Annual high temperatures in a certain location have been tracked for a sample of 15 years. Let Xrepresent the year and Y the high temperature (in C°).x525.42626.39724.36820.13917.81019.2711 15.4412132313.6113.5814 9.751510.42167.99173.86184.53191.8Calculate the correlation coefficient. (Round to three decimal places.)T=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.H: 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-valuec. Make a decision.ODo not reject the null hypothesis.O Reject the null hypothesis.d. Is there enough evidence to support that there is a significant relationship between the year and hightemperature?O YesO No

The data for random variables X and Y is given…

Answered: Annual high temperatures in a certain…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Annual high temperatures in a certain location have been tracked for several years. Let XX represent the year and YY the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between XX and YY. Use calculator/Excel! x y 3 21.84 4 19.8 5 18.96 6 20.52 7 18.38 8 14.84 9 12.5 10 11.86 11 10.32 12 7.88 13 8.64 14 8.1
A student collects data from friends and family to see if there is a linear relationship between a person's age (x) and the person's shoe size (y). Using the data in the table calculate the Pearson Correlation Coefficient for the sample. 56 19 45 28 33 ty 6 17 9 O 0.07 -0.07 1.00 r does not exist in this case.
Use the given data set to complete parts (a) through (c) below. (Use a=0.05.) 12 7 9 11 14 6. 7.26 4.74 10 8 13 6.12 9.13 8.74 8.76 9.26 8.11 3.11 y 9.13 8.15 Click here to view a table of critical values for the correlation coefficient. .... a. Construct a scatterplot. Choose the correct graph below. B. Oc. OD. A. AY 10- Ay 10- Ay 10- Ay 10- 8- 8- 8- 8- 6- 6 6- 6- 4- 4- 4- 4- 2- 2- 2- 2- 0- 4 8 4 8 12 16 12 16 0- 04 8. 12 16 4 12 16 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r=. (Round to three decimal places as needed.)
Annual high temperatures in a certain location have been tracked for a sample of 16 years. Let and the high temperature (in ). represent the year X y 3 42.75 4 42.24 5 38.83 6 39.02 7 36.31 8 33.5 9 30.29 10 29.18 13 11 26.27 12 23 24.66 23.45 14 23.64 15 21.73 16 17.52 17 15.61 18 14.6 Calculate the correlation coefficient. (Round to three decimal places.) -0.993 Let's test the significance of the correlation coefficient at α = 0.1 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, 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 = 0.00015 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? Yes No…
Annual high temperatures in a certain location have been tracked for several years. Let XX represent the year and YY the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between XX and YY. Use your calculator! x y 5 13.15 6 13.1 7 13.75 8 14.6 9 13.85 10 14.3 11 18.25 12 15.9 13 19.55 14 18.2 15 18.95 16 21 r=r=
K Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) X y 10 9.14 8 8.14 13 8.73 9 8.76 Click here to view a table of critical values for the correlation coefficient. ' ó 4 8 12 16 11 9.27 14 8.09 6 6.13 4 3.09 12 9.12 04 8 12 16 64 8 12 16 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r=. (Round to three decimal places as needed.) OA. There is insufficient evidence to support the claim of a linear correlation between the two variables. OB. There is sufficient evidence to support the claim of a linear correlation between the two variables. OC. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables. OD. There is sufficient evidelice to support the claim of a nonlinear correlation between the two variables. c. Identify the feature of the data that…
Annual high temperatures in a certain location have been tracked for several years. Let XX represent the year and YY the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between XX and YY. Use your calculator! x y 3 14.3 4 13.89 5 15.58 6 14.87 7 12.66 8 10.15 9 9.54 10 8.13 11 11.42 12 9.81 13 6.6 r=
Use the given data set to complete parts (a) through (c) below. (Use a =0.05.) 10 8 13 9. 11 14 4 12 7 y 9.15 8.14 8.74 8.77 9.25 8.11 6.12 3.09 9.14 7.26 4.74 Click here to view a table of critical values for the correlation coefficient. Ay 10- Ay 10- 本Y 10- y 10- 8- 8- 6- 8- 8- 6- 6- 6- 4- 4- 4 4. 2- 2- 2- 2- 0- 4 8 12 16 4 8 12 16 4 18 12 16 4 8. 12 16 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= (Round to three decimal places as needed.)
Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Ý the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between X and Y. Use your calculator! y 3 24.31 4 21.82 22.63 6 22.54 7 21.35 8. 20.06 6. 18.47 10 18.98 11 18.29 12 16.3
Annual high temperatures in a certain location have been tracked for several years. Let XX represent the year and YY the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between XX and YY. Use calculator/Excel! x y 3 22.92 4 23.3 5 19.68 6 17.96 7 18.34 8 18.22 9 16.2 10 14.48 11 11.56 12 11.04 13 11.52 14 10.2 r=r=
Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between X and Y. Use your calculator! y 4 42.95 41.28 40.01 37.04 35.27 33.6 33.53 9. 10 11 30.76 12 30.09 13 26.12 25.15 14 15 25.18 16 24.31 17 20.94 18 22.27 19 20 +nlo N8 901 2/34 59u
Annual high temperatures in a certain location have been tracked for several years. Let XX represent the year and YY the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between XX and YY. Use your calculator! x y 4 27.26 5 28.55 6 27.94 7 30.23 8 35.62 9 37.91 10 39.5 11 38.59 12 41.88 13 44.57 r=r=

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