1. (a) A television executive selects 10 television shows and compares the average number of viewers the show had last year with the average number of viewers this year. The data (in millions) are shown. Viewers last year (X) 26.6 17.85 20.3 16.8 20.8 16.7| 19.1 18.9 | 16.0 15.8 Viewers this year (Y) 28.9 19.2 26.4 13.7 20.2 18.8 25.0 21.0 16.8 15.3 i. Describe the relationship by means of a suitable graphical representation. Is it linear or non- linear? ii. How strong the relationship is? iii. Obtain an equation to estimate the viewers this year for a TV show which had 20.2 million viewers last year.

Determine whether the following statement is true. The median of a data set will increase by a factor of 10 if the largest value increased by a factor of 100.

The Student Union President conducted a survey to estimate the proportion of first year students who participated in the social activities organized by the Student Union. Which of the following surveying options does NOT affect the president’s ability to generalize the survey to all first year students. The president put the survey on the Student Union webpage a Monday and collected the responses at the end of the week.   All of the other options present a problem for generalizing the results.       The president polled all students coming out of the Student Union on a given Monday.   The freshmen class consists of 3000 students. A random sample of only 300 were sent a survey. Only 150 responded.   The survey was sent only to first year students enrolled in statistics courses because all students need to satisfy a statistics general education requirement.

a. Find the​ mean, median, and range for each of the two data sets. Find the​ mean, median, and range for faculty parking.   mean=nothing median=nothing range=nothing                       ​Faculty:         3    4    2    1    2    3    5    4     4      3      2   ​Student:         9    10    12     6       11   14    5    8     10     14     13