Consider the accompanying data on x = research and development expenditure (millions of dollars) and y = growth rate (% per year) for eight different industries.X 2.025 5.039 0.904 3.573 1.157 0.327 0.378 0.191y1.90 3.96USE SALT2.440.880.37-0.9 0.49 1.01(a) Would a simple linear regression model provide useful information for predicting growth rate from research and development expenditure? Test the appropriate hypotheses using a 0.05 significancelevel.Calculate the test statistic. (Round your answer to two decimal places.)t =Use technology to find the P-value for this test. (Round your answer to four decimal places.)P-value =What can you conclude?O Reject Ho. We do not have convincing evidence of a useful linear relationship between growth rate and research and development expenditure.O Fail to reject Ho. We do not have convincing evidence of a useful linear relationship between growth rate and research and development expenditure.O Fail to reject H. We have convincing evidence of a useful linear relationship between growth rate and research and development expenditure.O Reject Ho. We have convincing evidence of a useful linear relationship between growth rate and research and development expenditure.(b) Use a 90% confidence interval to estimate the average change in growth rate associated with a $1,000,000 increase in expenditure. (Use technology or the Distribution Calculators page in SALT tofind the critical value. Round your answers to four decimal places.)% per yrInterpret the resulting interval.O We are 90% confident that the mean change in growth rate associated with a $1,000 increase in research and development expenditure is in this interval.O We are 90% confident that the mean change in growth rate associated with a $1,000 increase in research and development expenditure is outside this interval.O We are 90% confident that the mean change in research and development expenditure associated with a 1 percent change in growth rate is outside this interval.O We are 90% confident that the mean change in research and development expenditure associated with a 1 percent change in growth rate is in this interval.

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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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