6. We are trying to model the relationship between X = the amount of for tilizer (tons per acre), and Y = corn yield (tone per acre). The following data were obtained for n=6 experimental plots y ** y* *y 0 18 0 324 0 1 22 1 484 7 2 24 4 576 48 3 25 7 625 75 4 25 16 625 100 Total 10 114 ? 2634 245 19 20 y 21 22 23 24 25 22 23 18 (a) Compute the regression equation of Y as a linear function of X. Add the regression line to the plot. (b) Predict the yield when X = 0.1. (c) Find the value of the correlation coefficient. Extra Credit Conduct a hypothesis test of whether the correlation is significantly different from 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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6. We are trying to model the relationship between X = the amount of for
tilizer (tons per acre), and Y = corn yield (tone per acre). The following
data were obtained for n=6 experimental plots
y ** y* *y
0
18 0
324 0
1
22
1
484 7
2
24 4
576 48
3
25 7
625 75
4 25 16
625 100
Total 10 114 ? 2634 245
19 20
y
21 22 23 24 25
22
23
18
(a) Compute the regression equation of Y as a linear function of X.
Add the regression line to the plot.
(b) Predict the yield when X = 0.1.
(c) Find the value of the correlation coefficient.
Extra Credit Conduct a hypothesis test of whether the correlation is significantly
different from 0.
Transcribed Image Text:6. We are trying to model the relationship between X = the amount of for tilizer (tons per acre), and Y = corn yield (tone per acre). The following data were obtained for n=6 experimental plots y ** y* *y 0 18 0 324 0 1 22 1 484 7 2 24 4 576 48 3 25 7 625 75 4 25 16 625 100 Total 10 114 ? 2634 245 19 20 y 21 22 23 24 25 22 23 18 (a) Compute the regression equation of Y as a linear function of X. Add the regression line to the plot. (b) Predict the yield when X = 0.1. (c) Find the value of the correlation coefficient. Extra Credit Conduct a hypothesis test of whether the correlation is significantly different from 0.
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