The following data were collected from a sample of students on the numbers of times they were tardy for their enviromental science class and their final exam gradesin 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 GradesNumber of Tardies, xFinal Exam Grade, y95785977166647819194Copy Data囲 TablesI KeypadAnswerKeyboard ShortcutsLower endpoint:Upper endpoint:

Confidence interval for slope is given by, b1 ± tα/2,n-2*Sb1 where , b1 is estimate of slope Sb1 is…

Answered: The following data were collected from…

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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Use the following information from a multiple regression analysis to complete below n=35 b1=25 b2=25 Sb1=10 Sb2=8 Construct a 95% confidence interval estimate of the population slope, β1.______≤β1≤________ (Round to four decimal places as needed.)
Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). Copy and paste the numbers in an Excel worksheet and then use Excel's Regression tool to conduct a simple linear regression analysis. Choose 95% confidence level. Answer the following questions: x y 2 12 3 9 6 8 7 7 8 6 7 5 9 2 t statistics is statistically significant at 5% level. Answer Yes or No. Yes No What is the lower bound of the 95% confidence interval for the independent variable x (Keep 2 decimal places) What is the upper bound of the 95% confidence interval for the independent variable x (Keep 2 decimal places)
Use the following information from a multiple regression analysis. n=15 b1=2 b2=6 Sb1=1.4 Sb2=0.5 a. Which variable has the largest slope, in units of a t statistic? b. Construct a 90% confidence interval estimate of the population slope, β1. c. At the 0.10 level of significance, determine whether each independent variable makes a significant contribution to the regression model. On the basis of these results, indicate the independent variables to include in this model.
According to the following confidence intervals based on a regression analysis, which coefficients differ from zero in a two-tailed test at α = .05? 2.5 % 97.5 % (Intercept) -36.198470 228.22667 LotSize 9.244509 20.86968 Baths 43.981264 113.47117 Intercept, LotSize, Baths LotSize, Baths LotSize Baths
In Exercises, presume that the assumptions for regression inferences are met.Crown-Rump Length. Following are the data on age of fetuses and length of crown-rump from Exercise. x 10 10 13 13 18 19 19 23 25 28 y 66 66 108 106 161 166 177 228 235 280 a. Determine a point estimate for the mean crown-rump length of all 19-week-old fetuses.b. Find a 90% confidence interval for the mean crown-rump length of all 19-week-old fetuses.c. Find the predicted crown-rump length of a 19-week-old fetus.d. Determine a 90% prediction interval for the crown-rump length of a 19-week-old fetus.ExerciseApplying the Concepts and SkillsIn Exercises, we repeat the information from Exercises. For each exercise here, discuss what satisfying Assumptions 1–3 for regression inferences by the variables under consideration would mean.
In order to determine a realistic price for a new product that a company wants to market the company’s research department selected 10 sites thought to have essentially identical sales potential and offered the product in each at a different price. The resulting sales are recorded in the accompanying table: Price ($) Sales ($1,000s) 15.00 15 15.50 14 16.00 16 16.50 9 17.00 12 17.50 10 18.00 8 18.50 9 19.00 6 19.50 5 c). Find the equation of the sample regression line using Minitab. d). Interpret the meaning of the coefficients of the equation of the sample regression line.
In exercise 12, the following data on x = average daily hotel room rate and y = amount spent on entertainment (The Wall Street Journal, August 18, 2011) lead to the estimated regression equation ŷ = 17.49 + 1.0334x. For these data SSE = 1541.4.Click on the datafile logo to reference the data. Use Table 1 of Appendix B. a. Predict the amount spent on entertainment for a particular city that has a daily room rate of $89 (to 2 decimals).$ b. Develop a 95% confidence interval for the mean amount spent on entertainment for all cities that have a daily room rate of $89 (to 2 decimals).$ to $ c. The average room rate in Chicago is $128. Develop a 95% prediction interval for the amount spent on entertainment in Chicago (to 2 decimals).
A sample of n = 120 scores were presented using the Tenacity (authority) scores to the following predictors: age gender, SES, tone of voice, and clothing. Using a two-tailed test at the 0.05 level of significance, a multiple regression analysis was computed: 1. tenacity and age (pvalue = 0.043); 2. tenacity and gender (pvalue = 0.102); 3. tenacity and SES (pvalue = 0.40); Using the pvalue, provide your DECISION, whether: Accept Ho or Reject Ho, Accept Ha
A sample of n = 120 scores were presented using the Tenacity (authority) scores to the following predictors: age gender, SES, tone of voice, and clothing. Using a two-tailed test at the 0.05 level of significance, a multiple regression analysis was computed: 1. tenacity and voice (pvalue = 0.001); 2. tenacity and clothing (pvalue = 0.017); Using the pvalue, provide your DECISION, whether: Accept Ho or Reject Ho, Accept Ha
Sarah is the office manager for a group of financial advisors who provide financial services forindividual clients. She would like to investigate whether a relationship exists between the numberof presentations made to prospective clients in a month and the number of new clients per month.The following table shows the number of presentations and corresponding new clients for aa random sample of six employees.Employee Presentations New Clients1 7 22 9 33 9 44 10 35 11 56 12 3Sarah would like to use simple regression analysis to estimate the number of new clients permonth based on the number of presentations made by the employee per month. The test statisticfor testing the hypothesis that the population coefficient of determination is greater than zero is________. A) 1.03 B) 1.45 C) -1.16 D) 0.35
Using the regression results in column (3):a. Do there appear to be important regional differences? Use an appropriate hypothesis test to explain your answer.b. Juanita is a 28-year-old female college graduate from the South. Mollyis a 28-year-old female college graduate from the West. Jennifer is a28-year-old female college graduate from the Midwest.i. Construct a 95% confidence interval for the difference in expectedearnings between Juanita and Molly.ii. Explain how you would construct a 95% confidence interval forthe difference in expected earnings between Juanita and Jennifer.(Hint: What would happen if you included West and excludedMidwest from the regression?)
A researcher developed a regression model to predict the cost of a meal based on the summated rating (sum of ratings for food, decor,and service) and the cost per meal for 12 restaurants. The results of the study show that b1=1.4379 and Sb1=0.1397. a. At the 0.05 level of significance, is there evidence of a linear relationship between the summated rating of a restaurant and the cost of a meal? b. Construct a 95% confidence interval estimate of the population slope, β1. a. Determine the hypotheses for the test. Choose the correct answer below. A. H0: β1=0 H1: β1≠0 B. H0: β0≤0 H1: β0>0 C. H0: β1≤0 H1: β1>0 D. H0: β0≥0 H1: β0<0 E. H0: β1≥0 H1: β1<0 F. H0: β0=0 H1: β0≠0 Compute the test statistic. The test statistic is ? (Round to two decimal places as needed.) Determine the critical value(s). The critical value(s) is(are) ? (Use a comma to separate answers as needed.…

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