Question

a researcher investigated the effects of elevation on slugging percentage in minor league baseball. data were compiled on players composite slugging percentage at each of 20 cities for one season, as well as each citys elevation (feet above sea level). the data is shown in the accompanying table. construct a scatterplot of the data for all 20 cities. do you detect a trend? click the icon to view the table of slugging percentage and city elevation. construct a scatterplot of the data for all 20 cities. choose the correct answer below. a. b. c. d. (with scatterplot options as described)

Explanation:

Step1: Analyze the x - axis range

The elevation (x - axis) for 20 cities should have a range that includes up to 5400 feet (since the problem mentions 20 cities with elevation in feet above sea level, and option D has a maximum x - axis of 1500, which is too small). So we can eliminate option D.

Step2: Analyze the trend

We expect a positive trend (as elevation increases, slugging percentage may increase due to thinner air in higher elevations, which is better for hitting). Option B shows a negative trend, option A shows no clear trend, and option C shows a positive trend with points increasing as elevation (x - axis) increases. Also, the spread of points in option C is consistent with the idea of 20 cities with elevation up to 5400 and slugging percentage around 0.45 to 0.65.

Answer:

C. (The scatterplot with a positive trend, x - axis from 0 to 5400, y - axis from 0.45 to 0.65, and points showing an upward trend as elevation increases)