Assume that the averages are jointly normally distributed. (a) Find a regression line relating the production rate to the number of employees. Round your answers to one decimal place (e.g. 98.7). i P = i (b) Test for the significance of regression using a = 0.01. hypothesis that B, = 0. (c) Estimate the correlation coefficient. Round your answer to three decimal places (e.g. 98.765).

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Assume that the averages are jointly normally distributed.
(a) Find a regression line relating the production rate to the number of employees.
Round your answers to one decimal place (e.g. 98.7).
i
i
(b) Test for the significance of regression using a = 0.01.
hypothesis that B, = 0.
(c) Estimate the correlation coefficient.
Round your answer to three decimal places (e.g. 98.765).
r =
i
(d) Test the hypothesis that p = 0, using a = 0.05.
hypothesis that p = 0.
(e) Test the hypothesis that p = 0.8, using a = 0.1.
hypothesis that p = 0.8.
(f) Construct a 99% confidence interval for the correlation coefficient.
Round your answers to three decimal places (e.g. 98.765).
Sps i
Transcribed Image Text:Assume that the averages are jointly normally distributed. (a) Find a regression line relating the production rate to the number of employees. Round your answers to one decimal place (e.g. 98.7). i i (b) Test for the significance of regression using a = 0.01. hypothesis that B, = 0. (c) Estimate the correlation coefficient. Round your answer to three decimal places (e.g. 98.765). r = i (d) Test the hypothesis that p = 0, using a = 0.05. hypothesis that p = 0. (e) Test the hypothesis that p = 0.8, using a = 0.1. hypothesis that p = 0.8. (f) Construct a 99% confidence interval for the correlation coefficient. Round your answers to three decimal places (e.g. 98.765). Sps i
The following table contains the average number of employees per 100 hectares (x) and the production rate per 100 hectares (y) at 15
different farms in a region.
y
7.5
404
16.6 702
10.9 507
6.5
385
10
464
12.1
495
8.6
400
10.2
503
7.5
310
268
6.2
280
12
596
17.1
711
14.1
551
6.1
242
Transcribed Image Text:The following table contains the average number of employees per 100 hectares (x) and the production rate per 100 hectares (y) at 15 different farms in a region. y 7.5 404 16.6 702 10.9 507 6.5 385 10 464 12.1 495 8.6 400 10.2 503 7.5 310 268 6.2 280 12 596 17.1 711 14.1 551 6.1 242
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