Annual high temperatures in a certain location have been tracked for a sample of 16 years. Let X represent the year and Y the high temperature (in C°). X y 5 18.35 6 17.58 7 21.11 20.34 9 19.77 10 24.2 11 24.23 12 25.36 13 26.89 14 26.92 15 25.65 16 56780 26.48 17 30.51 18 29.24 19 32.67 20 33.1 Calculate the correlation coefficient. (Round to three decimal places.) r = Let's test the significance of the correlation coefficient at a = 0.01 significance level. HoThere 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, i.e., p = 0. a. Calculate the test statistic. Round to three decimal places. t = b. Calculate the p-value. Round to four decimal places. p-value c. Make a decision. Reject the null hypothesis. 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? No Yes

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Annual high temperatures in a certain location have been
tracked for a sample of 16 years. Let X represent the year
and Y the high temperature (in C°).
X
y
5
18.35
6 17.58
7 21.11
20.34
9 19.77
10
24.2
11
24.23
12 25.36
13 26.89
14 26.92
15 25.65
16
56780
26.48
17 30.51
18 29.24
19
32.67
20 33.1
Calculate the correlation coefficient. (Round to three
decimal places.)
r =
Let's test the significance of the correlation coefficient
at a = 0.01 significance level.
HoThere 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, i.e., p = 0.
a. Calculate the test statistic. Round to three decimal
places.
t
=
b. Calculate the p-value. Round to four decimal places.
p-value
c. Make a decision.
Reject the null hypothesis.
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?
No
Yes
Transcribed Image Text:Annual high temperatures in a certain location have been tracked for a sample of 16 years. Let X represent the year and Y the high temperature (in C°). X y 5 18.35 6 17.58 7 21.11 20.34 9 19.77 10 24.2 11 24.23 12 25.36 13 26.89 14 26.92 15 25.65 16 56780 26.48 17 30.51 18 29.24 19 32.67 20 33.1 Calculate the correlation coefficient. (Round to three decimal places.) r = Let's test the significance of the correlation coefficient at a = 0.01 significance level. HoThere 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, i.e., p = 0. a. Calculate the test statistic. Round to three decimal places. t = b. Calculate the p-value. Round to four decimal places. p-value c. Make a decision. Reject the null hypothesis. 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? No Yes
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