A-1. For the following statements,If the relationship in a regression model is significant at 99% confidence interval,then this relationship must also be significant at 95% confidence interval.Whenever your decision is to reject the null hypothesis, there is a risk of a Type Ierror.The sampling distribution of the sample mean is approximately normal whenever thesample size is sufficiently large (n > 30)How many of them are true?А. ОВ. 1С. 2D. 3

The following statements has been given. We need to check whether these statements are true or not.…

Answered: A-1. For the following statements, If…

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. Sales, in million pesos, of a certain company are shown here. 4 5 Sales (Y) P12 P15 P17 P18 P16 P19 P21 P20 P22 P24 Year (X) 2 3 6 7 8 9 10 Determine the regression equation. Solve for the sum of squares for error, standard error, coefficient of determination. Find the 90% confidence interval for all year for the 12th year. Determine a 95% prediction interval for the 12th year. Step 1: Complete the table. |X Y X? Y? XY 1 12 2 15 3 17 4 18 5 17 6 19 7 22 8 20 9 23 10 | 26 Step 2: Solve for thee following: Ex = ΣΥ X =. Y = Σχ E Y² = , ΣΧΥ Slope (b,): Intercept (bo): Simple Linear Regression Equation(Ỹ = b,X + bo): Standard Error of Estimate(sp): Coefficient of Determination(r²): Confidence Interval: Prediction Interval:
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A weight-loss program wants to test how well their program is working. The company selects a simple random sample of 51 individual that have been using their program for 15 months. For each individual person, the company records the individual's weight when they started the program 15 months ago as an x-value. The subject's current weight is recorded as a y-value. Therefore, a data point such as (205, 190) would be for a specific person and it would indicate that the individual started the program weighing 205 pounds and currently weighs 190 pounds. In other words, they lost 15 pounds. When the company performed a regression analysis, they found a correlation coefficient of r = 0.707. This clearly shows there is strong correlation, which got the company excited. However, when they showed their data to a statistics professor, the professor pointed out that correlation was not the right tool to show that their program was effective. Correlation will NOT show whether or not there is…
Suppose we have two normal populations denoted A and B, and we want to compare their population variances by estimating the ratio: variance of population B divided by variance of population A. We have an independent random sample of size 15 from population A and an independent random sample of size 9 from population B. The sample variance for population B turns out to be 30 percent larger than that for population A. What is the 99 percent confidence interval for the ratio: population variance of population B divided by population variance of population A? Use stattrek.org for finding the needed critical values.
3
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
. Interpret your result from part (a) if the assumptions for regression inferences hold. Choose the correct interpretation below. A. Presuming that the variables age and price for Corvettes satisfy the assumptions for regression inferences, the standard error of the estimate provides an estimate for the common population standard deviation, σ, of ages for all Corvettes of any particular price. B. Presuming that the variables age and price for Corvettes satisfy the assumptions for regression inferences, the standard error of the estimate provides an estimate for the slope, β1, of the population regression equation for ages for all Corvettes of any particular price. C. Presuming that the variables age and price for Corvettes satisfy the assumptions for regression inferences, the standard error of the estimate provides an estimate for the common population standard deviation, σ, of prices for all Corvettes of any particular age. D. Presuming that…
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 104, and the sample standard deviation, s, is found to be 8. (a) Construct a 95% confidence interval about u if the sample size, n, is 22. (b) Construct a 95% confidence interval about u if the sample size, n, is 16. (c) Construct a 90% confidence interval about u if the sample size, n, is 22. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? (a) Construct a 95% confidence interval about u if the sample size, n, is 22. Lower bound: 100.5; Upper bound: 107.5 (Round to one decimal place as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 16. Lower bound: Upper bound: (Round to one decimal place as needed.)
The interval [40 50] represents a 90% confidence interval for a population mean. Which of the following is most likely to be the corresponding 95% confidence interval? (Hint: in a normal distribution, close to 90% of the values are within 1.65 standard deviations of the mean and close to 95% of the values are within 2 standard deviations of the mean) O A. [42 48] В. [36 54] OC. [40 54] D. [30 60]
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