her lymphedema using this new model. Round your answer to two decimal places
