Problem 4.30 Question Help seen each year for the past 10 years. It also indicat

Question

Problem 4.30 Question Help seen each year for the past 10 years. It also indicates what the robbery rate was in New Orleans during the same year 10 Number of Patients 35 3239 40 40 54 5855 Robbery Rate r 578 606 734 752 811 886 101.1 948 103.2 1172 1,000 Population The simple linear regression equation that shows the best relationship between the number of petients and year is (round your responses to thre docima placas! where y - Dependent Variable and x Independent Variable. remaining 23 MacBook Air FVO

Explanation / Answer

Solution:

Slope of regression line can be calculated as

= n×summation(xy) - summation(x)×summation(y) / n*(summation(x^2) - (summation(x))^2

X Y X^2 Y^2 XY

35 57.8 1225 3340.84 2023

32 60.6 1024 3672.36 1939.2

38 73.4 1444 5387.56 2789.2

40 75.2 1600 5655.04 3008

40 81.1 1600 6577.21 3244

54 88.6 2916 7849.96 4784.4

58 101.1 3364 10221.21 5863.8

55 94.8 3025 8987.04 5214

57 103.2 3249 10650.24 5882.4

61 117.2 3721 13735.84 7149.2

470 853 23168 76077.3 41897.2

Slope = (10×41897.2)-(470×853) /(10×23168-(470×470)

Slope =1.6755

Intercept can be calculated as

= summation(y)×summation(x^2) - summationx(x) ×summation(xy) / n×summation(x^2) - (Summation(x))^2

= 853×23168 - 470×41897.2 / 10×23168- 470×470

= 6.55102

So regression line as follows

Y = 6.551+ 1.676×X

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