1.Annual high temperatures in a certain location have been tracked for a sample of 14 years. LetX represent the year andY the high temperature (inC).

X 1 2 3 4 5 6 7 8 9 10 11 12 13 14

Y 29.85 28.1 27.05 24 21.45 20 19.75 15.9 13.95 13.5 11.05 10 10.85 6.1

2.Calculate the correlation coefficient. (Round to three decimal places.)

r=

3.Let's test the significance of the correlation coefficient at=0.01 significance level.

H0:

There is not a significant relationship between the year and high temperature, i.e.,=0.

Ha:

There is a significant relationship between the year and high temperature, i.e.,

0

4.Calculate the test statistic.Round to three decimal places

t=

5.Calculate the p-value.Round to four decimal places.

p-value =

6.Make a decision.

• Do not reject the null hypothesis.
• Reject the null hypothesis.

7.Is there enough evidence to support that there is a significant relationship between the year and high temperature?

• Yes
• No