The table below lists weights (carats) and prices (dollars) of randomly selected diamonds. All of the diamonds are round with ratings of “very good” cut, they all have a color rating of F (“slight color”), and a clarity rating of VS I (“very slightly included”). The values are based on data from the retailer Blue Nile. For diamonds of the type described, is there sufficient evidence to conclude that there is a linear correlation between weights and prices? Do the results also apply to other types of diamonds, such as those with different color and clarity ratings?
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