please compute the test statistic Use the following information from a multiple regression analysisb, = 3n= 20b, =2Sp, = 1.1So, = 0.9a. Which variable has the largest slope, in units of at statistic?b. Construct a 95% confidence interval estimate of the population slope, B.c. At the 0.05 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...a. Which variable has the largest slope, in units of at statistic?The variable X, has the largest slope, with tsTAT = 3.33(Roundtwo decimal places as needed.)b. Construct a 95% confidence interval estimate of the population slope, B,.- 0.321 sB, s 4.321(Round to three decimal places as needed.)c. Begin by determining whether X, makes a significant contribution to the regression model. Determine the null and alternative hypotheses. Choose the correct answer below.OA. Ho: B,#0H,: B, =0O B. Ho: B, =0H,: B, <0C. Họ: B, =0H: B, #0O D. Ho: B1 =0H;: B, >0Compute the test statistic.STAT =D(Round to two decimal places as needed.)

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Answered: Use the following information from a…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 30PT: For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or...

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Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracy
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.)
Use the following information from a multiple regression analysis to complete parts (a) through (c) below. n=25 b1=5 b2=15 Sb1=2 Sb2=4 b. Construct a 95% confidence interval estimate of the population slope, β1. __________≤β1≤_____________ (Round to four decimal places as needed.)
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.
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).
For each of the following scenarios, select the test (from the choices below), that is most appropriate for analyzing the data. a) Z-test b) One-sample t-test c) Independent t-test d) Dependent t-test e) 1-Way ANOVA f) Regression/Correlation g) Chi-Square 1. Do married people who have had a greater number of sexual partners in the past report a greater desire to cheat on their spouse (desire to cheat measured on a 10-point scale)? 2. Among people who own pets, are women more likely than men to own cats rather than dogs? 3. Are people more likely to endorse positive rather than negative traits when describing themselves? Participants in a study are asked to rate (on a 7-point scale) the extent to which they possess various traits. Half of the traits they rate themselves on are positive traits and the other half are negative traits.
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)
In simple linear regression, at what value of the independent variable, X, will the 95% confidence interval for the average value of Y be narrowest? At what value will the 95% prediction interval for the value of Y for a single n ew observation be narrowest?
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. Use Table 1 of Appendix B.Click on the datafile logo to reference the data. 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 $128. Develop a 95% prediction interval for the amount spent on entertainment in Chicago (to 2 decimals).$ to $
When computing a confidence interval for the slope of a regression line, a plot of the residuals versus the fitted values can be used to check which of the following conditions? The variables x and y are inversely related. The variables x and y are inversely related. A The standard deviation of y does not vary as x varies. The standard deviation of y does not vary as x varies. B The correlation is not equal to zero. The correlation is not equal to zero. C The observations are independent. The observations are independent. D The confidence interval contains zero.
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.

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