Question: The following data represent the time between eruptions and the Time, x Length, y Time, x Length, y length of eruption for 8 randomly selected


The following data represent the time between eruptions and the Time, x Length, y Time, x Length, y length of eruption for 8 randomly selected geyser eruptions. 12.17 1.88 11.67 1.70 Complete parts (a) through (c) below. 11.84 1.80 12.19 1.90 Click here to view a scatter plot of the data. 12.04 1.81 11.62 1.73 Click here to view a residual plot of the data. 12.18 1.88 11.71 1.71 11.32 1.67 O A. Linear, positive association O B. Linear, negative association O C. A nonlinear pattern. O D. No association. (b) Does the residual plot confirm that the relation between time between eruptions and length of eruption is linear? O A. No. The plot of the residuals shows no discernible pattern, implying that the explanatory and response variables are not linearly related. O B. Yes. The plot of the residuals shows a discernible pattern, implying that the explanatory and response variables are linearly related. O C. No. The plot of the residuals shows that the spread of the residuals is increasing or decreasing, violating the requirements of a linear model. O D. Yes. The plot of the residuals shows no discernible pattern, so a linear model is appropriate (c) The coefficient of determination is found to be 91.5%. Provide an interpretation of this value. The least squares regression line explains % of the variation in (Type an integer or a decimal. Do not round.)
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