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MATLAB: An Introduction with Applications

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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4. Construct the 95% confidence interval for ₁-2, the average score difference between
group A and B. Please show your derivation steps, no calculations is needed.
(1). Derive the distribution of Y₁.-Y2. and construct the 95% confidence interval for
₁-₂ when the variance o2 is known.
(2). (Graduate Only) When the variance o² is unknown, derive and construct the 95%
confidence interval for ₁-2-
5. Find the 95% Bonferroni's Simultaneous Confidence Intervals (SCI) for all pairwise mean
difference {i-, i,i = 1,2,3}. Which differences are significant?
6. Find the 95% Tukey's Simultaneous Confidence Intervals for all pairwise mean differences.
Which differences are significant?

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4. A study was conducted to investigate the relationship between the size of a house (in square feet) and the selling price of a house (in dollars). The response variable is price in dollars, and we want to study if the covariate of the square footage helps explain the response. A random sample of 522 houses was used, and the linear regression output from R is below. price sqft, data = house) 1m (formula = Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -81432.946 11551.846 -7.049 5.74e-12 *** sqft 158.950 4.875 32.605 <2e-16 *** Residual standard error: 79120 on 520 degrees of freedom Multiple R-squared: 0.6715, Adjusted R-squared: 0.6709 a. Write out the estimated linear equation. What is the estimated expected selling price of a house that is 2000 square feet? b. Does the intercept have a useful interpretation in this study? Why or why not. c. Interpret the slope estimate in context of the model.
Heights for teenage boys and girls were calculated. The mean height for the sample of 50 boys was 167 cm and the variance was 57. For the sample of 56 girls, the mean was 153 cm and the variance was 67. There is no reason to assume the variances would be equal. Estimate how much taller teenage boys are using a 99% confidence level. Express this in the (point estimate) ± (margin of error) format. Round answers to 2 decimal places. H
Write complete and legibly.
Several bakeries in a town were asked the price for different amounts of donuts at their shop. The scatter plot with Total Cost (in dollars) 876543 ~ TO 0 0 1 Donut Pricing 2 3 4 5 Number of Donuts 6 7 8 line of best fit was created from the data gathered. Part A: Estimate the correlation coefficient. Explain your reasoning for the given value. Part B: How many positive and negative residuals are there? Explain your reasoning. Part C: State the point with the largest absolute value residual and interpret the point in terms of the context of the data.
Heights for teenage boys and girls were calculated. The mean height for the sample of 51 boys was 183 cm and the variance was 66. For the sample of 71 girls, the mean was 173 cm and the variance was 61. There is no reason to assume the variances would be equal. Estimate how much taller teenage boys are using a 87% confidence level. Express this in the (point estimate) ± (margin of error) format. Round answers to 2 decimal places. H
18. Two random variables have the regression equations : 3 X+2Y - 26 = 0 6X+ Y- 31 = 0 Find the mean value and the coefficient of correlation between X and Y. If the variable of X 25, find the standard deviation of Y from the data given above. tem (be scue)
Q6-5. Consider data that fits to the gamma distribution with an alpha of 7 and beta of 2, what is the percentage of data that has a value more than 22?
Say you have two sets of data X1, ..., X10 and Y1,..., Y40. All of this data is considered independent. The first set of data are Normally distributed with mean B and variance 10. The second set of data are Normally distributed with mean y and variance 10. We are trying to estimate 0 = X = X; 18 + y. Consider the estimate ô = }X + Ÿ where 3 4 iX + Y where 10 vi=1 1 10 and Y = E Y;? 40 vi=1 40 (a) What is the mean, variance and distribution of 0? (b) What is the probability that 0 is larger than 1 away from 0? (c) What is the bias, variance and MSE of the estimate 0 for estimating 0?
In a trivariate distribution the simple coefficient of correlation are as follows if r12 = 0.76, rı3= 0.75 and r²3= 0.71 calculate the coefficient of partial correlation r 12.3
Match the definition in column X with the correct term in column Y.
stion 16: nts) A random sample of 200 psychology students was selected from a department's participant pool. A researchers determined each student's score on the NPI-16 and the number of his or her Facebook friends. The marginal distribution of NPI-16 scores was 4, with a standard deviation of 2. The marginal distribution "Facebook Friends" was 450, with a standard deviation of 200. The correlation between the two variables was .15. Assuming that NPI-16 is the predictor variable and Number of Facebook Friends is the outcome variable, compute the following: The lower limit of the 95% confidence interval around b. Note: Enter your answer to the second decimal place.
Bhuro.0p0

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