(2 points) 6. Deep-water (>300 m) wave forecasts are important for large cargo s
ID: 2908459 • Letter: #
Question
(2 points) 6. Deep-water (>300 m) wave forecasts are important for large cargo ships. One method of prediction suggests that the wind speed (x, in knots) is linearly related to the wave height (y, in feet). A random sample of buoys was obtained, and the wind speed and wave height was measured at each. Assume that the assumptions for linear regression are met. The scatterplot of the wave height (y) vs. the wind speed (x) is shown below 6 8 10 12 Wind Speed (knots) (1 pt.) a) Would it be appropriate to use this study to predict the wave height when the wind speed is 10? Please explain your answer (1 pt.) b) Would it be appropriate to use this study to predict the wave height when the wind speed is 25? Please explain your answerExplanation / Answer
Solution.
a). Yes it would be appropriate to use this study to predict the wave height on the basis of wind speed because there is fair linear relationship between the variables .I.e. as we can see from the scatter plot we can draw a straight line from the data about which the data points will cluster round with less residual.
b) about the prediction of wave height when wind speed is 25 will be un allowable because the range of wind speed given in the plot do not contain this value. If we do so that will be extrapolation which is not permits le in regression analysis. And it will be your own risk.
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