Question

The following data represent the time between eruptions and the length of eruption for 8 randomly selected geyser eruptions.

Time, x   Length, y
12.16   1.87
11.73   1.80
11.99   1.87
12.17   1.89
11.28   1.64
11.68   1.74
12.24   1.90
11.57   1.71
11.74   1.78

(a) What type of relation appears to exist between time between eruptions and length of​ eruption?

A.

​Linear, negative association

B.

​Linear, positive association

Your answer is correct.

C.

A nonlinear pattern.

D.

No association.

​(b) Does the residual plot confirm that the relation between time between eruptions and length of eruption is​ linear?

A.

Yes. The plot of the residuals shows a discernible​ pattern, implying that the explanatory and response variables are linearly related.

B.

No. The plot of the residuals shows that the spread of the residuals is increasing or​ decreasing, violating the requirements of a linear model.

C.

No. The plot of the residuals shows no discernible​ pattern, implying that the explanatory and response variables are not linearly related.

D.

Yes. The plot of the residuals shows no discernible​ pattern, so a linear model is appropriate.

Answer 1

Ans:

a)

​Linear, positive association

b)

Yes. The plot of the residuals shows no discernible​ pattern, so a linear model is appropriate.