A sample of 15, 10 years -old children was taken to study whether watching television reduces the amount of physical exercise, causing weight gains. The number of kilograms each child was overweight by was recorded (a negative number indicates the child is underweight). In addition, the number of hours of television viewing per week was also recorded. These data are listed in the table below. Television (hours) 42 34 25 35 37 38 31 33 19 29 38 28 29 36 18 Overweight 8 3 0 0 6 6 3 3 -4 4 4 2 1 6 -3 a. Use an appropriate plot to investigate the relationship between Television(hours) and Overweight (KG). Briefly explain the selection of each variable on the X and Y axes and why?  b. Calculate and interpret the coefficient of correlation (r) between Television (hours) and Overweight (KG). (answer should be supported by excel output. Hence you are required to provide the excel output as the supplementary file(s) in Appendix section.

Given below are the ages of motorcyclists at the time they were fatally injured in traffic accidents (based on data from the U.S. Department of Transportation).          18   38   23   14   18   34   16  42   28           24   40   20   23   34   37   21  32   25           17   28   33   25   23   19   51  18   29 Looking at the histogram for the data, what is the height (frequency) of the 4th bar on the histogram? Given below are the ages of motorcyclists at the time they were fatally injured in traffic accidents (based on data from the U.S. Department of Transportation).          18   38   23   14   18   34   16  42   28           24   40   20   23   34   37   21  32   25           17   28   33   25   23   19   51  18   29 Looking at the histogram for the data, what is the height (frequency) of the 4th bar on the histogram? 4 7 5 6 8

Listed below are pulse rates (beats per minute) from samples of adult males and females. Find the mean and median for each of the two samples and then compare the two sets of results. Does there appear to be a difference? Male: 95 77 64 88 62 72 53 82 56 79 53 53 54 76 55 Female: 65 63 87 89 84 76 87 68 93 88 69 93 82 87 70 Find the means. The mean for males is beats per minute and the mean for females is beats per minute. (Type integers or decimals rounded to one decimal place as needed.) Find the medians. The median for males is beats per minute and the median for females is beats per minute. (Type integers or decimals rounded to one decimal place as needed.) Compare the results. Choose the correct answer below. O A. The mean and the median for males are both lower than the mean and the median for females. O B. The mean and the median for females are both lower than the mean and the median for males. O C. The mean and median appear to be roughly the same for both genders. O D. The…

Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is summarized in the histogram below. Frequency 10 8 6 4 2 100 101 102 103 104 105 106 10 amount of sugar (mg) What is the frequency of 102 mg of sugar? snacks

On occasion, medical studies need to model the proportion of the population that has a disease and compare that to observed frequencies of the disease actually occurring. Suppose the end-stage renal failure in south-west Wales was collected for different age groups. Do the data in the table show that the observed frequencies are in agreement with proportion of people in each age group? Test at the 1% level. Renal Failure Frequencies Age group 16-29 30-44 45-59 60-74 75+ Total Observed Frequencies 125 152 134 124 48 583 Expected Proportion 0.23 0.25 0.22 0.21 0.09   State the hypotheses.H0: The observed frequencies     in agreement with proportion of people in each age group.Ha: The observed frequencies     in agreement with proportion of people in each age group. Calculate the χ2 test statistic. Round expected values to two decimal places. Round χ2 to 3 decimal places.χ2 =  Calculate the p-value. Round to 3 decimal places.p-value =  State your decision.Since p-value     α,…

A statistics class has 136 students. The professor records how much money (in dollars) each student carries in his or her pocket during the first class. The histogram shows the data that were collected. Frequency 60 50 40 30 20 10 0 0 10 20 30 40 50 60 70 80 90 100 110 The percentage of students having less than $10 in their pockets is closest to 30% 35% 70% 60% 50%

Biologists caught and measured 215 fish from the northern Atlantic Ocean. The lengths of the fish (in cm) are summarized in the histogram. 40 35 30 25 20 15 10 5 15 30 45 60 75 90 105 120 length of fish (cm) About what percentage of fish caught in this study had lengths between 45 cm and 75 cm? % Frequency

Listed below are pulse rates (beats per minute) from samples of adult males and females. Find the mean and median for each of the two samples and then compare the two sets of results. Does there appear to be a difference? Male: 90 53 58 83 62 54 59 70 61 73 57 67 53 96 69 Female: 91 85 93 85 81 88 88 87 94 72 67 86 80 79 77 Find the means. The mean for males is beats per minute and the mean for females is beats per minute. (Type integers or decimals rounded to one decimal place as needed.)

The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the average number of passing yards per attempt (Yards/Attempt) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season.† Team Yards/Attempt WinPct Arizona Cardinals 6.5 50 Atlanta Falcons 7.1 63 Carolina Panthers 7.4 38 Chicago Bears 6.4 50 Dallas Cowboys 7.4 50 New England Patriots 8.3 81 Philadelphia Eagles 7.4 50 Seattle Seahawks 6.1 44 St. Louis Rams 5.2 13 Tampa Bay Buccaneers 6.2 25 (a) Develop a scatter diagram with the number of passing yards per attempt on the horizontal axis and the percentage of games won on the vertical axis. A scatter diagram has 9 points plotted on it. The horizontal axis ranges from 5 to 9 and is labeled: Yards/Attempt. The vertical axis ranges from 0 to 90 and is labeled: Win %.…

Studies suggest that women who smoke during pregnancy affect the birth weights of their newborn infants. To study this issue further, a sample of 10 women smokers were asked to estimate the average number of cigarettes they smoke per day. In the following table are their estimates and the birth weight (in kgs) of their child. Average Number of Cigarettes per day Birth Weight of Child (in kilograms) 22 2.91 16 3.27 4 3.68 19 3.14 42 2.32 8 3.82 12 3.45 30 2.95 14 3.00 16 3.68 (b) Use R-Studio to find the least squares estimate of the linear model that expresses the birth weight of a child as a linear function of the average number of cigarettes mom consumes in a day. Use four decimals in each of your answers.Y^i = ? + - Xi(e) A expecting mother, who smokes, claims to smoke an average of 20 cigarettes in a day. Predict the weight of her newborn. Use two decimals in your answer.kilograms(f) The weight of the child born to the expecting mother mentioned in (e) was…