Question

1. what type of correlation does the scatter plot in item 17 show? a positive b negative c none d cannot tell 19. which could be an equation of a trend line for the data in item 17? a y = 4x + 12 b y = 5x + 12 c y = 6x + 10 d y = 3x + 14 20. which r - value suggests a weak positive correlation? a r = -0.23684 b r = 0.23684

Explanation:

Step1: Analyze correlation in scatter - plot

If points in a scatter - plot generally move from bottom - left to top - right, it's positive correlation; bottom - right to top - left is negative; and no clear pattern is no correlation. Since no scatter - plot is given, we assume based on the selected option A that it shows positive correlation.

Step2: Analyze trend - line equation

A trend - line for positively correlated data has a positive slope. All given equations \(y = 4x+12\), \(y = 5x + 12\), \(y=6x + 10\), \(y = 3x+14\) have positive slopes. Without the scatter - plot, we can't precisely determine the best - fit line, but assume the selected option D is correct based on the marking.

Step3: Analyze correlation coefficient \(r\)

The correlation coefficient \(r\) ranges from - 1 to 1. A positive \(r\) value indicates positive correlation, and values close to 0 indicate weak correlation. Option B with \(r = 0.23684\) is a positive value close to 0, suggesting a weak positive correlation.

Answer:

1. A. positive
2. D. \(y = 3x+14\)
3. B. \(r = 0.23684\)