Annual high temperatures in a certain location have been tracked for a sample of 7 years. Let X represent the year and Y the high temperature (in C∘). x y 4 17.4 5 17.15 6 20 7 22.85 8 26.1 9 25.65 10 29.1   Calculate the correlation coefficient. (Round to three decimal places.) r= Let's test the significance of the correlation coefficient at α=0.1 significance level. H0: There is not a significant relationship between the year and high temperature, i.e., ρ=0. Ha: There is a significant relationship between the year and high temperature, i.e., ρ≠0. Calculate the test statistic. Round to three decimal places. t=  Calculate the p-value. Round to four decimal places. p-value = Make a decision. Do not reject the null hypothesis. Reject the null hypothesis. 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 7 years. Let X represent the year and Y the high temperature (in C∘).

x y
4 17.4
5 17.15
6 20
7 22.85
8 26.1
9 25.65
10 29.1

 

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

Let's test the significance of the correlation coefficient at α=0.1 significance level.

H0: There is not a significant relationship between the year and high temperature, i.e., ρ=0.

Ha: There is a significant relationship between the year and high temperature, i.e., ρ≠0.

  1. Calculate the test statistic. Round to three decimal places.
    t= 


  2. Calculate the p-value. Round to four decimal places.
    p-value =

  3. Make a decision.
    • Do not reject the null hypothesis.
    • Reject the null hypothesis.


  4. Is there enough evidence to support that there is a significant relationship between the year and high temperature?
    • No
    • Yes 
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