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QuizMultiple Choice

Drawing Trend Lines — Quiz

Question 4 • Mathematics 8

For which of these sets of data would all the points be displayed on a scatterplot if the window size on a regression calculator were set to 5 is less than or equal to x comma x is less than or equal to 15 ; 25 is less than or equal to y comma y is less than or equal to 75 ?

Answer
A
Table with 2 columns and 7 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '6'; Column 2, '27' Row 3: Column 1, '7'; Column 2, '33' Row 4: Column 1, '9'; Column 2, '39' Row 5: Column 1, '11'; Column 2, '49' Row 6: Column 1, '13'; Column 2, '58' Row 7: Column 1, '16'; Column 2, '71'
B
Table with 2 columns and 7 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '27'; Column 2, '6' Row 3: Column 1, '33'; Column 2, '7' Row 4: Column 1, '39'; Column 2, '9' Row 5: Column 1, '49'; Column 2, '11' Row 6: Column 1, '58'; Column 2, '13' Row 7: Column 1, '71'; Column 2, '16'
C
Table with 2 columns and 7 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '27'; Column 2, '6' Row 3: Column 1, '33'; Column 2, '7' Row 4: Column 1, '39'; Column 2, '9' Row 5: Column 1, '49'; Column 2, '11' Row 6: Column 1, '58'; Column 2, '13' Row 7: Column 1, '71'; Column 2, '14'
D
Table with 2 columns and 7 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '6'; Column 2, '27' Row 3: Column 1, '7'; Column 2, '33' Row 4: Column 1, '9'; Column 2, '39' Row 5: Column 1, '11'; Column 2, '49' Row 6: Column 1, '13'; Column 2, '58' Row 7: Column 1, '14'; Column 2, '71'

Explanation

The window displays points whose x-values are from 5 through 15 and whose y-values are from 25 through 75, including the endpoints. In choice D, every x-value (6, 7, 9, 11, 13, 14) and every y-value (27, 33, 39, 49, 58, 71) is within those ranges. Choice A has x = 16, which is outside the window; choices B and C have x-values above 15.

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