Christopher has collected data about women's heights and their shoe sizes. He noticed that taller women tend to have larger shoe sizes and shorter women tend to have smaller shoe sizes. Christopher would like to use a trendline to predict the shoe size for a woman that is 70 inches tall.Which type of trendline would be the best choice to model the relationship between women's heights and their shoe sizes?Group of answer choicesA quadratic trendline.An exponential trendline.There is no relationship between women's heights and their shoe sizes.A linear trendline.All of these trendlines would predict the exact same shoe size for a woman that is 70 inches tall.

Beatrice is interested in raising chickens.  She finds data on chickens that lists the following about the population growth:Year 1: 4 chickensYear 2: 12 chickensYear 3: 36 chickensYear 4: 108 chickensShe notices the chicken population triples every year.  Which type of trendline would be the best choice to model the relationship between the years that go by and the numbers of chickens in the population for these 4 years?Group of answer choicesA quadratic trendline.A linear trendline.An exponential trendline.There is no relationship between the years and the chicken population.All of these trendlines would predict the exact same value of the chicken population.

Maleko is mayor of a growing town with many job opportunities. He has observed a growing rise in his town's population over the past two years. Each month there are 10% more people. Maleko would like to predict the population of the town in 10 months from now.Which type of trendline would be the best choice to model the relationship between months and population?Group of answer choicesLinearExponentialThere will not be a predictable relationship between the two variables.Quadratic

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.

A research article examining a possible relationship between the dimensions (length ratio) of people’s faces and their corresponding attractiveness provided the graph below and the trend line equation, 𝑇𝐴=−51𝐿2+37𝐿−6, where  𝑇𝐴  is Thurstonian attractiveness and L is the length ratio of the person’s face.What type of trendline did these researchers use in the graph shown above?Group of answer choicesA linear function where the input is 𝐿 and the output is 𝐴 .An exponential function where the input is 𝐿  and the output is 𝑇𝐴 A quadratic function where the input is 𝐿  and the output is 𝑇𝐴.An exponential function where the input is 𝐴  and the output is 𝑇.A quadratic function where the input is 𝐴  and the output is 𝑇 .

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit. x = 24,22,19,23,20,24,28,25,17,24,26,22 y = 159, 148, 126,157,138, 162, 180,161, 122, 155, 173, 146 a. y = 25.05 + 5.57x b. y = -5.57 + 25.05x c. y = 5.57 + 25.05x d. y = 5.57 - 25.05x