Question

A random sample of 11 hikers produced the following data, where x is the age of the hiker, and y is the maximum number of miles hiked per week. The data are presented below in the table of values.

x y

6 19

7 26

10 35

13 34

14 36

17 45

18 44

20 54

23 48

24 67

25 53

What is the value of the intercept of the regression line, b, rounded to one decimal place? Provide your answer below:

Answer 1

Let the predictor variable be x(age of the hiker) and the response variable be y(number of miles hiked per week). Then the equation of regression line be given as-

a: slope of regression line

b: intercept of regression line

Intercept (b)

6	19	36	114
7	26	49	182
10	35	100	350
13	34	169	442
14	36	196	504
17	45	289	765
18	44	324	792
20	54	400	1080
23	48	529	1104
24	67	576	1608
25	53	625	1325

So the value of intercept for the regression line, is