Score: 0 of 1 pt 28 of 35 (14 complete) Hw Score: 35.12%, 12.29 of 35 pts 10.3.3

Question

Score: 0 of 1 pt 28 of 35 (14 complete) Hw Score: 35.12%, 12.29 of 35 pts 10.3.31-T Question Help Listed below are paired data consisting of movie budget amounts and the amounts that the movies grossed. Find the regression equation, letting the budget be the predictor (x) variable. Find the best predicted amount that a movie will gross if its budget is $130 million. Use a significance level of 0.05 Budget (S)in Millions Gross () in Millions 39 24 116 68 79 50 119 124 21 15 155 10 2 121 9 102 66 122 108 98 94 54 113 219 41 12 283 Click the icon to view the critical values of the Pearson correlation coefficient r. The regression equation is y |x. (Round to one decimal place as needed.) Enter your answer in the edit fields and then click Check Answer Clear All Check Answer remaining

Explanation / Answer

Line of Regression Y on X i.e Y = bo + b1 X

calculation procedure for regression

mean of X = X / n = 63

mean of Y = Y / n = 98.8667

(Xi - Mean)^2 = 31108

(Yi - Mean)^2 = 75091.73

(Xi-Mean)*(Yi-Mean) = 39633

b1 = (Xi-Mean)*(Yi-Mean) / (Xi - Mean)^2

= 39633 / 31108

= 1.27405

bo = Y / n - b1 * X / n

bo = 98.8667 - 1.27405*63 = 18.60185

value of regression equation is, Y = bo + b1 X

Y'=18.60185+1.27405* X

round one decimal equantion,

Y'=18.65+1.27* X

and when x = 130, => Y'=18.65+1.27* 130 = 183.75

X Y (Xi - Mean)^2 (Yi - Mean)^2 (Xi-Mean)*(Yi-Mean) 39 121 576 489.88297 -531.1992 24 9 1521 8076.0238 3504.8013 116 102 2809 9.81757 166.0649 68 66 25 1080.22 -164.3335 79 122 256 535.14957 370.1328 50 108 169 83.41717 -118.7329 119 98 3136 0.75117 -48.5352 66 94 9 23.68477 -14.6001 4 54 3481 2013.0208 2647.1353 55 113 64 199.75017 -113.0664 124 219 3721 14432.01 7328.1313 21 41 1764 3348.555 2430.4014 15 12 2304 7545.8236 4169.6016 155 283 8464 33905.072 16940.2636 10 41 2809 3348.555 3066.9351

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