Run a regression analysis on the following bivariate set of data with y as the response variable. X y 23.8 68.9 20.6 50 32.6 69.3 21.4 67.5 21.9 56.6 17.7 54.4 28.5 76.7 25.9 64.5 18.3 52.5 16.8 42.2 29.9 76 Verify that the correlation is significant at an a = 0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you alue of 56 on the response variable

The readout of the correlation is r = 0.8162 with a p-value of 0.0022. What does the scatterplot reveal that is missed from the correlation results?

You 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 =

You 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.

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…

Here is a bivariate data set. x y 51.3 19.3 11.7 115.1 43.8 41.8 -2.9 173.8 27.7 109.3 50.9 63.7 40.6 76.9 40.1 46.2 41.6 63.2 26.4 43.5 32.3 66.8 51.6 14.9 36.9 42.9 Find the correlation coefficient and report it accurate to three decimal places.r = Incorrect (NOT 0.110)What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.R² = Incorrect% (NOT 1.21%)

R =?

You 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…