Linear Regression Methods — Test Answers

The data reflects the time a pot of water is heating on a stove (x), paired with the temperature of the water (y).

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?

Which graph shows a negative correlation?

The table shows the age of a painting (x) in years, and its estimated dollar value (y).Which regression equation correctly models the data?

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

The table shows data from a travel agency, representing the number of guests on a trip (x) and the estimated dollar cost of the trip (y).When using the median-fit method with summary points (3, 2,750), (6, 4,200), and (9, 5,750), what is the approximate slope of the best-fit model?

The scatterplot contains data points, pairing the age of a child (x) with the child’s weight (y).

The table shows data from a concession stand, representing weekly sales (x) in dollars and profit (y) in dollars.When using the median-fit method with summary points (1,485, 905), (1,950, 1,175), and (2,535, 1,535), what is the approximate slope of the best-fit model?

Latitude and longitude describe locations on the Earth with respect to the equator and prime meridian. The table shows the latitude and daily high temperatures on the first day of spring for different locations with the same longitude.Which statement describes the slope of the line of best fit for the data?

A scatterplot contains data showing the relationship between number of football games played and total number of rushing yards.Which graph displays the line of best fit for the data?

The table shows data from local day-care centers, representing the number of children in attendance (x) and daily food costs in dollars (y).xyx2xy1645256720 2258 484 1,2762873 7842,044 3294 1,0243,008 45141 2,025 6,345 ∑x=143 ∑y=411 ∑x2=4,573 ∑xy=13,393 Which regression equation correctly models the data?

The graph and table shows the relationship between y, the number of words Jean has typed for her essay and x, the number of minutes she has been typing on the computer.

The data reflects the number of days since a plant has been transplanted (x), paired with the plant height (y).

A set of data is collected, pairing family size with average monthly cost of groceries.

Lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands heads up. The table shows her data.According to the line of best fit, about how many times would the coin land heads up in 100 flips?

The scatterplot shows the time it takes for a new hot plate to boil various amounts of water, and one lab group’s attempt at a line of best fit.

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.

The table shows data from a party planner, representing the number of people at an event (x) and the total dollar cost to host the event (y).When using the median-fit method with summary points (75, 2,100), (140, 3,100), and (200, 4,200), what is the approximate y-intercept of the best-fit model? Round to the nearest whole number if necessary.

The scatterplot contains data points, showing the number of hours a coffee shop is open (x) and the number of customers served (y).

Raquel throws darts at a coordinate grid centered at the origin. Her goal is to create a line of darts. Her darts actually hit the coordinate grid at (–5, 0), (1, –3), (4, 5), (–8, –6), (0, 2), and (9, 6). Which equation best approximates the line of best fit of the darts?