Question

1) Do you think there is a linear correlation between Movie Ratings and their Runtimes?

Movie Ratings

8.7
8.9
7.6
7.2
7.2
8.1
8.8
6.8
8.7
9.0
8.5
7.9
8.7
9.1
9.0
7.2
8.4
7.5
7.7
9.0
9.3
8.7
6.9
9.2
8.4
9.2
9.0
9.1
8.9
8.2
9.4
8.3
8.1
7.9
9.1
8.7
8.6
7.8
8.4
7.8

Movie runtimes

201
124
136
155
131
161
110
132
116
136
91
127
96
126
129
135
124
116
170
121
175
118
189
117
136
108
195
89
88
122
119
116
126
115
153
143
118
129
144
132

1) Do you think there is a linear correlation between Movie Ratings and their Runtimes? Explain why or why not before doing any work!

2) Is there a linear correlation between the data based on the correlation coefficient? Explain.

3) Find the linear regression line and explain what it means in English.

4) Perform a hypothesis test at the 5% level of significance to see if a correlation is significant.

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