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(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

(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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Let x = day of observation and y = number of locusts per square meter during a locust infestation in a region of North Africa.

I need help with (c) and (d)

Let x = day of observation and y = number of locusts per square meter during a locust infestation in a region of North Africa. 3 10 y 2 3 12 125 630 n USE SALT (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 to 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 Bß and write the exponential growth equation. (Use 4 decimal places.) a = B =
Transcribed Image Text:Let x = day of observation and y = number of locusts per square meter during a locust infestation in a region of North Africa. 3 10 y 2 3 12 125 630 n USE SALT (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 to 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 Bß and write the exponential growth equation. (Use 4 decimal places.) a = B =
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