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GRE
GRE Quantitative Reasoning Section

Correlation Between Study Hours and Test Scores

Very Hard Data Analysis Interpretation Of Data

A research study is conducted to analyze the relationship between hours spent studying and scores achieved on a standardized test. A sample of 50 students was surveyed. The data collected is summarized in the table below:

Hours StudiedTest Score
160
265
370
480
585
690
795

Using this data set, a linear regression model was created, resulting in the equation of the line:

$$y = 5x + 55$$

where $y$ represents the test score and $x$ represents the hours studied. Based on this equation, respectively, which of the following statements regarding the correlation between hours studied and test scores is true?

Hint

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