Question

For which set of data does the slope of the trend line produced by a regression calculator equal approximately 6.1?

a. A 2-column table with 6 rows. Column 1 is labeled x with entries 2.4, 7.9, 9.7, 17.5, 19.3, 22.8. Column 2 is labeled with entries 10.5, 22.3, 25.5, 41.1, 44.2, 51.4.
b. A 2-column table with 6 rows. Column 1 is labeled x with entries 2.4, 7.9, 9.7, 17.5, 19.3, 22.8. Column 2 is labeled with entries 10.5, 22.3, 25.5, 41.1, 44.2, 51.4. A calculator screen. The linear regression equation is y ≈ 1.988x + 6.127; r ≈ 1.
c. A 2-column table with 6 rows. Column 1 is labeled x with entries 4.1, 6.3, 8.9, 10.2, 16.8, 18.4. Column 2 is labeled y with entries 11.2, 24.9, 31.5, 40.6, 87.4, 96.8.
d. A 2-column table with 6 rows. Column 1 is labeled x with entries 4.1, 6.3, 8.9, 10.2, 16.8, 18.4. Column 2 is labeled y with entries 11.2, 24.9, 31.5, 40.6, 87.4, 96.8. A calculator screen. The linear regression equation is y ≈ 6.101x + (-17.055); r ≈ 0.993.
e. A 2-column table with 6 rows. Column 1 is labeled x with entries 10.5, 22.3, 35.5, 41.1, 44.2, 51.4. Column 2 is labeled y with entries 2.4, 7.9, 9.7, 17.5, 19.3, 22.8.
f. A 2-column table with 6 rows. Column 1 is labeled x with entries 10.5, 22.3, 35.5, 41.1, 44.2, 51.4. Column 2 is labeled y with entries 2.4, 7.9, 9.7, 17.5, 19.3, 22.8. A calculator screen. The linear regression equation is y ≈ 0.503x + (-3.075); r ≈ 1.
g. A 2-column table with 6 rows. Column 1 is labeled x with entries 11.2, 24.9, 31.5, 40.6, 87.4, 96.8. Column 2 is labeled y with entries 4.1, 6.3, 8.9, 10.2, 16.8, 18.4.
h. A 2-column table with 6 rows. Column 1 is labeled x with entries 11.2, 24.9, 31.5, 40.6, 87.4, 96.8. Column 2 is labeled y with entries 4.1, 6.3, 8.9, 10.2, 16.8, 18.4. A calculator screen. The linear regression equation is y ≈ 0.162x + 2.904; r ≈ 0.993.

Answer 1

Option d, which includes a calculator screen with a linear regression equation of y ≈ 6.101x + (-17.055), has a slope of approximately 6.1.

Step-by-step explanation:

The student is asking which set of data has a slope of approximately 6.1 in the trend line produced by a regression calculator. To determine this, we need to look at the options and find the set of data that matches the given slope. After examining the options, we find that option d has a calculator screen showing a linear regression equation of y ≈ 6.101x + (-17.055), which has a slope of approximately 6.1. Therefore, option d is the correct answer.