Question

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variaties have a significant correlation) Then use the regression equation to predict the value of yo each of the given x-values, if meaningful. The table below shows the height in feet) and the number of stories of six notable buildings in a city Heights 772 5110 503 483 Stories 51 (a)x= 501 foot 652 feet 43 (c) x 790 fool (d) x 720 fot Find the regression equation (Round the slope to three decimal places as needed. Round they arep to two decimal places as needed) Choose the correct graph below ОА OB Ос. Оо. om 300 (a) Predict the value of y for x 501. Choose the correct answer below O A 41 OB. 51 OC. 47 OD not meaningful (5) Predict the value of y for x 652. Choose the correct answer below OA 41 OB. 54 C. 47 Cick to select your new

Answer 1

Date: VOUVA Given; Y $1 772 628 518 48 45 508 43 496 483 38 36 Find the regression equation Y btx ta Where, b = slope intercept a using excel command, calculate slope =sloper y values x values 0.044 - (Round to 3 decimal Using excel command calculate intercept intercept Y data values X data values) 18.67 ſc Round to decimao) 2 Hence we get b = slope a = intercept 0.044 18.67 v

Date: a &b value in Now Plug the regression equation Hence we get < 0.044 + 18-67 . Choose the correct graph Yo option 30 २० 10 200 400 600 @ Predict the value of Y for x=501 0.044 X 18.67 plug the value of x=sol 0.044 501 + 18-67 22.044 + 18.67 40.71 41V A 41 - (6 for x=65 Plug the value of x = 652 0.044 * 652 + 18.67 28.688 + 18.67 47.358 © 47 47