CP9 unfinished

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Los Angeles Pierce College *

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227

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Mathematics

Date

Apr 3, 2024

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8

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Math 227 Class Packet #9 T o p i c s ( 2 . 6 ) - Estimating regression lines - Working with regression lines First Things First 1) For each of the parts below, use the scatter plot to draw a line of best fit. Pick two points on the line and write the equation of the line (give your answer in regression line form Response = b 0 + b 1 * Explanatory ) . i )
i i ) 2) Use the table below to answer each of the parts. i) Plot the data on the axis. ii) Use StatKey to find the equation of the regression line and draw the regression line. iii) Use the explanatory variable to estimate the value of the residuals and add them to the table. 2 CP9.nb
3) The table below gives information about Patrick M a h o m e s passing yards vs. points scored by the Chiefs during the 2020 - 2021 NFL season. Use the table below to answer each of the parts. i) Generate a scatterplot of Passing Yards vs. Points using StatKey and describe if there appears to be an a s s o c i a t i o n . ii) Use the equation of the regression line to predict the number of points scored if Patrick M a h o m e s passes for 218 yards. CP9.nb 3
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iii) Suppose Patrick M a h o m e s passed for 500 yards in one game but the team somehow didn’t manage to score a single point. How would this change the equation of the regression line? What does this mean about o u t l i e r s ? Do It Yourself 4) For each of the parts below, use the scatter plot to draw a line of best fit. Pick two points on the line and write the equation of the line. i) i i ) 4 CP9.nb
5) Use the table i) Plot the data on the axis. ii) Use StatKey to find the equation of the regression line and draw the regression line. iii) Use the explanatory variable to estimate the value of the residuals and add them to the table. CP9.nb 5
6) The table below gives the total production budget and total worldwide box o ff ice for Marvel Movies released between 2010 and 2020. Use the table to answer each of the parts. i) Generate a scatterplot of production budget vs. box o ff ice gross in S t a t k e y and describe if there appears to be an association. ii) Use the regression line to predict the box o ff ice gross for a movie with a production budget of $175M. 6 CP9.nb
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Do It Yourself Answers 4) Answers should be close to the outputs below. i ) ii) There does not appear to be a linear relationship between the variables. 5) Answers should be close to the outputs below. 6 ) CP9.nb 7
i ) ii) The regression line predicts a Marvel movie with a production budget of $175M will gross $834.256M w o r l d w i d e . B o o k w o r k Pg. 146 - 2.236, 2.245, 2.249, 2.260 8 CP9.nb