MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. At the 0.05 significance level, does the data below show significant (linear) correlation between X and Y? x y 4 29.04 5 26.4 6 29.06 7 44.22 8 35.98 9 49.64 10 46.3 11 46.46 12 50.42 13 61.78 Yes, significant correlation Noarrow_forwardYou wish to determine if there is a negative correlation between the two variables at a significance level of a = 0.05. You have the following data set: y 22.1 43.8 24.9 37.2 25.4 33.4 32.5 42.3 23.3 56.5 22.6 54.7 28.9 25.2 What is the correlation coefficient for this data set? Round to 3 decimal places Find the test statistic, p-value, df, and critical value(s) for a Correlationt Test on this data. Round to 3 decimal places t = p-value = %3D df = tc = Your final conclusion is that... OThere is not enough evidence to show that there is a negative correlation between the two variables. There is enough evidence to show that there is a negative correlation between the two variables.arrow_forwardYou wish to determine if there is a negative linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 22 20 53 25 19 30 35 23 71 26 36 21 48 25 19 28 Ho: ρ = 0Ha: ρ < 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Greater than αα Less than (or equal to) αα The p-value leads to a decision to Accept Ho Do Not Reject Ho Reject Ho The conclusion is There is a significant linear correlation between driver age and number of driver deaths. There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. There is a significant positive linear correlation between driver age and number of driver deaths.…arrow_forward
- You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.05α=0.05. You have the following bivariate data set. x y 43.5 181.7 81.9 106.1 74.4 58.4 99 1.8 83.1 -6.3 29.5 150.5 62.6 44.7 66.4 54 60.5 142.9 66.7 48.7 60.3 41 61.7 171.8 What is the critival value for this hypothesis test?rc.v. = What is the correlation coefficient for this data set?r =arrow_forwardYou wish to determine if there is a linear correlation between the two variables at a significance level of α=0.02α=0.02. You have the following bivariate data set. x y 25.2 64.3 15.3 79.6 39 49.8 30 75.1 14.8 82.2 15.7 69.9 4.3 92.5 17.9 84.4 13.4 77.6 18.4 74.4 25 78.1 24.4 65 23.7 69.7 10.9 89.1 31.3 65.3 20.6 82.4 20.4 81.1 29 68.2 13.9 92 8.7 88.4 5.3 93.4 What is the correlation coefficient for this data set? r = (report answer accurate to at least 3 decimal places)What is the p-value for this correlation coefficient? p-value =arrow_forwardYou wish to determine if there is a linear correlation between the two variables at a significance level of α=0.01α=0.01. You have the following bivariate data set. x y 43.5 15.5 31.7 -8 50 4.3 48.9 9.4 64.2 17.8 40.6 4.2 69.9 17.3 65.8 30.7 74.1 29.3 65.5 43.8 58.5 34.2 64.9 27.8 What is the critival value for this hypothesis test?rc.v. = What is the correlation coefficient for this data set?r = Your final conclusion is that... There is insufficient sample evidence to support the claim the there is a correlation between the two variables. There is sufficient sample evidence to support the claim that there is a statistically significant correlation between the two variables. Note: In your calculations, round both r and t to 3 decimal places in ALL calculations.arrow_forward
- You wish to determine if there is a positive linear correlation between the two variables at a significance level of α=0.05α=0.05. You have the following bivariate data set. x y 43 21.8 81.3 122.7 48.9 50.4 38.3 75 58 85.9 25 10.5 74.7 105.6 72 71.8 70.7 64.7 60.6 83.6 65.6 78.3 56.8 72.9 73 64.5 43.9 67 37.3 26.9 89.5 113.2 43.5 65.7 63.7 113.3 67.5 62.3 61.5 69.1 67.7 99.2 54.5 49.7 50.3 58.9 58.9 89.3 52 56.3 What is the correlation coefficient for this data set? r = (report answer accurate to at least 3 decimal places)To find the p-value for a correlation coefficient, you need to convert to a t-score:t=r⋅√n−21−r2t=r⋅n-21-r2This t-score is from a t-distribution with n−2n-2 degrees of freedom.What is the p-value for this correlation coefficient? p-value = (report answer accurate to at least 4 decimal places)Your final conclusion is that... There is insufficient sample evidence to support the claim the there is a…arrow_forwardTwo separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below. Test A (x) 43 65 73 34 99 78 65 Test B (y) 39 60 62 20 85 70 54 1. Calculate r, the linear correlation coefficient. Identify the values for each part below. Part a. The value of n Part b. The sum of the x-values Part c. The sum of the y-values Part d. The sum of the x-squared values Part e. The sum of the y-squared values Part f. The sum of the (xy) values Part g. The final value of r rounded top three decimal placesarrow_forwardconfusedarrow_forward
- You wish to determine if there is a positive linear correlation between the two variables at a significance level of α=0.10α=0.10. You have the following bivariate data set. x y 55.2 38.6 60.3 49.6 28.8 4.1 57.4 42.1 67.2 62.6 29.3 0.3 46.4 40.4 26.6 -3.4 50.4 36.9 45 32 43.6 32.2 20.5 -25 21.3 -18.9 14.6 -22.1 56.8 39.8 58.3 50.4 60.1 47.8 39.6 7.8 52.9 29.7 56.7 67.3 17.9 -18.4 56.2 47.9 80.1 94 49.6 46.4 52.8 38.4 47.2 33.7 59.9 63.7 35.4 27.1 What is the correlation coefficient for this data set? r = (report answer accurate to at least 3 decimal places)To find the p-value for a correlation coefficient, you need to convert to a t-score:t=r⋅√n−21−r2t=r⋅n-21-r2This t-score is from a t-distribution with n−2n-2 degrees of freedom.What is the p-value for this correlation coefficient? p-value = (report answer accurate to at least 4 decimal places)Your final conclusion is that... There is insufficient sample…arrow_forwardYou wish to determine if there is a linear correlation between the two variables at a significance level of α=0.10α=0.10. You have the following bivariate data set. x y 99.3 2.7 72.6 24.4 62.2 42.2 76.5 2.8 73.9 17.5 90 11.7 52 47.2 84.2 10.6 72.7 15.1 86.1 14.7 61.1 53.5 46.5 56.2 90.7 -3.6 103.1 -10 49.2 46.8 38.5 54.6 61.8 46.5 74.2 27.9 63.7 48.7 74.8 28.2 63 29.6 59.8 40.5 80.5 13.5 80 21.3 71.4 22.8 59.6 51.6 45.1 61.9 84.4 18.2 download link provided here: What is the correlation coefficient for this data set? r = (report answer accurate to at least 3 decimal places)To find the p-value for a correlation coefficient, you need to convert to a t-score:t=r⋅√n−21−r2t=r⋅n-21-r2This t-score is from a t-distribution with n−2n-2 degrees of freedom.What is the p-value for this correlation coefficient? p-value = (report answer accurate to at least 4 decimal places)Your final conclusion is that... There is…arrow_forward
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