What is the purpose of testing whether B, = 0? O The purpose of testing whether B, = 0 is to determine whether or not there is a significant relationship between x and y. O The purpose of testing whether B, = 0 is to determine whether or not the mean of the x values is equal to the mean of the y values. O The purpose of testing whether B, = 0 is to determine whether or not the regression line provides a good fit for the data. O The purpose of testing whether ß, = 0 is to determine whether or not there is a cause-and-effect relationship between x and y. If we reject B, = 0, does it imply a good fit? O Rejecting B, = 0 always implies a good fit. If B, = 0 is rejected, there is a statistically significant relationship between x and y which always implies a good fit. O Rejecting B, = 0 never implies a good fit. If ß, = 0 is rejected, there is not a statistically significant relationship between x and y which never implies a good fit. O Rejecting B, = 0 does not necessarily imply a good fit. For example, if ß, = 0 is rejected and r2 is low, there is a statistically significant relationship between x and y but the fit is not very good. O Rejecting B, = 0 does not necessarily imply a good fit. For example, if B, = 0 is rejected and r is high, there is a statistically significant relationship between and y but the fit is not very good.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
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What is the purpose of testing whether B, = 0?
O The purpose of testing whether B, = 0 is to determine whether or not there is a significant relationship between x and y.
O The purpose of testing whether B, = 0 is to determine whether or not the mean of the x values is equal to the mean of the y values.
O The purpose of testing whether B, = 0 is to determine whether or not the regression line provides a good fit for the data.
O The purpose of testing whether B, = 0 is to determine whether or not there is a cause-and-effect relationship between x and y.
If we reject B, = 0, does it imply a good fit?
O Rejecting B, = 0 always implies a good fit. If B, = 0 is rejected, there is a statistically significant relationship between x and y which always implies a good fit.
O Rejecting B, = 0 never implies a good fit. If B, = 0 is rejected, there is not a statistically significant relationship between x and y which never implies a good fit.
O Rejecting B, = 0 does not necessarily imply a good fit. For example, if ß, = 0 is rejected and r is low, there is a statistically significant relationship between x and y but the fit is not very good.
O Rejecting B, = 0 does not necessarily imply a good fit. For example, if ß, = 0 is rejected and r2 is high, there is a statistically significant relationship between x and y but the fit is not very good.
Transcribed Image Text:What is the purpose of testing whether B, = 0? O The purpose of testing whether B, = 0 is to determine whether or not there is a significant relationship between x and y. O The purpose of testing whether B, = 0 is to determine whether or not the mean of the x values is equal to the mean of the y values. O The purpose of testing whether B, = 0 is to determine whether or not the regression line provides a good fit for the data. O The purpose of testing whether B, = 0 is to determine whether or not there is a cause-and-effect relationship between x and y. If we reject B, = 0, does it imply a good fit? O Rejecting B, = 0 always implies a good fit. If B, = 0 is rejected, there is a statistically significant relationship between x and y which always implies a good fit. O Rejecting B, = 0 never implies a good fit. If B, = 0 is rejected, there is not a statistically significant relationship between x and y which never implies a good fit. O Rejecting B, = 0 does not necessarily imply a good fit. For example, if ß, = 0 is rejected and r is low, there is a statistically significant relationship between x and y but the fit is not very good. O Rejecting B, = 0 does not necessarily imply a good fit. For example, if ß, = 0 is rejected and r2 is high, there is a statistically significant relationship between x and y but the fit is not very good.
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