A student in an AP Statistics class decided to conduct a study to determine whether you could predict the number of followers a teen has on Instagram based on the number of people he or she is following. To do this, she randomly selected fifty students from her high school that had Instagram accounts and for each student recorded the number of people they were following and the number of followers they had. A scatterplot of the data is shown. 1700 - 1600 - 1500 - O 1400- 1300 1200 1100 OO 1000 - Followers 900 - 800 700 600 500 go 400 - o 8 300- 200 - 0 500 1000 1500 Following The regression line is followers = - 45.3 + 1.21 (following). Based on the standardized statistic (which is greater than 9), is there strong evidence of an association between the number of followers and the number of people following an Instagram account? Yes, since the correlation is positive. Yes, since the regression slope is positive. Yes, since the standardized statistic is greater than 3. No, since the mean of the null distribution is zero.It is commonly expected that as a person ages, their muscle mass decreases. To further examine this relationship in women, a nutritionist randomly selected 60 female patients from her clinic, 15 women from each 10-year age group beginning with age 40 and ending with age 80. For each patient, her age and current muscle mass was recorded. A scatterplot, least squares regression line, and coefficient of determination are as follows. 110 120 90 100 Muscle Mass (Ibs) 8 60 8 40 50 60 70 Age (years) y = 156.347 - 1.19x R2 = 75.01% The p-value for these data was less than 0.0001. Write a conclusion of the test in the context of the study. We have strong evidence that age is negatively correlated with muscle mass. We have strong evidence that an increase in age causes a decrease in muscle mass. We do not have strong evidence that age is negatively correlated with muscle mass. We do not have strong evidence that an increase in age causes a decrease in muscle mass.Suppose you roll a six-sided die once. Define events A = roll an even number B = roll a two C = roll an odd number D = roll a number greater than three Find P(A u B). Give exact answer in fraction form.There are ten Academic Senate faculty in the Statistics Department at the University of California, Irvine: three females and seven males. Two faculty are to be selected without replacement to serve on a committee where one of those selected will serve as the head of the committee. A simulation of this random process was run 1,000 times, and the number of females selected for the committee was recorded on each simulation. A bar plot of the results follows. 500 - 400 - 300 - Frequency 200 - 100 - N - Number of females selected Use the bar plot to estimate the probability that zero females are selected for the committee