For the data and sample regression equation shown below, do the following.a. Decide, at the 10% significance level, whether the data provide sufficient evidence toconclude that x is useful for predicting y.b. Find a 90% confidence interval for the slope of the population regression line.4 3 1013 -32y=-1.5 +1.1x, x₁ = 10, Σx₁²=30, b₁ = 1.1, and se = 3.3690Xy24a. What are the hypotheses for the test?O A. Ho: B₁ = 0 and H₂: B₁ #0OB. Ho: B₁0 and H₂: B₁ >0O C.Ho: B₁ #0 and H₂: B₁ = 0O D. Ho: P₁ = 0 and H₂: B₁ <0What is the test statistic?(Round to two decimal places as needed.)Find the P-value.P-value= (Round to three decimal places as needed.) Which of the following is the correct conclusion for the hypothesis test?O A. Reject Ho; the data provide sufficient evidence to conclude that x is useful forpredicting y.O B. Do not reject Ho; the data provide sufficient evidence to conclude that x is useful forpredicting y.O C. Do not reject Ho; the data do not provide sufficient evidence to conclude that x isuseful for predicting y.O D. Reject Ho; the data do not provide sufficient evidence to conclude that x is useful forpredicting y.b. Find a 90% confidence interval for the slope of the population regression line.The 90% confidence interval for B₁ is from to(Round to three decimal places as needed.)

Given: n = 4 Y = -1.5 + 1.1X Formula Used: Test-statistic t = b-βSe Confidence interval = b ± t*se

Answered: For the data and sample regression…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 4GP

See similar textbooks

Similar questions

The following data are the monthly salaries and the grade point averages for students who obtained a bachelor's degree in business administration. GPA Monthly Salary ($) 2.6 3,600 3.4 3,900 3.6 4,300 3.2 3,800 3.5 4,200 2.9 3,900 The estimated regression equation for these data is and . Use Table 1 of Appendix B. a. Develop a point estimate of the starting salary for a student with a GPA of (to 1 decimal). b. Develop a confidence interval for the mean starting salary for all students with a GPA (to 2 decimals). ( , ) c. Develop a prediction interval for Ryan Dailey, a student with a GPA of (to 2 decimals). ( , ) d. Discuss the differences in your answers to parts (b) and (c).
Use the following linear regression equation to answer the questions. x1 = 1.7 + 3.9x2 – 8.5x3 + 2.2x4 Suppose x2 increased by 2 units. What would be the expected change in x1? Suppose x2 increased by 4 units. What would be the expected change in x1? (e) Suppose that n = 18 data points were used to construct the given regression equation and that the standard error for the coefficient of x2 is 0.454. Construct a 99% confidence interval for the coefficient of x2. (Use 2 decimal places.) lower limit ? upper limit ? (f) Using the information of part (e) and level of significance 10%, test the claim that the coefficient of x2 is different from zero. (Use 2 decimal places.) t ? t critical ± ?
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.)
Consider the following data: x¯ = 20, sx = 2, y¯ = −5, sy = 4, and b1 = 0.40. Which of the following is the sample regression equation?
The following sample observations were randomly selected X Y 4 4 5 6 3 5 6 7 10 7 What is the y-intercept of the regression equation?
If a sample of 25 pairs of data yields a correlation coefficient, r, of 0.390 and the scatterplot displays a linear trend, can you use the regression equation to make predictions, assuming your x-values are within the domain of the data set? Choose your answer from the multiple choice answers below A.) Yes, because rcrit = 0.396 and the regression coefficient, r, is less than this value. B.) Yes, because rcrit = 0.381 and the regression coefficient, r, is greater than this value. C.) No, because rcrit = 0.381 and the regression coefficient, r, is greater than this value. D.) No, because rcrit = 0.396 and the regression coefficient, r, is less than this value.
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 Find out F Statistics (Only report the integer part) F Statistics is statistically significant at 5% level. Answer Yes or No. Yes No Find out t statistics for the independent variable x (Keep 2 decimal places) 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)

Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill