Question

In looking at regression analysis further, sometimes people of different sizes and weights. If compared a patients heights vs weights in the following way

Heights in inches for x	Weights in pounds for y
56	187
63	203
71	234
75	282

What would be the regression linear equation that would model this? What would be the steps to show this out? How could you use it to figure out the weight of a 88 inch person? How could you use it to find the height of a 350 pound person? In a few sentences how could this be applied to your work place in another area, such as making a presentation to administration or doctors? I need tutorial on how to present this information in linear regression and interpret. thank you

Answer 1

x	y	(x - xbar)	(y - ybar)	(x - xbar)*(y - ybar)	(x - xbar)²	(y - ybar)²
56	187	-10.25	-39.5	404.875	105.0625	1560.25
63	203	-3.25	-23.5	76.375	10.5625	552.25
71	234	4.75	7.5	35.625	22.5625	56.25
75	282	8.75	55.5	485.625	76.5625	3080.25
xbar	ybar	Σ(x - xbar)	Σ(y - ybar)	Σ(x - xbar)*(y - ybar)	Σ(x - xbar)²	Σ(y - ybar)²
66.25	226.5	0	0	1002.5	214.75	5249
b1 = Σ(x - xbar)*(y - ybar)/Σ(x - xbar)²	4.67
bo = ybar - b1*xbar	-82.77

The regression linear equation is:

y = b0 + b1*x

y = -82.77 + 4.67*x

For finding the weight of a 88 inch person, put x = 88

y = -82.77 + 4.67*88

y = 328.03

The height of a 350 pound person is 328.03.

For finding the weight of a 350-pound person, put y = 350

350 = -82.77 + 4.67*x

x = 92.71

The weight of a 350-pound person is 92.71.