Linear Regression Methods — Quiz Answers

The table shows the size of outdoor decks x in square feet, and the estimated dollar cost to construct them y x y x squared x y 100 600 10 comma 000 60 comma 000 144 850 20 comma 736 122 comma 400 225 1 comma 300 50 comma 625 292 comma 500 324 1 comma 900 104 comma 976 615 comma 600 400 2 comma 300 160 comma 000 920 comma 000 the sum from to of x is equal to 1 comma 193 the sum from to of y is equal to 6 comma 950 the sum from to of x squared is equal to 346 comma 337 the sum from to of x is equal to 2 comma 010 comma 500 Which regression equation correctly models 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 x y x squared x y 16 45 256 720 22 58 484 1 comma 276 28 73 784 2 comma 044 32 94 1 comma 024 3 comma 008 45 141 2 comma 025 6 comma 345 the sum from to of x is equal to 143 the sum from to of y is equal to 411 the sum from to of x squared is equal to 4 comma 573 the sum from to of x is equal to 13 comma 393 Which regression equation correctly models 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 a party planner, representing the number of people at an event x and the total dollar cost to host the event y x 50 75 100 125 140 150 175 200 220 y 1 comma 550 2 comma 100 2 comma 425 2 comma 900 3 comma 100 3 comma 500 3 comma 800 4 comma 200 4 comma 400 When using the median-fit method with summary points open paren 75 comma 2 comma 100 close paren , open paren 140 comma 3 comma 100 close paren , and open paren 200 comma 4 comma 200 close paren , what is the approximate y -intercept of the best-fit model? Round to the nearest whole number if necessary.

The table shows data from local cable companies, representing the number of channels offered x and monthly dollar cost of service y x y x squared x y 115 65 13 comma 225 7 comma 475 122 72 14 comma 884 8 comma 784 128 85 16 comma 384 10 comma 880 132 87 17 comma 424 11 comma 484 135 95 18 comma 225 12 comma 825 the sum from to of x is equal to 632 the sum from to of y is equal to 404 the sum from to of x squared is equal to 80 comma 142 the sum from to of x is equal to 51 comma 448 Which regression equation correctly models the data?

A scatterplot includes data showing the relationship between the value of a painting and the age of the painting. Which graph displays the line of best fit for the data?

Which is a correct step when using the median-fit method for modeling data?

The table shows data from a concession stand, representing weekly sales x in dollars and profit y in dollars. x 1 comma 250 1 comma 485 1 comma 535 1 comma 880 1 comma 950 2 comma 005 2 comma 425 2 comma 535 2 comma 675 y 755 905 930 1 comma 140 1 comma 175 1 comma 215 1 comma 480 1 comma 535 1 comma 625 When using the median-fit method with summary points open paren 1 comma 485 comma 905 close paren , open paren 1 comma 950 comma 1 comma 175 close paren , and open paren 2 comma 535 comma 1 comma 535 close paren , what is the approximate slope of the best-fit model?

How can the slope of the line be interpreted?

How can the y -intercept of the line be interpreted?