Statistics Questions Statistics Questions What is the elevation of the line at X=0? 2. When X increases, does Y increase or decrease? How much does Y change when X increases by 1?

Based on the positive value of the gradient, when X increases, Y also increases. The equation of the line of best fit is given by

For, X=1

3. How much of the variation in Y is accounted for by X?

Based on the value of, 48.96% of the variation in Y is accounted for by X.

4. What is the predicted value of Y at X = 5?

The value of Y predicted at X=5 is 19.324

5. In terms of the range of the X data, why is the predicted value of Y at X = 5 reliable?

The predicted value of Y is reliable because the confidence interval for the mean of Y is 99.37% which shows the predicted value is fairly close to 100%.

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