Jacob wants to see if there is a relationship between the speed of a male runner and his age. He collected the age and race time from 27 male runners in a local 200 meter race. His data is depicted in the scatterplot below.Which of the following interpretations does this scatterplot best support?Group of answer choicesThe decreasing exponential trendline is the best choice for this data because older men's running times are exponentially shorter than younger men's times.There is no relationship between men's ages and their running times in the 200 meter race.A linear trendline with a negative slope is the best choice for this data because older men's running times are shorter than younger men's times.The quadratic trendline is the best choice for this data because from Jacob's scatterplot it looks like men around 40 have the slowest running time (the vertex). Men both younger and older than 40 are faster than 40 year olds.A linear trendline with a positive slope is the best choice for this data because older men's running times are longer than younger men's times.

Jacob is a marathon runner. He wants to know if a relationship exists between male runners’ ages and their marathon times. He used data from the New York City Marathon to create the scatterplot below.Select the trend line and reasoning that would best show the relationship between marathon runners' ages and race times.Group of answer choicesAn exponential trendline is best because older men tend to have much slower running times.An exponential trendline is best because men between 25 and 30 are the fastest. Race times increase for men who are both older and younger than 25–30.A quadratic trendline is best because older men tend to have much slower running times.A quadratic trendline is best because men between 25 and 30 are the fastest. Race times increase for men who are both older and younger than 25–30.A linear trendline is best because it is the simplest model of the relationship between running times and age.

The data in the scatterplot below are an individual's weight and the time it takes (in seconds) on a treadmill to raise his or her pulse rate to 140 beats per minute. The o's correspond to females and the +'s to males. Which of the following conclusions is most accurate? There is a negative correlation between time and weight for males and for females. There is a positive correlation between gender and weight. There is a positive correlation between time and weight for males and for females. There is a negative correlation between gender and weight.

Which regression line properly describes the data relationship in the scatterplot? On a graph, a trend line has a positive slope. There are 4 points above the line, and 2 points below. On a graph, a trend line has a positive slope. There is 1 point above the line, and 5 points below. On a graph, a trend line has a positive slope. There are 3 points above the line, and 3 points below. On a graph, a trend line has a positive slope. There are 5 points above the line, and 1 point below.

Leah manages an ice cream store. She wants to see if there is a relationship between the number of ounces of ice cream for each size and  the number of ice creams sold. For one month Leah counted the number of each size of ice cream sold and put her data in the chart below.Size of Ice Cream Ounces of Ice Cream Number Sold in One MonthKid's Size 2 11Small 4 29Medium 6 52Large 8 45Super Size 12 12 Leah created the scatterplot below.Which of the following interpretations does this scatterplot best support?Group of answer choicesThe negative quadratic trendline is the best choice for this data because it looks like the medium size was the most frequently purchased (the vertex) and both the kid's size and the super size were purchased less frequently.The positive quadratic trendline is the best choice for this data because it looks like the medium size was the most frequently purchased (the vertex) and both the kid's size and the super size were purchased less frequently.The decreasing exponential trendline is the best choice for this data because purchases decreased exponentially as the ounces increasedThere is no relationship between the ounces of ice cream and the number sold.A linear trendline with a positive slope is the best choice for this data because it is the simplest model and because customers purchased more ice creams as the number of ounces increased.

The data in the scatterplot below are an individual's age (in years) and the expected life span (in years). The circles correspond to females and the x's to males. Which of the following conclusions is most accurate? There is a positive correlation between gender and life expectancy. There is a negative correlation between gender and life expectancy. There is a positive correlation between age and life expectancy for both males and females. There is a negative correlation between age and life expectancy for both males and females.