Consider the following table which presents a simplified example of stock prices observed at five different time points for Pfizer (pharmaceutical company) and Moderna (a biotechnology company). If the stocks are affected by the same industry trends, will their prices rise or fall together? Calculate the sample covariance to answer this question. Timepoint  Pfizer Moderna t1 36 128 t2 34 97 t3 33 78 t4 32 64 t5 30 32

Suppose researchers at an abdominal transplant clinic are concerned about the rate of graft loss due to diabetes status prior to receiving a donor kidney. Research has shown that gender discordance, or receiving a gender from a donor of an opposite gender may increase the risk of both exposure and outcome after transplant. Assume the following tables represent the stratified analysis of the potential confounding variable. (9 points)   Gender Discordance Graft Failure No Graft Failure Total Diabetes II 23 10 33 No Diabetes II 4 44 48 Total 27 54 81 Gender Concordance Graft Failure No Graft Failure Total Diabetes II 9 34 43 No Diabetes II 12 87 99 Total 21 121 142   A)  Calculate the stratum specific estimates for the odds ratios in each strata. B)  Observe the difference in the odds ratios. Based on observation alone, what are we likely to conclude regarding the relationship between outcome and exposure…

Investigation 3.2: Valence Differences Between R&B and Rap Genres (Paired)A music fan claims that R&B songs tend to have a more positive tone on average than do Rapsongs. The individual collected two independent random samples from the population of SpotifySongs. Fifteen R&B songs and another fifteen Rap songs were collected and their Valence wasrecorded. The music fan believed that pairing the song by their Danceability may provideadditional information. Danceability describes how suitable a track is for dancing based on acombination of musical elements including tempo, rhythm stability, beat strength, and overallregularity. A value of 0.0 is least danceable and 1 is most danceable. Thus, the individual pairedthe R&B song with the lowest danceability with the Rap song with the lowest danceability,followed by the second and second, third and third. She continued this process until the R&Bsong with the highest danceability was paired with the Rap song with the…

rent funding: The following table presents the budget (in millions of dollars) for selected organizations that received U.S. government funding for arts and culture in both 2004 and 2006. Use a TI-84 calculator to answer the following. Organization 2004 2006 National Endowment for Arts 121 124 National Gallery of Art 88 95 Kennedy Center for the Performing Arts 17 18 Commission of Fine Arts Advisory Council on Historic Preservation What is the correlation coefficient r? What is the least-squares regression line? Round the final answers to four decimal places