It is thought that prehistoric Indians did not take their besttools, pottery, and household items when they visited higherelevations for their summer camps. It is hypothesized thatarchaeological sites tend to lose their cultural identity andspecific cultural affiliation as the elevation of the siteincreases. Let x be the elevation (in thousands of feet) of anarchaeological site in the southwestern United States. Let y be thepercentage of unidentified artifacts (no specific culturalaffiliation) at a given elevation. The following data were obtainedfor a collection of archaeological sites in New Mexico. x 5.17 5.876.25 6.75 7.25 y 20 11 33 37 62 Complete parts (a) through (e),given ?x = 31.29, ?y = 163, ?x2 = 198.3733, ?y2 = 6823, ?xy =1073.47, and r ? 0.859. (a) Draw a scatter diagram displaying thedata. Get Flash Player Flash Player version 10 or higher isrequired for this question. You can get Flash Player free fromAdobe's website. (b) Verify the given sums ?x, ?y, ?x2, ?y2, ?xy,and the value of the sample correlation coefficient r. (Round yourvalue for r to three decimal places.) ?x = ?y = ?x2 = ?y2 = ?xy = r= (c) Find x, and y. Then find the equation of the least-squaresline y hat = a + bx. (Round your answers for x and y to two decimalplaces. Round your answers for a and b to three decimal places.) x= y = y hat = + x (d) Graph the least-squares line. Be sure to plotthe point (x, y) as a point on the line. WebAssign Plot WebAssignPlot WebAssign Plot WebAssign Plot (e) Find the value of thecoefficient of determination r2. What percentage of the variationin y can be explained by the corresponding variation in x and theleast-squares line? What percentage is unexplained? (Round youranswer for r2 to three decimal places. Round your answers for thepercentages to one decimal place.) r2 = explained % unexplained %(f) At an archaeological site with elevation 6.1 (thousand feet),what does the least-squares equation forecast for y = percentage ofculturally unidentified artifacts? (Round your answer to twodecimal places.) %