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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 5.037 0.904 3.573 1.157 0.327 0.378 0.191 1.90 3.96 2.44 0.88 0.37 -0.9 0.49 1.01 y t= USE SALT (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 significance level. Calculate the test statistic. (Round your answer to two decimal places.) 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 Reject Ho. We have convincing evidence of a useful linear relationship between growth rate and research and development expenditure. O Fail to reject Ho. We 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. (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 to find the critical value. Round your answers to four decimal places.) 1)% per yr Interpret 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 outside 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 in 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. 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.

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 5.037 0.904 3.573 1.157 0.327 0.378 0.191 1.90 3.96 2.44 0.88 0.37 -0.9 0.49 1.01 y t= USE SALT (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 significance level. Calculate the test statistic. (Round your answer to two decimal places.) 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 Reject Ho. We have convincing evidence of a useful linear relationship between growth rate and research and development expenditure. O Fail to reject Ho. We 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. (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 to find the critical value. Round your answers to four decimal places.) 1)% per yr Interpret 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 outside 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 in 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. 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.

MATLAB: An Introduction with Applications
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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Consider the accompanying data on x = research and development expenditure (millions of dollars) and y = growth rate (% per year) for eight different industries. 3.573 1.157 0.327 0.378 0.191 x 2.025 5.037 0.904 y 1.90 3.96 2.44 0.88 0.37 USE SALT -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 significance level. Calculate the test statistic. (Round your answer to two decimal places.) t = Use technology 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 Reject Ho. We 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 Fail to reject Ho. We do not 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 to find the critical value. Round your answers to four decimal places.) % per yr Interpret 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 outside this interval. 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 research and development expenditure associated with a 1 percent change in growth rate is in 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.
Transcribed Image Text:Consider the accompanying data on x = research and development expenditure (millions of dollars) and y = growth rate (% per year) for eight different industries. 3.573 1.157 0.327 0.378 0.191 x 2.025 5.037 0.904 y 1.90 3.96 2.44 0.88 0.37 USE SALT -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 significance level. Calculate the test statistic. (Round your answer to two decimal places.) t = Use technology 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 Reject Ho. We 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 Fail to reject Ho. We do not 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 to find the critical value. Round your answers to four decimal places.) % per yr Interpret 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 outside this interval. 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 research and development expenditure associated with a 1 percent change in growth rate is in 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.
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