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 evidence to support the claim the there is a positive correlation between the two variables. There is sufficient sample evidence to support the claim that there is a statistically significant positive correlation between the two variables.

Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α=0.05.   Internet Users 80.6 78.2 57.3 67.0 77.6 39.1   Award Winners 5.5 8.6 3.4 1.7 11.1 0.1         Question content area bottom Part 1 Construct a scatterplot. Choose the correct graph below.     A.       3090012Internet UsersAward Winners         A scatterplot has a horizontal axis labeled Internet Users from 30 to 90 in increments of 5 and a vertical axis labeled Award Winners from 0 to 12 in increments of 1. Six plotted points loosely follow the pattern of a cuve that falls from left to right passing through the points…

Suppose you will perform a test to determine whether there is sufficient evidence

In a sample of n=20 what would be the student's  t test statistic for a correlation of r=0.400?