Consider the accompanying data on x = research and development expenditure (thousands of dollars) and y X 2025 5039 904 3573 1157 327 378 191 = growth rate (% per year) for eight different industries. y 1.90 3.96 2.44 0.88 0.37 -0.90 0.49 1.01 (a) Would a simple linear regression model provide useful information for predicting growth rate from research and development expenditure? Use a 0.05 level of significance. Calculate the test statistic. (Round your answer to two decimal places.) t = What is the P-value for this test? (Use a statistical computer package to calculate the P-value. Round your answer to three decimal places.) P-value = What can you conclude? Do not reject Ho. We do not have convincing evidence of a useful linear relationship between growth rate and research and development expenditure. Reject Ho. We have convincing evidence of a useful linear relationship between growth rate and research and development expenditure. Do not reject H。. We have convincing evidence of a useful linear relationship between growth rate and research and development expenditure. 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 $1000 increase in expenditure. (Round your answer to six decimal places.) % per yr Interpret the resulting 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. We are 90% confident that the mean change in growth rate associated with a $1000 increase in research and development expenditure 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 in this interval. We are 90% confident that the mean change in growth rate associated with a $1000 increase in research and development expenditure is outside this interval.
Consider the accompanying data on x = research and development expenditure (thousands of dollars) and y X 2025 5039 904 3573 1157 327 378 191 = growth rate (% per year) for eight different industries. y 1.90 3.96 2.44 0.88 0.37 -0.90 0.49 1.01 (a) Would a simple linear regression model provide useful information for predicting growth rate from research and development expenditure? Use a 0.05 level of significance. Calculate the test statistic. (Round your answer to two decimal places.) t = What is the P-value for this test? (Use a statistical computer package to calculate the P-value. Round your answer to three decimal places.) P-value = What can you conclude? Do not reject Ho. We do not have convincing evidence of a useful linear relationship between growth rate and research and development expenditure. Reject Ho. We have convincing evidence of a useful linear relationship between growth rate and research and development expenditure. Do not reject H。. We have convincing evidence of a useful linear relationship between growth rate and research and development expenditure. 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 $1000 increase in expenditure. (Round your answer to six decimal places.) % per yr Interpret the resulting 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. We are 90% confident that the mean change in growth rate associated with a $1000 increase in research and development expenditure 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 in this interval. We are 90% confident that the mean change in growth rate associated with a $1000 increase in research and development expenditure is outside this interval.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
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13.4.1
Transcribed Image Text:Consider the accompanying data on x = research and development expenditure (thousands of dollars) and y
X 2025 5039 904 3573 1157 327 378 191
=
growth rate (% per year) for eight different industries.
y 1.90 3.96 2.44 0.88 0.37 -0.90 0.49 1.01
(a) Would a simple linear regression model provide useful information for predicting growth rate from research and development expenditure? Use a 0.05 level of significance.
Calculate the test statistic. (Round your answer to two decimal places.)
t =
What is the P-value for this test? (Use a statistical computer package to calculate the P-value. Round your answer to three decimal places.)
P-value =
What can you conclude?
Do not reject Ho. We do not have convincing evidence of a useful linear relationship between growth rate and research and development expenditure.
Reject Ho. We have convincing evidence of a useful linear relationship between growth rate and research and development expenditure.
Do not reject H。. We have convincing evidence of a useful linear relationship between growth rate and research and development expenditure.
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 $1000 increase in expenditure. (Round your answer to six decimal places.)
% per yr
Interpret the resulting 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.
We are 90% confident that the mean change in growth rate associated with a $1000 increase in research and development expenditure 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 in this interval.
We are 90% confident that the mean change in growth rate associated with a $1000 increase in research and development expenditure is outside this interval.
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