Here is a bivariate data set. x y 51.1 30.8 58.7 10.3 46.7 50.1 42.7 32.1 40 46.7 42.9 33 40.3 15.9 56.1 -22.9 38.9 43.7 38.9 93.2 51.3 33.5 45.1 46.4 59.8 63.6 44.9 32.5 57.5 18.7 58.9 59.9 32.7 39.9 53.4 34.1 46.7 66.3 38.4 39.9 Find the correlation coefficient and report it accurate to three decimal places. r =

Here is a bivariate data set. x y 20.9 34.2 31.4 144.9 44.3 84.7 55.4 79.8 58.9 50.8 68.7 -74.4 39.5 117.7 58.7 -117.6 71.6 -74.3 23.1 109 36.6 79.9 54.4 -33 62.2 -121 78.5 -81.9 77.8 -16.1 56.4 -103.7 This data can be downloaded as a *.csv file with this link:  Download CSVFind the correlation coefficient and report it accurate to three decimal places.r = 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 = %

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 in which you believe y to be the response variable. xx yy 38.8 62.7 37.3 60.4 32.9 65.5 48.8 58.7 37.8 62.6 40 61.2 34.8 65.1 35.2 68.5 43.3 61 -18 90.3 44.8 59.7 47.3 61.2 49.5 61.5 31.8 68.6 30.2 73 35.6 70.1 41.4 60.3 48.7 59.2 21 71.1 28 67.5 47.2 58.6 51 59.5 29.9 66.8 Make a scatter plot of this data. Which point appears to be an outlier?(Enter as an ordered pair.)

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Here is a bivariate data set in which you believe y to be the response variable. x y 11.7 99.9 35.4 30.5 65.5 -23.5 38.6 1.4 22.6 53 27.7 28.2 13 64.4 24.6 -20.1 24.8 68.9 47.1 4.5 38.8 10.7 11.3 40.6 34 54.8 29.6 -13.4 55.1 -19.7 136 -167 47.9 -27.9 Make a scatter plot of this data. Which point appears to be an outlier?(Enter as an ordered pair.)

You wish to determine if there is a positive 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 20.6 50.6 29.3 57.4 31.1 58 31.7 57.7 27.2 55.7 20.1 54.4 16.1 48.6 26.7 50.2 33.1 70 24.5 51.4 24.6 52.4 33.2 49.8 26.8 56.3 18.6 43.9 21.6 55 9 48.3 29.9 58.3 43.3 72.8 21.8 50.5 33.6 52.1 19.7 52.3 21.6 50 30.7 60.9 21.3 43.3 4.7 40.3 22.9 49.9 5 48 11.2 43.4 32.7 63.9 20.7 47.6 23.9 42.3 21.5 46.6 24.2 56.8 23.6 46.7 25.2 59.9 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…

Here is a paired data set in which you believe y to be the response variable. X -6.1 51.6 42.4 26.8 39.2 33 30.6 50.9 34.4 y 205.8 34.4 17 45 39.2 25.4 55.5 86 47.7 84.4 76.8 -8 87.3 -1.9 26.1 85.5 -22.3 41.1 47.3 62.5 75.8 31 47 47.6 21.2 46.2 45.5 46.6 35.8 30.5 24.3 -208.1 145.7 94.4 112.7 56.4 49.7 Make a scatter plot of this data. Which point is an outlier? (Enter as an ordered pair.) Find the regression equation for the data set without the outlier. Jualue

Mouse weights. Find the mean and median for the data in the following table.   Interval 41.5−43.5 43.5−45.5 45.5−47.5 47.5−49.5 49.5−51.5 51.5−53.5 53.5−55.5 55.5−57.5 57.5−59.5 Frequency 4 5 14 18 21 15 16 5 2   mean = ______. ​(Round to two decimal places if​ needed.)