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	1010	88	1111	99	1010	1414	55	44	1313	88	55
y	7.337.33	6.736.73	12.8612.86	6.786.78	7.467.46	8.978.97	6.216.21	5.515.51	8.178.17	6.566.56	5.95.9

Create a scatterplot of the data. Choose the correct graph below.

A.

05101520250510152025xy

A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (10, 9); (8, 7); (11, 8); (9, 8); (10, 7); (14, 6); (5, 6); (4, 13); (13, 7); (8, 6); (5, 8).

B.

05101520250510152025xy

A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (10, 7.5); (8, 6.5); (11, 13); (9, 7); (10, 7.5); (14, 9); (5, 6); (4, 5.5); (13, 8); (8, 6.5); (5, 6).

C.

05101520250510152025xy

A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (4, 6.5); (5, 6); (5, 9); (8, 6.5); (8, 8); (9, 7.5); (10, 6); (10, 13); (11, 5.5); (13, 7); (14, 7.5).

D.

05101520250510152025xy

Answer 1

the scatterplot of the data is given by

from the given scatterplot there seems a positive correlation between x and y with moderate strength

using minitab>stat>Regression

we have

Regression Analysis: y versus x

The regression equation is
y = 6.210 + 0.3526 x

S = 4.28511 R-Sq = 7.4% R-Sq(adj) = 0.0%

Analysis of Variance

Source DF SS MS F P
Regression 1 13.135 13.1353 0.72 0.420
Error 9 165.260 18.3622
Total 10 178.395

The regression equation is
y = 6.210 + 0.3526 x