question 7

The budget (in millions of dollars) and worldwide gross (in millions of dollars) for eight movies are shown below. Complete parts (a) through (c).

Budget, x	206	202	198	198	178	174	174	171
Gross, y	1280	1802	1030	659	678	433	335	256

Calculate the correlation coefficient r. (round 3 decimal places as needed)

question 8

For the following data (a) display the data in a scatter plot, (b) calculate the sample correlation coefficient r, and (c) make a conclusion about the type of correlation. Use technology.The altitudes (in thousands of feet) and speeds of sound (in feet per second) at these altitudes are shown in the data set below.

Altitude, x	Speed of sound, y
0	1115.8
5	1097.7
10	1076.6
15	1056.9
20	1037.1
25	1016.1
30	996.6
35	969.3
40	966.5
45	966.5
50	966.5

question 9

The weights (in pounds) of

6

vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use

=0.01.

Weight, x	5930	5310	6500	5100	5860	4800
Variability in braking distance, y	1.71	1.91	1.91	1.56	1.65	1.50

Setup the hypothesis for the test.

H0: ___ 0

Ha: ___ 0

question 10

The number of hours 10

students spent studying for a test and their scores on that test are shown in the table. Is there enough evidence to conclude that there is a significant linear correlation between the data? Use

=0.01.

Hours, x	0	1	2	4	4	5	5	6	7	8
Test score, y	42	43	52	56	63	67	71	74	82	92

Setup the hypothesis for the test.

H0: ___ 0

Ha: ___ 0