3. Let X be the nxp data matrix, define the deviation vector as d; = (x1j-Tj, ..., XnjT;)'. Let 0 be the angle between the jth and Ith deviation vectors. Calculate thelengths of ||d;|| and cos(0). Relate these quantities to the sample covariance andsample correlation.

Let X be the n×p matrix, X=x11 x12 .......... x1px21 x22 ..........…

Answered: Let X be the nxp data matrix, define…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of a = 0.01. Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. O A. OB. Best Actor (years) 70- 20- 20 70 Best Actress (years) Best Actor (years) The linear correlation coefficient is r= (Round to three decimal places as needed.) xample Get more help. 70- ||||||||| THHHH 20+ 20 Best Actr 11111 H ||||||||| Qu 70 Q *** Best Actor (years) C. 20+ 20 P +||||| HHHH 70 Best Actresses and Best Actors 29 Best Actress 29 30 29 59 32 32 43 Best Actor 45 37 40 43 49 50 59 48 O D. Best Actor (years) 64 37 70- 20+ 20 D M 23 42 53 55 43…
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Let X be the nxp data matrix, define the deviation vector as d; = (x1j- j, ..., Xnj T;)'. Let 0 be the angle between the jth and Ith deviation vectors. Calculate the lengths of ||d;|| and cos(0). Relate these quantities to the sample covariance and sample correlation.