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The table below lists weights (carats) and prices (dollars) of randomly selected diamonds. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with a diamond that weighs 0.8 carats. Weight 0.3 0.4 0.5 0.5 1.0 0.7 Price $523 $1 157 $1347 $1421 $5662 $2261 a. Find the explained variation. (Round to the nearest whole number as needed.) b. Find the unexplained variation. (Round to the nearest whole number as needed.) c. Find the indicated prediction interval.