38. Home Prices The following table shows median home prices, in thousands of dollars, in four regions of the United States in May 2013, as well as the year-over-year changes in 2014 and 2015:2 Northeast Midwest South West May 2013 270 160 183 276 Change in 2014 -13 6 0 18 Change in 2015 12 16 15 30 Use matrix algebra to find the median home price in each region in May 2014 and 2015. [HINT: See Example 2.]In your own words, define multivariate analysis. Name the most important factors contributing to the increased application of techniques for multivariate data analysis in the last decade. List and describe the multivariate data analysis techniques described in this chapter. Cite examples for which each technique is appropriate. Explain why and how the various multivariate methods can be viewed as a family of techniques.Let A = no. of voters who are prefer candidate A in a sample then X ~ Binomial(n, 0.55). X 0.55 * 0.45 Now, p = N| 0.55, = 0.4975/ vn (Using CLT) n Now, P (p > 0.5) > 0.9 = P(p (1.2816* 0.4975/0.05)- = 162.61 Smallest sample size = n = 163