Question

Use the regression equation to predict the number of motor vehicle fatalities in a western state with a population of 4 million people (40 hundred thousand people). Does this answer seem reasonable based on the given data? Why or why not?

• Population (hundreds of thousands) = 3.3277772 + 0.054110317 Motor Vehicle Fatalities

Motor Vehicle Fatalities	Population (hundreds of thousands)
87	7
1117	50
4078	361
742	47
119	13
264	14
270	9
381	24
449	19
436	36
328	25
659	63
176	5

Answer 1

X-x 376335 173504.3 11407766 1725.447 X-x 87 2004.28 3.13007 95623.7 22.7453 1503.05 1426.51 1829.2 771.128 1073.82 248.668 716.59 126.131 2187.36 107536 27464.2 736.94 1044439 198.11 22542.8 16484.8 18410.5 8871.19 8240.19 4170.35 9970.5 465.65 24528.6 1183721 50 361 47 13 4078 742 119 264 270 381 449 436 328 659 176 9106 338097..5 24 19 36 25 63 190498.6 185297.1 102055.6 63232.89 69939.88 138727.6 1719.056 275059.9 13323959 673 x 9106 673 13 x =-=-=700.4615. У =-=51.7692 ー Sxx-x) 13323959,

>: (yyy. :107536 s,- (x-x) *(y-y)-1183721 Regression equation bo bix Slove b. - Sp_1183721 Intercept b,-У-bix -51.7692-(0.0888*700.4615)--10.4609 The regression equation is ỷ--10.4 609 +0.0888(x) Population--10.4609 +0.0888(motor Vehicle Fatalities) 9 17200888 xx 13323959 Given Population 4 hundred thousand people 4-10.4609 +0.0888(motor Vehicle Fatalities) Motor Vehicle Fatalities 4+10.4609)/0.0888 -162.848 163 The answer does not seems to reasonable because, The predicted value never give a independent Variable (since population is predicted variable)