The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/hr).PredietorCoefSE CoetConstant0.85700.41482.060.04Weight0.302430.0297813.520.000B0.51750eR-Bg 97.4(a) Write out the least-squares equation.(b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.)(c) What is the value of the correlation coefficient ? (Use 3 decimal places.)

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Answered: hr). weight of a child (in kilograms)…

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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A regression of average monthly expenditure (AME, measured in euros) on average monthly income (AMI, measured in euros) using a random sample of college-educated full-time workers earnings €100 to €1.5 million yields the following: AME = 710.7 + 8.8 × AMI, R2 = 0.030, SER = 540.30 d. What does the regression predict will be the expenditure of a person with an income of €100? With an income of €200? e. Will the regression give reliable predictions for a person with an income of €2 million? Why or why not? ( f. Given what you know about the distribution of earnings, do you think it is plausible that the distribution of errors in the regression is normal? (Hint: Do you think that the distribution is symmetric or skewed? What is the smallest value of earnings, and is it consistent with a normal distribution?).
The peanut crop was harvested from five fields of various area. The following data are the mass of the crop from each field y (in kilograms) and the field area x (in hectares). X 6² Round your intermediate answers to four decimal places (e.g. 98.7654). (a) Fit the simple linear regression model using the method of least squares. Find the estimate of ². Round your answer to the nearest integer (e.g. 9876). i B₁ = (b) What change in the mean mass is expected when the field area changes by 1 hectare? Round your answer to the nearest integer (e.g. 9876). ŷ: 7280 15730 13590 19820 12860 = 2.01 3.93 3.68 4.33 2.33 (c) Calculate the fitted value of y corresponding to x = 2.01. Find the corresponding residual. Round your answer to the nearest integer (e.g. 9876). =
3b
Round to two decimal places as needed.
Stoaches are fictional creatures, sometimes mistaken for mome raths. Suppose a two-tailed t-test is conducted to test for a difference between the population means of adult female stoach weights and adult male stoach weights. The female sample has 13 weights, and the male sample has 7 weights. The t-statistic for the test is -0.20542. What is the p-value? (Give your answer to 4 decimal places.) p-value:
We will _______ if the test statistic lands in the unlikely region. Group of answer choices A. reject the alternative hypothesis B. fail to reject the null hypothesis C. cannot determine D. reject the null hypothesis and accept the alternative hypothesis
log(salary) = 8.34 + 0.0047LSAT + 0.248GPA + 0.095log(libvol) + 0.038log(cost) + 0.0033rank 1+ ɛ 136, R2: = 0.842 n = What is the predicted ceteris paribus difference in salary for institutions with a median GPA different by one point? (Report your answer as a percentage.)
Variable Intercept x1 X2 Variable X₁ X2 LPM -0.30 (0.03) 0.27 (0.06) -0.05 (0.02) a. At the 5% significance level, comment on the significance of the variables for both models. x₁ = 10, X₂ = 14 x₁ = 10, X₂= 25 Logistic -2.50 (0.03) x₁ = 10, x₂ = 14 X₁ = 10, x₂ = 25 LPM Not significant Significant 1.03 (0.07) b. What is the predicted probability implied by the linear probability model for x₁ = 10 with x2 equal to 14 and 25? Note: Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places. Report the probability between 0 and 1 (not in %). ŷ -0.30 (0.01) у Logistic Not significant Significant What is the predicted probability implied by the logistic model for x₁ = 10 with x2 equal to 14 and 25? Note: Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places. Report the probability between 0 and 1 (not in %).

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