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). Bo i 1 (b) Test for the significance of regression using a = 0.01. hypothesis that ß1 0. (c) Estimate the correlation coefficient. Round your answer to three decimal places (e.g. 98.765). r = i

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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.
X
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
5
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. X 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 5 268 6.2 280 12 596 17.1 711 14.1 551 6.1 242
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
1
(b) Test for the significance of regression using a = 0.01.
v hypothesis that B1
:0.
(c) Estimate the correlation coefficient.
Round your answer to three decimal places (e.g. 98.765).
r =
(d) Test the hypothesis that p =
: 0, using a
= 0.1.
hypothesis that p
0.
(e) Test the hypothesis that p
0.1, using α
0.1.
%|
hypothesis thatp = 0.1.
(f) Construct a 95% confidence interval for the correlation coefficient.
Round your answers to three decimal places (e.g. 98.765).
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 1 (b) Test for the significance of regression using a = 0.01. v hypothesis that B1 :0. (c) Estimate the correlation coefficient. Round your answer to three decimal places (e.g. 98.765). r = (d) Test the hypothesis that p = : 0, using a = 0.1. hypothesis that p 0. (e) Test the hypothesis that p 0.1, using α 0.1. %| hypothesis thatp = 0.1. (f) Construct a 95% confidence interval for the correlation coefficient. Round your answers to three decimal places (e.g. 98.765). i
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