Regression Models — Unit test Answers

The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of miles traveled in one day.

Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph.

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.

Which graph shows data whose r-value is most likely closest to 1?

Which phrases describe the relationship between heart rate and daily intake of caffeine? Select two options.

The table shows the number of flowers in four bouquets and the total cost of each bouquet.

If a flowering tree is cared for properly, the number of blossoms produced on the tree will exponentially increase until the tree reaches maturity. Which graph could show y, the number of blossoms expected on a flowering tree, for each year after the young tree is planted, x?

Which graph shows a negative correlation?

Ms. Sutton recorded the word counts and scores of the top ten essays in a timed writing contest. The table shows her data.How does the word count of an essay relate to its score in the contest?

A 2-column table with 4 rows. The first column is labeled x with entries 0, 1, 4, 5. The second column is labeled y with entries 0, 1, 4, 5.

Georgianna wants to use the linear model associated with the data in the table to make a prediction.

Scientists studied a deer population for 10 years. They generated the function f(x) = 248(1.15)x to approximate the number of deer in the population x years after beginning the study. About how many deer are in the population 3 years after beginning the study?

The table shows the number of calories in four meals and the cost of each meal.

The team mascot shoots a rolled T-shirt from a special T-shirt cannon to a section of people in the stands at a basketball game. The T-shirt starts at a height of 8 feet when it leaves the cannon and 1 second later reaches a maximum height of 24 feet before coming back down to a lucky winner.

Daniel is on an airplane flying to a destination 825 miles away. After one hour, the pilot announces that the plane is 495 miles away from its destination airport. In another hour, the pilot announces that the plane will begin its half-hour descent for the final 165 miles.

The table shows the population of a small town over time. The function P = 10,550(1.1)x models the population x years after the year 2000.

Teddy is preparing to sell some wooden blocks at a garage sale. Before pricing individual bags of blocks, he decides to determine the approximate number of blocks per pound by researching the weights of different sets of blocks. The graph shows his data.

A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table.

Which r-value represents the strongest correlation?

Which relationships would most likely be causal? Select two options.