In the least-squares line y bar =5 +| 14x, what is the marginal change In bar y

Question

In the least-squares line y bar =5 +| 14x, what is the marginal change In bar y for each unit change in x When we use atleast-squares line to predict y values for x values beyond the range of x values found in the data, are we extrapolating or interpolating Are there any concerns about such predictions We are extrapolating There are no concerns about extrapolation We are interpolating. Interpolation is dangerous because the pattern of data may change inside the x range, We are extrapolating. Extrapolation is dangerous because the pattern of data may change outside the x range. We are interpolating. There are no concerns about interpolation.

Explanation / Answer

The marginal change in y^ for each unit change in x is 14.

We are extrapolating. Extrapolation is dangerous because the patter of data may change outside the x range.

If two variables have negative linear correlation the slope will be negative also.

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