kainatshahzadi69

Lv1

Kainat ShahzadiCentral University of Gujarat - CUG

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Business1Precalculus1

Fill in the blank with an appropriate expression.

Complete the formula for the law of cosines:

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kainatshahzadi69Lv1

3 Aug 2022

Answer: a2=b2+c2-2bccosA

**URGENT** due in a couple of hours. Please do all of the parts. Excel file is there.

Denise Lau is an avid football fan and religiously follows every game of the National football League. During the 2017 season, she meticulously keeps a record of how each quarterback has played throughout the season. Denise is making a presentation at the local NFL fan club about these quarterbacks. The accompanying table shows a portion of the data that Denise has recorded with the following variables: the player's name (Player), team's name (Team), completed passes (Comp), attempted pass (Att). completion percentage (Pct), total yards thrown (Yds), average yards per attempt (Avg), yards thrown per game (Yds/G), number of touchdowns (TD), and number of interceptions (Int).

Player	Team	Comp	Int
Aaron Rodgers	GB	154	6
Alex Smith	KC	341	5

Tyrod Taylor	BUF	263	4

a. Conduct principal component analysis on al the numerical variables in the cots set. Should you use the covariance matrix or the correlation matric. for the analysis in this case?

◯ Use the covariance matric because the variables have different scales

◯ Use the covariance matrix because the variables have the same scale

◯ Use the correlation matrix because the variables have different scales

◯ Use the correlation matrix because the variables have the same scale

b. Allow the maximum number of principal components to be calculated by the software. How many principal components are computed? What percent of the total variability is accounted for by the first three principal components? How marry principal components must be retained in order to account for at least 80% of the total variance in the data? (Show your final answer as a percentage point with 2 decimal places.)


Number of principal components
Percentage of the total variability		%
Components retained for at least 80% of total variance

c. Which original variable is given the highest weight to compute the first principal component? Which original variable is given the highest weight 10 compute the second principal component?


	was given the most weight to compute the first principal component
	was given the most weight to compute the second principal component

d. What is the principal component 1 score for the first record (Aaron Rodgers)? (Round your final answer to 4 decimal places.)

The first record (Aaron Rodgers) has a score of

for the first principal component