The table below lists weights (carats) and prices (dollars) of randomly selected diamonds. All of the diamonds are round with ratings of €œvery good€ cut, they all have a color rating of F (€œslight color€), and a clarity rating of VS I (€œvery 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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Weight 0.3 0.4 0.5 0.5 1.0 0.7 Price 510 1151 1343 1410 5669 2277