1. Using data below0Solid content [%]Chemical oxygen demand [%] 0345 11 13 1921a) Find 95% confidence intervals of both parameters.b) Perform a hypothesis test that the slope, by 1, as against the alternative that b₁ > 1at 95% confidence level.

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Answered: Using data below 2 3 4 13 19 Solid…

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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If Linear correlation coefficient r = 0.794556 Coefficient of determination = 0.631319 Equation of regression line is y = 16.5523 + %3D 0.725938x then both variables are moving in the same direction. A True В False
the light and build a 95% confidence interval on the proportion of English soccer fans believing that Liverpool will win the 2019-2020 title. If needed, give the exact Excel formula allowing to compute the confidence interval. Question 5 You have a sample of 223 observations about the daily returns of a company called VA and of an index fund called IND. The table below provides some partial results about a simple linear regression in which VA is the dependent variable and IND is the independent variable. The fitted regression model is: VA = bo + bị* IND. Explain and justify clearly your answer to each question. Give the numerical value when possible. Coefficient Standard Error Upper 95% Test Estimate Statistic Lower 95% Intercept 0.0000584 Q1 0.052 -0.0021549 Q3 Slope 92 0.0555300 30.581 오4 1) What is the value that should appear in the cell with the label Q1? 2) What is the value that should appear in the cell with the label Q2? 3) What is the value that should appear in the cell with…
A researcher has obtained the following scatter plot depicting the relationship between Y and X. On the graph, you can see three possible regression lines, which have a common y-intercept of bo = 35.48. Lines A, B and C cross the y-axis at coordinates (52, 106.78), (52, 66.52) and (52, 36.67), respectively. Given the confidence interval is (0.333, 1.122), choose the correct answer(s). rise Hint: Calculate slope of each line using known formula slope = run 35.48 0 Line A Line B Line C O O O 60 X 8 00 52 106.78 66.52 36.67 Select one or more: ✔a. The slope of Line A is within the confidence interval. ✓b. The slope of Line B is within the confidence interval. ✓ C. The slope of Line C is within the confidence interval.
Suppose that a researcher, using data on 150 randomly selected bicycles, estimates the OLS regression: Price=672.65-2.12x Weight, (185.8) (0.42) where Price measures the price of the th bike in dollars and Weight measures the weight of the th bike in kilograms. The 99% confidence interval for the intercept, ßo, will be (, ). (Round your answers to two decimal places.)
a) Find a correlation coefficient r, round it to 4 decimal places. Do not round partial results. b) Interpret previous result clearly in terms of direction and strength of association. c) Find the equation of regression line. Equation of regression line: …………………………………………
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12. Use a = 0.10. Is the coefficient of the independent variable significantly different from zero? No a. b. Yes с. Cannot conclude 13. In multiple regression analysis, high correlation among the independent variables is termed linearity b. a. multicollinearity homoscedasticity endogeneity с. d.
Amount of brake fluid can affect the breaking time of a vehicle. Engineer Nsiah conducts an experiment to determine if this statement is true. The breaking time data for the trials for different levels of brake fluid as presented in table below. i) Obtain the linear regression model for the given data ii) Compute the correlation coefficient, r iii) Find the Breaking time given the amount of oil is 45cm2 Amount of 20 10 30 40 60 50 oil(cm3) Braking time(s) 9. (iv) The coefficient of determination, r for the given data 3.
You may need to use the appropriate technology to answer this question. Consider the data. xi 2 6 9 13 20 yi 6 16 8 27 21 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use α = 0.05. State the null and alternative hypotheses. H0: β1 ≠ 0Ha: β1 = 0H0: β1 = 0Ha: β1 ≠ 0 H0: β0 = 0Ha: β0 ≠ 0H0: β0 ≠ 0Ha: β0 = 0H0: β1 ≥ 0Ha: β1 < 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. We conclude that the relationship between x and y is significant.Do not reject H0. We cannot conclude that the relationship between x and y is significant. Reject H0. We conclude that the relationship between x and y is significant.Reject H0. We cannot conclude that the relationship between x and y is significant.…
Public health researchers would like to evaluate whether information on age (in years) and weight (in kg) could be used to predict shoe size of students. The output of the linear regression analysis is given below. 95% confidence interval Unstandardized Beta t Lower bound Upper bound (Constant) 6.493 1.121 -5.191 18.177 Age (years) -0.462 -1.617 -1.037 0.114 Weight (kg) 0.155 7.568 0.114 0.197 Dependent variable: shoe size A) Write null hypotheses for the linear regression analysis. B) Interpret the results of the linear regression in not more than 100 words. C) Write a complete equation for the results of the linear regression analysis
i)Test individually whether the slope coefficients are significant at 10% significance level. ii)Test the overall significance of the estimated regression at 1% significance level.
1:49 AA O www-awn.aleks.com : d on the same scale from a population, O REGRESSION AND CORRELATION Linear relationship and the.. y u V 1.0 3.0 1.0 7.2 11 10 10 9- 84 2.0 | 4.4 2.0 9.0 3.0 | 3.0 3.0 | 7.0 4.0 4.9 4.0 5.6 6- 5.0 4.3 5.0 8.1 4. 4- 6.0 | 7.0 6.0 4.8 2. 7.0 | 6.1 7.0 4.3 8.0 7.8 8.0 | 7.1 9.0 | 7.0 Figure 1 9.0 6.0 Figure 2 10.0 8.3 10.0 4.3 t mn w 1.0 10.0 1 10- x 9- 1.0 3.8 11 2.0 | 5.8 10- 94 2.0 9.0 3.0 | 8.1 3.0 | 8.0 7 4.0 7.0 4.0 | 9.2 6- 5. 5.0 10.3 4. 5.0 6.0 4- 3 3 6.0 9.7 6.0 5.0 2. 7.0 | 9.8 7.0 | 4.0 8.0 | 7.9 8.0 3.0 9.0 2.0 Figure 4 |10.0 1.0 9.0 | 6.6 Figure 3 10.0 3.7 Answer the following questions. The same response answer for more than one question. 1. Which data set has an apparent negative, but not perfect, linear relationship between its two variables? Choose one 2. In which data set is there evidence of a strong nonlinear relationship between the two variables? Choose one 3. Which data set indicates the strongest negative linear Choose one relationship…

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Using data below 2 3 4 13 19 Solid content [%] 01 Chemical oxygen demand [%) 0 5 11 a) Find 95% confidence intervals of both parameters. b) Perform a hypothesis test that the slope, by 1, as against the alternative that b₁ > 1 at 95% confidence level.