The table below show how irish women's height has changed over 100 years

Year Height

1914 166.4

1934 169

1954 172.6

1974 175.6

1994 177.8

2014 178.9

a.Decide which variable should be the independent variable and which should be the dependent variable.

b.Draw a scatter plot of the data.

c.Does it appear from inspection that there is a relationship between the variables? Why or why not?

d.Calculate the least-squares line. Put the equation in the form of: = a + bx

e.Find the correlation coefficient. Is it significant?

f.Find the estimated average for the year 19041904

g.Find the estimated average for the year 20242024

h. By looking at the values above, would you say it's reasonable to use the linear regression model to predict data for 100 years from now -i.g. the year 2121? Why or why not?

i.Are there any outliers in the data? If yes, which one(s)?

j. What is the slope of the least-squares (best-fit) line? Interpret the slope.