Question 4: Suppose that in a certain chemical process the reaction time y (hr) is related to the temperature (°C) in thechamber in which the reaction takes place according to the simple linear regression model with equation y = 5.00 -0.01x.(a)What is the expected change in reaction time for a 1°C increase in temperature? For a 10°C increase in(b)(c)temperature?What is the expected reaction time when temperature is 98°C? When temperature is 120°C?Suppose o = 0.08. Consider the temperature 98°C. What is the probability that the reaction time willexceed 4 hours?(d)What is the probability that two independently observed reaction times for temperatures 1° apart are suchthat the time at the higher temperature exceeds the time at the lower temperature?

Given that: The simple linear regression equation is, y=5-0.01x where y is the reaction time (in…

Answered: Question 4: Suppose that in a certain…

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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Consider a dataset with 25 observations and a multiple linear regression model with 4 independent variables. Assume you have estimated the parameters in the model and you find that SSE = 2,389.75 and the SSR = 12,125.25 Find the range that best represents the value of adjusted r-squared, R². (a) R² < 0.80 (b) (c) (d) (e) 0.80 ≤ R² < 0.85 0.85 ≤ R² < 0.90 0.90 ≤ R² < 0.95 0.95 ≤ R²
What can you tell me about the following linear regression equation? Y’ = 3.25x + 19.3
Determine whether -log (1- 9(1-) is a good cost function for logistic regression 1+e07 when y = 0. Explain.
(d) If the life expectancy is increased by 3.5 years in a certain country, how much will the happiness index change? Round to two decimal places. (e) Use the regression line to predict the happiness index of a country with a life expectancy of 84 years. Round to two decimal places.
Question 6 question 7
Log(Wagei) = α + β1Educationi + β2Femalei + β3Non Whitei + β4Educationi × Femalei + εi For males, and holding other variables constant, the regression output from the linear regression model above implies that an extra year of education is associated with what percent change in wages?
The following table gives the regression results of consumption behaviour between female and male. Consumption (C), in RM Model 1 Model 2 Constant 0.7515 0.6587 (0.024) (0.037) Y 0.8603 0.5442 (0.0301) (0.2881) Gen 0.2001 (0.0004) Y*Gen 0.3105 (0.0076) Adjusted R 0.78 0.78 No. of Observations 47 47 Note: Y=income (RM) Gen= Gender ( It is equal to 1 if person is female; 0 is for male) Figures in the parentheses are p- values a) Identify which are the qualitative, quantitative and interaction variable. Refer to Model 1: b) Write the regression equations for female and male. Draw the regression lines for female and male on the same diagram. What can you c) say? d) Interpret all the estimated slope coefficients. e) Conduct an appropriate test to determine whether variable gender is statistically significant at 5%. Should this variable be dropped from this regression model.
A study investigating the relationship between a country's annual gross domestic product x (in trillions of dollars) and carbon dioxide emissions y(in millions of metric tons) yielded r = 0.87, se = 141.9 , and the regression equation y-hat = 199.5x + 56.0. For each additional trillion dollars in %3D gross domestic product, carbon dioxide emissions increases by about 0.87 million metric tons, on average increases by about 199.5 million metric tons, on average changes by an amount that cannot be determined from the information given O increases by about 141.9 million metric tons, on average increases by about 56.0 million metric tons, on average
Question 38. You have performed a linear regression analysis to explore sunflowers' growth (in meters per month) depending on the watering (in litres per day). You have estimated the regression coefficient to be ß = 1.6. What can you conclude? a) There is a signifleant correlation between watering and growth. b) An average sunflower growths 1.6 meters per month. c) If you give it an additional litre of water per day, there will be an additional average growth of 1.6 meters per month. d) According to the model assumptions, an additional litre of water per day will result in additional 19.2 meters of growth after one year. e) You should consider further influencing quantities.
The estimated regression equation for a model involving two independent variables and 10 observations follows. ý = 22.1370 + 0.5303Xq + 0.4920X2 (a) Interpret b₁ in this estimated regression equation. O b₁ = 0.5303 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. O b₁ = 0.5303 is an estimate of the change in y corresponding to a 1 unit change in x₁ when X₂ is held constant. O b₁ = 22.1370 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. O b₁ = 0.4920 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. O b₂ = 0.4920 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. Interpret b₂ in this estimated regression equation. O b₂ = 0.4920 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. O b₂ = 22.1370 is an estimate of the change in y corresponding to a…
25. Given the exponential regression model y = 15 * 1.9^x, which is the linear regression model after transforming to a semi-log graph? Y = 0.07X + 1.18 Y = 0.28X + 0.07 Y = 1.18X + 0.28 Y = 0.28X + 1.18
3

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