Question

listed below are annual data for various years. the data are the numbers of cars sold (thousands) and the numbers of points scored in the super bowl. construct a scatterplot, find the value of the linear correlation coefficient r, and find the p - value using α = 0.05. is there sufficient evidence to conclude that there is a linear correlation between those two variables? would it be reasonable to expect a correlation?

car sales	8173	8214	8515	8995	8635	8535	8273	8145
super bowl points	60	70	44	76	43	55	54	53

c. $h_0: \
ho = 0$; $h_1: \
ho \
eq 0$ d. $h_0: \
ho = 0$; $h_1: \
ho > 0$
construct a scatterplot. choose the correct graph below.
a. b. c. d. (with scatterplot graphs for each option)

Explanation:

Step1: Analyze Data Ranges

Car sales range from ~8145 to 8995 (thousands), Super Bowl points from 43 to 76. Check scatterplot axes: x (car sales) 8000 - 9000, y (points) 0 - 100.

Step2: Match Data Points

Plot each (car sales, points): (8173,60), (8214,70), (8515,44), (8995,76), (8635,43), (8535,55), (8273,54), (8145,53). Check which graph has these points. Option C's points align with the data (e.g., 8995,76 is a high x, high y; 8635,43 is mid x, low y, etc.).

Answer:

C (the scatterplot labeled C)