1. The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant linear correlation between ticket price and number of attendees. Use a significance level of 0.05 and round all values to 4 decimal places.

Ticket Price	Attendence
6	126
10	134
14	194
18	108
22	175
26	111
30	118
34	168

Ho: = 0 Ha: 0

Find the Linear Correlation Coefficient r = ____

Find the p-value p-value = ______

The p-value is

• ___Greater than
• ____Less than (or equal to)

The p-value leads to a decision to

• Reject Ho
• Accept Ho
• Do Not Reject Ho

The conclusion is

• There is a significant positive linear correlation between ticket price and attendance.
• There is a significant negative linear correlation between ticket price and attendance.
• There is a significant linear correlation between ticket price and attendance.
• There is insufficient evidence to make a conclusion about the linear correlation between ticket price and attendance.

2. The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.

xx	11.6	8.4	7	3.5	2.6	2.6	2.6	0.4
yy	14.2	11.5	10.2	7.1	6.2	6	6.3	4.5

xx = thousands of automatic weapons yy = murders per 100,000 residents This data can be modeled by the equation y=0.89x+3.97.y=0.89x+3.97. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. A) How many murders per 100,000 residents can be expected in a state with 3.9 thousand automatic weapons? Answer = _____Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 9 thousand automatic weapons? Answer = _______ Round to 3 decimal places.

3. The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995.

Year	Retail Sales
0	85.851
3	108.426
6	141.781
9	169.256
12	202.297
15	222.266

Let S(t)S(t) be the retails sales in billions of dollars in t years since 1995. A linear model for the data is F(t)=9.44t+84.182F(t)=9.44t+84.182. 36912158090100110120130140150160170180190200210220 Use the above scatter plot to decide whether the linear model fits the data well.

• The function is a good model for the data.
• The function is not a good model for the data

Estimate the retails sales in the U. S. in 2011. ______billions of dollars. Use the model to predict the year that corresponds to retails sales of $245 billion. _______