Problem 4: Price-fixing Litigation(5 points) Background: Multiple regression is sometimes used in litigation. In the case of Cargill,Inc. v. Hardin, the prosecution charged that the cash price of wheat was manipulated in violation of the Commodity Exchange Act. In a statistical study conducted for this case, a multiple regression model was developed to predict the price of wheat using three supply- and demand explanatory variables. Data for 14 years were used to construct the regression equation, and a prediction for the suspect period was computed from this equation. The value of R2 was 0.989. Problem: Cargill, Inc. had priced the wheat at $2.13. Their legal team needed to demonstrate that the price was not artificially depressed. For purposes of this project, suppose the sample size was 100. Requirements: 1.(2.5 points) For the relevant case, the fitted model gave the predicted value $2.136 with standard error $0.013. Based on this, determine the 95% prediction interval for the price of wheat. 2.(2.5 points)

Answer:

[tex]Critical\ value=1.66039[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=100[/tex]

Mean price of wheat [tex]\=x=2.136[/tex]

Standard error [tex]S_e=$0.013[/tex]

95% prediction interval

Generally the equation for 95% confidence is mathematically given by

[tex]\alpha=1-95\%[/tex]

[tex]\alpha=1-0.95[/tex]

[tex]\alpha=0.05[/tex]

Generally the degree of freedom [tex]d_f[/tex]  is mathematically given by

[tex]d_f=n-1[/tex]

[tex]d_f=100-1[/tex]

[tex]d_f=99[/tex]

Generally the critical [tex]t_{\alpha,df}[/tex] value is mathematically given by

[tex]t_{(0.05,99)}[/tex]

[tex]t_{(0.05,99)}=1.66039[/tex]

Therefore the critical associated with 95% predication interval is [tex]Critical\ value=1.66039[/tex]

What point is 4 points from m

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On the coordinate plane shown below, points
G and I
have coordinates (6 ,4) and (3 ,2), respectively.


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O A 18%
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