We examined the relationship between Rotten Tomatoes ratings and Metascore ratings for a sample of 75 popular movies. The scatte
rplot showed a linear form with strong positive association. Here is are the StatCrunch linear regression results. The r-sq value is about 0.75. What does this tell us? Simple linear regression results: Dependent Variable: Metascore Independent Variable: Rotten Tomatoes Metascore 21.605526+0.62434658 Rotten Tomatoes Sample size: 72 R (correlation coefficient) 0.86590 102 R-sq 0.74978458 Estimate of error standard deviation: 7.7978789a. 75 % of the Metascore ratings are accurately predicted by the regression line. b. Rotten Tomato ratings explain about 75 % of the variation in Metascore ratings.c. For each one point increase in Rotten Tomato ratings, we predict a 0.75 point increase in Metascore ratings.
Therefore Rotten Tomato ratings explain about 75% of the variation in Metascore ratings is the correct answer here.
Step-by-step explanation:
The R2 value for regression or the coefficient of determination represents the proportion of variation in dependent variable that is explained by regression ( the rest of it is residual variation )
