(a).

Observe the table: \ \

Plot the points using excel sheet method.

Observe the graph :

The data appears to have a positive linear correlation.

(b).

.

The correlation coefficient indicates that the data have a strong positive linear corelation.

Since and , the statistic falls within the critical region and the null hypothesis is rejected.

Therefore, the correlation is significant at the level.

(c).

, a slope indicates that for each additional year, the life expectency will increase by a rate of per year.

The -intercept indicates that in , the average life expectency will be approximately .

(d).

By using the regression model the average life expecentency in is , which is probably not reasonable.

(a)

(b)

The correlation is significant at the level.

(c)

In , the average life expectency will be approximately .

(d)

The average life expecentency in is , which is probably not reasonable.