4. Consider the following set of ordered pairs.53 2 2858 5 6 2 75a. Using a 0.10, test for the significance of the regression slopeb. Construct a 90% confidence interval for the population slope.a. Using a 0.10, test for the significance of the regression slopeIdentify the null and alternative hypotheses.Mo By (1)H:A, (2).Find the best statistic(Round to two decimal places as needed)toFind the p-valuep-value(Round to three decimal places as needed.)State the conclusion(3)the null hypothesis. There is (4).b. Construct a 90% confidence interval for the population slopeUCL -LCL =>(Round to two decimal places as needed.)(1) O.O.O, Os(2) 20-O>000(3)evidence to conclude that the regression slope (5).O RejectO Do not reject(4) sufficientO insufficient(5) O is greater thanO is less thanis notis

Answered: 4 Consider the following set of ordered…

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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Based on the sample data set: (0,0) ( 2,3) (3,3) (6,4) (9,8) A. Construct the 90% confidence interval for the slope B1 of the population regression line B. find the Coefficient of determination using the formula r2=B1SSxy / SSyy.
The following table gives the data for the average temperature and the snow accumulation in several small towns for a single month. Determine the equation of the regression line, >= bo + b₁x. Round the slope and y-intercept to the nearest thousandth. Then determine if the regression equation is appropriate for making predictions at the 0.05 level of significance. Critical Values of the Pearson Correlation Coefficient Average Temperatures and Snow Accumulations 42 33 15 44 35 15 34 8 18 25 9 14 28 26 11 25 Average Temperature (°F) Snow Accumulation (in.) 35 43 20 10
I need help with the following questions Calculate the standard errors for a and b (sa and sb). Discuss the interpretation of each of them. Compute the confidence interval (alpha = 0.05) and the t-statistic for b. Again, explain the meaning of each of them in a sentence. Calculate the R2 for the regression and describe its meaning. Graph the data points and the sample regression function. Identify the slope and the intercept term. Label the data points and graphically indicate the residual for each observation. Add a vertical dashed line for the mean of X and the horizontal dashed line for the mean of Y. Does the regression function pass through the intersection of these two lines? This information should be used for you to solve The calculations below should be done by applying the bivariate regression formulas. In other words, do them “by hand” using a calculator or in Excel in a manner that I can clearly see the formulas you have used. You should also check your calculations by…
A local real estate agent argues that house prices in Pittsburgh are related tothe number of rooms in a house. You collect a random sample of 190 houses and run asimple regression using House Price (measured in dollars) as the dependent variableand Rooms (measured as the number of rooms in a house) as the independentvariable. Given below is the Excel output of the regression results. (a) Construct the 99.7% confidence interval for the slope of the regressionline.(b) Consider a house with 5 room. What is the probability that the housewill sell for more than $270,245?(c) A savvy real estate investor, Noah, owns a house in Pittsburgh thathe is planning to sell. Based on the regression put, Noah decides to destroy somewalls to reduce the number of rooms in the house, hoping to increase the houseselling price. Based on the regression output, do you think this is a good decision?Justify your comment.
Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with an altitude of 6327 ft (or 6.327 thousand feet). Altitude Temperature3 598 3413 2219 -429 -2931 -4134 -58 a. Find the explained variation. (Round to two decimal places as needed.) b. Find the unexplained variation. (Round to five decimal places as needed.) c. Find the indicated prediction interval. __<y<__ (Round to four decimal places as needed.)
How do I find the p-value to each corresponding test statistic to complete the ANOVA table? I also need help with parts b-d.
A manufacturing company that produces laminate for countertops is interested in studying the relationship between the number of hours of training that an employee receives and the number of defects per countertop produced. Ten employees are randomly selected. The number of hours of training each employee has received is recorded and the number of defects on the most recent countertop produced is determined. The results are as follows. Hours of Training 1 4 7 3 2 2 5 5 1 6 Defects per Countertop 5 1 0 3 5 4 1 2 8 2
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2/10 Question 2 of 8, Step 1 of 1 Correct The following data were collected from a sample of students on the numbers of times they were tardy for their Earth science class and their final exam grades in the course. Construct a 95 % confidence interval for the slope of the regression line. Round your answers to two decimal places, if necessary. Number of Tardies and Final Exam Grades Number of Tardies, x Final Exam Grade, y 9 59 7 72 6 72 3 89 3 85 1 95 91 Copy Data E Tables в Кеурad Answer Keyboard Shortcuts Lower endpoint: Upper endpoint:
Data on 12 randomly selected athletes was obtained concerning their cardiovascular fitness (measured by time to exhaustion running on a treadmill) and performance in a 20-km ski race. Both variables were measured in minutes and a regression analysis was performed. ski 85 2.5. treadmill = Coefficients Estimate (Intercept) Treadmill 85 - 2.5 Std. Error What is the test statistic? -2.5 0.45 1 Is there sufficient evidence to conclude that there is a linear relationship between cardiovascular fitness and ski race performance? Round your answers to three decimal places. Using your answer from the previous question, find the p-value. Part 2 o
17. Additional information was obtained from EXCEL. Conduct a test of hypothesis to determine if any of the regression coefficients do not equal 0 Use the 005 significance level. The regression equation is: Salary = 19.2 + 3.10 Years + 0.269 Perform - 0.704 Absent Intercept Years Perform Absent Coefficients Standard Error 19.186 3.096 0.269 -0.704 12.146 0.706 0.120 0.586 -1.202 t Stat 1.580 4.385 P-value 0.143 0.001 0.046 0.255 2.252 а. Но: H: Họ: H1: Họ: H1: b. The decision rules are to reject Ho if What is your decision? Interpret. c. 305 Multiple Regression and Correlation Analysis Chapter 14

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