Annual high temperatures in a certain location have been tracked for a sample of 6 years. Let X represent the year and Y the high temperature (in C"). 2. 17.4 3. 15.06 4. 11,82 5. 6.98

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Annual high temperatures in a certain location have been tracked for a sample of 6 years. Let X represent
the year and Y the high temperature (in C).
y
2.
17,4
15.06
4
11.82
6.98
6.
3.74
7
3.3
Calculate the correlation coefficient. (Round to three decimal places.)
%3=
Let's test the significance of the correlation coefficient at a = 0.01 significance level.
Ho: There is not a significant relationship between the year and high temperature, i.e., p= 0.
Ha: There is a significant relationship between the year and high temperature, L.e., p#0.
a. Calculate the test statistic. Round to three decimal places.
b. Calculate the p-value. Round to four decimal places.
p-value -
C. Make a decision.
O Reject the null hypothesis.
O Do not reject the null hypothesis.
d. Is there enough evidence to support that there is a significant relationship between the year and high
temperature?
ONo
OYes
Transcribed Image Text:Annual high temperatures in a certain location have been tracked for a sample of 6 years. Let X represent the year and Y the high temperature (in C). y 2. 17,4 15.06 4 11.82 6.98 6. 3.74 7 3.3 Calculate the correlation coefficient. (Round to three decimal places.) %3= Let's test the significance of the correlation coefficient at a = 0.01 significance level. Ho: There is not a significant relationship between the year and high temperature, i.e., p= 0. Ha: There is a significant relationship between the year and high temperature, L.e., p#0. a. Calculate the test statistic. Round to three decimal places. b. Calculate the p-value. Round to four decimal places. p-value - C. Make a decision. O Reject the null hypothesis. O Do not reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? ONo OYes
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