Business statistics

Question

Based on the data shown below, calculate the regression line (each value to two decimal places)

y = _____ x + _____

xy
2	14.96
3	15.94
4	17.82
5	18.5
6	21.78
7	23.66
8	24.24
9	22.32
10	23.7
11	26.58
12	26.76
13	27.44

Answer 1

Hi Salma,

In a TI-83 or 83 Plus calculator, go to STAT-EDIT-enter above data into lists L₁ and L₂. Then, click STAT-CALC-LinReg (ax + b), input L₁, L₂. It should give you values for a, the slope, b, the intercept, along with the correlation and r². It is also possible to do this with an online calculator, but it is mathematically complicated to compute manually. Final regression line:

y^=1.13x + 13.47

I hope this helps.