A student has access to rainfall and sunshine data for a particular location over a period of 60 years. She randomly selected a sample of 25 months from the 720 months available, and noted for each month in the sample the total rainfall (in mm) and the total sunshine (in hours). She then performed a regression analysis. Part of the computer output is shown below:
A student has access to rainfall and sunshine data for a particular location over a period of 60 years. She randomly selected a sample of 25 months from the 720 months available, and noted for each month in the sample the total rainfall (in mm) and the total sunshine (in hours). She then performed a regression analysis. Part of the computer output is shown below:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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All parts-Please define variables and everything.
Transcribed Image Text:A student has access to rainfall and sunshine data for a particular location over a period of 60 years. She
randomly selected a sample of 25 months from the 720 months available, and noted for each month in
the sample the total rainfall (in mm) and the total sunshine (in hours). She then performed a regression
analysis. Part of the computer output is shown below:
Dependent variable: Sunshine
SE Coef
Predictor
Constant 248.98414 48.45664 5.14
Rainfall
Coef
T
<.0001
-1.67023 0.654083 -2.55
0.0178
S = 57.834
R-sq = 22.1%
R-sq (adj)
= 18.7%
a) What is the correlation and interpret this in context!
b) Create a 95% confidence interval to predict the true relationship!
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