8. Fitness Trackers You can monitor every step you take, your speed, your pace, or some other aspect of your daily activity. The data that follows lists the overall rating scores for 14 fitness trackers and their prices.13

a. Use a scatterplot of the data to check for a relationship between the rating scores and prices for the fitness trackers.

b. Calculate the sample coefficient of correlation r and interpret its value.

c. By what percentage was the sum of squares of deviations reduced by using the least-squares predictor yˆ5a1bx rather than y as a predictor of y?

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Fitness Trackers Fitbit Surge Score Price ($) TomTom Spark 3 Garmin Forerunner 38 888 87 250 85 250 200 TomTom Spark 84 200 Fitbit Charge 2 83 150 Garmin Vivosmart HR 83 120 Fitbit Blaze 82 200 Huawei Fit 82 130 Garmin Vivosmart HR+ 79 180 Withings Steel HR 79 145 Fitbit Alta Garmin Vivoactive HR Samsung Gear Fit 2 Under Armour Band 2771 78 130 250 76 180 74 80