Question

given the following table compute the linear model

height (inches)	weight (pounds)
60	110
62	120
64	115
66	155
69	160

What are the following values?

correlation coefficient
b
m
what is the model?
if the height =67 what is the weight?

Answer 1

Using TI 84 calculator

press stat then edit and enter height data in L1 and weight data in L2

again, press stat then calc and select LinReg(mx+b)

select L1 as X list and L2 as Y list

press calculate

we get

m = 6.107 and b = -260.041

Model is Weight = 6.107*height - 260.041

When height = 67,setting height = 67 in the equation, we get

Weight = 6.107*67 - 260.041

= 409.169- 260.041

= 149.128

For correlation, copy and paste the data into excel sheet

then use CORREL function

select weight data as array 1 and height data as array 2

we get

correlation (r) = CORREL(weight, height)

= 0.9033 (rounded to 4 decimals)