Ben has a theory that the older the movie, the fewer people know about it.He takes a random sample of five movies and notes how many years-old they are and the percentage of movie watching people who are familiar with them.The dependent variable (age of movie) has a mean of 45 years with a variance of 950 years.The independent variable (percentage of familiarity) has a mean of 55 with a variance of 475.The covariance between the variables is -287.5, the correlation between the variables is -0.428, and the standard error of the estimate is 22.745.(Please note:the association is negative and I gave you the variances, not the standard deviations.)The regression equation is:

Familiarity = 68.6 - 0.3(Age)

Please do a hypothesis test on the slope of the line (not on the correlation coefficient).Make it a two-tailed test with alpha = 0.05.Calculate the test statistic, state the critical value, and come to a conclusion concerning the relationship between the variables.