Question

use the given data to find the equation of the regression line. examine the scatterplot and identify a characteristic of
the data that is ignored by the regression line.
x 10 8 13 9 10 14 6 4 11 6 5
y 7.11 6.72 12.92 6.94 7.94 9.08 6.11 5.46 8.32 6.65 5.75

create a scatterplot of the data. choose the correct graph below.
a. b. c. d.

Explanation:

Step1: Analyze x and y ranges

x values: 4,5,6,6,8,9,10,10,11,13,14 (range 4 - 14). y values: 5.46,5.75,6.11,6.65,6.72,6.94,7.11,7.94,8.32,9.08,12.92 (range ~5 - 13).

Step2: Check scatterplot patterns

We need to see which graph has x from ~4 - 14 and y from ~5 - 13, with a general positive trend (since as x increases, y tends to increase, e.g., x=4,y=5.46; x=14,y=9.08, and x=13,y=12.92 is an outlier). Let's check the options:

• Option A: Has a point around y=13 (matches x=13,y=12.92) and other points in y ~5 - 10, x ~4 - 14.
• Option B: y values seem too low for x=13 (no high y point).
• Option C: No high y point for x=13.
• Option D: Points are too clustered, missing the outlier at x=13,y=12.92.

So the correct scatterplot should include the outlier at (13,12.92), which is in Option A.

Answer:

A. The graph with x - axis 0 - 25, y - axis 0 - 25, showing a general positive trend with a point at (13, ~13) and other points in lower y for lower x.