Scatterplots Answers

The scatterplot shows the number of guests who visited a hotel pool and the temperature on those days. Estimate the location of the line of best fit. About how many guests will visit the pool when the temperature is 85°F?

Which scatterplot has a correlation coefficient closest to r = 1?

A scatterplot is used to display data where x is the amount of time, in minutes, one member can tolerate the heat in a sauna, and y is the temperature, in degrees Fahrenheit, of the sauna. Which interpretation describes a line of best fit of y = –1.5x + 173 for the data?

A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it takes to run that distance. Which interpretation describes a line of best fit of y = 9.5x for the data in the scatterplot?

For several years, Graham has gathered data on students who own a computer and on their performance on a typing-speed test. He creates the linear model y = 3.8x + 17.4 where y represents the typing speed, in words per minute, of a student and x represents the number of years the student has owned a computer. According to Graham’s model, what is the approximate speed of a student who has owned a computer for three years?

For which data set is a linear regression most reasonable?

The table below shows the lengths and weights of six dolphins at an aquarium. Use the data from Pax and Snowflake to create a linear model that predicts the weight (y) of a dolphin given its length (x). Which dolphin’s weight differs most from the value predicted by this model?NameLength (ft)Weight (lb)Snowflake8.2549Shadow7.4501Corky8.4557Pax7.6519JoJo5.8460Blaze6.8488

The school’s guidance department compares the grade-point averages and standardized state test scores for 10 students in each grade. The table below shows the correlation coefficient for each data set.Grade LevelCorrelation Coefficient9th grade0.310th grade–0.111th grade0.212th grade–0.8For which data set(s) is a linear regression model reasonable?

Poloma believes that the equation of the line of best fit for the following scatterplot is . Which statement best summarizes why she must be wrong?

The scatterplot shows the number of athletes on the field hockey and tennis teams at Southern High School during seven different years. Which statement is best supported by the line of best fit?