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. is there a trend? a. there is no significant trend in the data. b. there is a significant positive trend in the data. c. there is a significant negative trend in the data.

Explanation:

Step1: Analyze Scatterplot Trend

To determine the trend, we examine the scatterplot (or the pattern of data points). A positive trend means as elevation (x - axis) increases, slugging percentage (y - axis) increases. A negative trend means as elevation increases, slugging percentage decreases. If points are random, no trend. From the context (and typical baseball elevation - slugging relationship, as elevation increases (thinner air), ball travels farther, so slugging percentage should increase), the correct scatterplot (third one, likely) shows a positive trend: as elevation (ft) increases, slugging percentage (Slug Pct) increases. So the data has a significant positive trend.

Step2: Evaluate Options

• Option A: Incorrect, as there is a trend.
• Option B: Correct, since the trend is positive (elevation up, slugging pct up).
• Option C: Incorrect, as it's positive, not negative.

Answer:

B. There is a significant positive trend in the data.