Consider the following regression estimated using 84 observations:Yt-01+02X21+P3X31+ B4X41+utSuppose that a researcher wishes to test the null hypothesis: 021 and 03+A41. The TABULATED value of the F-distribution that we would comparethe result of testing this hypothesis with at the 5% level would be approximatelyOa19.48Ob2.760.02.49O d.3.11

Consider the multiple regression equation yt=β1+β2X2t+β3X3t+β4X4t+ut where β1, β2, β3, and β4 are…

Answered: Consider the following regression…

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. The least squares estimate of βb0, βb1, and the estimated regression line is b. For this model, r 2 = 0.959. This means, that 95.9 percent of variation in the number of large pizzas consumed, is explained by linear regression on the number of students watching the game. (true or false) c. The 95% confidence interval for number of pizzas when x ∗ = 5, is (5.71, 8.49). This means one can state with 95 percent confidence that i. When 5 students watch games on several occasions, the average number of large pizzas consumed is between 5.71 and 8.49. ii. When 5 students watch a game, the number of large pizzas consumed is between 5.71 and 8.49. The 95% prediction interval for number of pizzas when x ∗ = 5, is (4.21, 9.99). This means one can state with 95 percent confidence that i. When 5 students watch games on several occasions, the average number of large pizzas consumed is between 4.21 and 9.99. ii. When 5 students watch a game, the number of large pizzas consumed is between 4.21 and…
Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately σ2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 41 women in rural Quebec gave a sample variance s2 = 3.0. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find a 90% confidence interval for the population variance. Find the requested confidence interval for the population variance. (Round your answers to two decimal places.) lower and upper limit
Two different foods were tested for the difference in weight gains. A random sample of 6 mice was given food A and the other sample of 8 mice was given food B. The weights gains were recorded as follows. FoodA 17 14 15 18 12 13 FoodB 15 16 13 16 18 19 17 17 Use Mann-Whitney test for the above data at 5% level of significance
Let x represent the number of mountain climbers killed each year. The long-term variance of x is approximately σ2 = 136.2. Suppose that for the past 11 years, the variance has been s2 = 111.3. Use a 1% level of significance to test the claim that the recent variance for number of mountain-climber deaths is less than 136.2. Find a 90% confidence interval for the population variance. (a) What is the level of significance? (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? (c)Find the requested confidence interval for the population variance. (Round your answers to two decimal places.) lower limit upper limit
Suppose you are conducting an experiment, and you have 8 different treatments you are testing on lab mice. Assume that the outcome is a continuous random variable, and your main research question is whether or not the distribution of the outcome differs across treatment groups. You notice that the within group standard deviations differ greatly from one group to the next. Which of the following analytical approaches would be advisable to take in this situation? Question 23 options: Conduct a simple linear regression between the outcome and the treatment group assignment. Conduct an ANOVA followed by post-hoc Bonferroni adjustment. Conduct a Kruskal-Wallis test Calculate within-group Spearman correlations.
Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately σ2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 51 women in rural Quebec gave a sample variance s2 = 3.2. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find a 90% confidence interval for the population variance. (a) What is the level of significance? State the null and alternate hypotheses. Ho: σ2 = 5.1; H1: σ2 > 5.1Ho: σ2 < 5.1; H1: σ2 = 5.1 Ho: σ2 = 5.1; H1: σ2 < 5.1Ho: σ2 = 5.1; H1: σ2 ≠ 5.1 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution? We assume a uniform population distribution.We assume a normal population distribution. We assume a binomial population distribution.We assume a exponential…
Below is the complete question Fail to reject / reject H0. There is not / is enough evidence at the 1% level of significance to support / reject the claim.
In a regression model involving 10 observations and 2 independent variables, SSR = 66 and SST = 80. The computed F-statistic for testing the significance of the above model is _____. In your answer, show one (1) digit to the right of the decimal point, for example, 1.0, 1.2. Apply the appropriate rounding rule if necessary.
Solvent cement is used to join PVC joints. Researchers are interested in predicting the amount of time is needed for the joint to set (measured in hours) as it is related to temperature measured in degrees F for 4 to 8-inch diameter pieces. A random sample of PVC joints was taken and a linear regression model was found. Use the following output and the fact that R2 = 0.965 to answer the following questions. 7. Find and interpret a 95% confidence interval for the true slope. 8. The researchers find the predicted value for a temperature of 200 F is -3.507 hours. What is the most likely reason for this nonsensical answer?
Suppose that you run a Regression Model and the Regression Coefficient for X has an associated p-value of 0.0070. At the 99% Confidence Level, is X significant? Enter a 1 into the blank below if X is significant and a O if it is not.
Consider the following regression results: ŷ = 4.5 -2.8x1 + 1.2x2 + 1.1x3, (1.8) (-7) (1.2) (1.5) n = 19, R² = .55. The minimum significance level that we can reject the null hypothesis that B₁ = -2 (two-tailed test) is at the 1% significance level. 5% significance level. 10% significance level. None of the above.
Exercise 3.2 85 of an independent random sample of 180 large retailers and 45 of an independent random sample of 175 small retailers used the regression analysis method as the estimation method. Obtain the 95% confidence interval for the difference between the two population ratios. Thank you so much.

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