Problem 5. Infestation of crops by insects has long been of great concern to farmers and agri- cultural scientists. The article " Cotton Square Damage by the Plant Bug, Lygus hesperus, and Abscission Rates" (J. Econ. Entomology, 1988:1328-1337) reports data on X = age of a cotton plant (days) and Y =% damaged square. Consider the n = 11 observations studied in the ar- ticle. The summary statistics are listed in the following table. Suppose one used simple linear regression to analyze the data. Σ Σ Σ Σ Σ 479 213 4,653 26,985 10,953 (1). What is the sample correlation coefficient between X and Y? (2). What are the least squares estimates of Bo and B1? (3). Let ŷ, = Bo+B¡I, where Bg and ß¡ are the least squares estimates of Bo and B, respectively. Show that i=1 i=1

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A: From triangle BDC , BD=18mm,∠DAB=45°,∠DCB=αBA=dAC=b

Q: Which of the following statements is true about the Least Squares method of regression? The fitted…

A: Answer:-  Option A is right answer.

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Q: If two lines in the coordinate plane are perpendicular, then their slopes are In other words, For…

A: If two lines in a coordinate plane are perpendicular then their slopes are negative reciprocal of…

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Q: Use the given data for problem 2 and 3. Find each indicated value in order to find the equation of…

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Q: Need help with part 3

A: We find inverse of given Matrix

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.