(a) Draw a scatter diagram of the (x, y) data pairs. Do you think a straight line will be a good fit to these data? Do the y values almost seem to explode as time goes on? O No. A straight line does not fit the data well. The data does not seem to explode as x increases. O No. A straight line does not fit the data well. The data seem to explode as x increases. O Yes. A straight line does not fit the data well. The data seem to explode as x increases. O Yes. A straight line seems to fit the data well. The data seem to explode as x increases. (b) Now consider a transformation y' = log (y). We are using common logarithms of base 10. Draw a scatter diagram of the (x, y) data pairs and compare this diagram with the diagram of part (a). Which graph appears to better fit a straight line? O The two diagrams are the same. The transformed data does not fit a straight line better. O The two diagrams are different. The transformed data fit a straight line better. O The two diagrams are different. The transformed data does not fit a straight line better. O The two diagrams are the same. The transformed data fit a straight line better. (c) Use a calculator with regression keys find the linear regression equation for the data pairs (x, y'). What is the correlation coefficient? (Use 4 decimal places.) y' = r = (d) The exponential growth model is y = aß. Estimate a and B and write the exponential growth equation. (Use 4 decimal places.) a

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.