Below is the Minitab display of the scatterplot and regression line for twelve,

Question

Below is the Minitab display of the scatterplot and regression line for twelve, randomly selected adult patients. The data is the number of hours each patient exercises in a typical week and their pulse rate. Use the Minitab display to answer question 20. Adult Patient Exerdise Analysis y 72.81 a 1.916 number of hours 20. A student wants to give a meaningful estimate of the average pulse rate for an adult patient who exercises 18 hours. Which of the following statements is correct regarding this estimate? 20 a) The estimate is only appropriate for at most 12 exercise hours. b) The estimate can be made by plugging 18 hours into the regression equation. c) The estimate cannot be made because the scatterplot does not indicate linear correlation. d) The estimate is only appropriate for at least 12 exercise hours. PART II: Show work when applicable. (points vary for each question) Do not bubble these answers. Write the answer on the corresponding answer line OR in the blank space provided. 21. Match the linear correlation coefficients with the scatterplots below by writing the letter of the Plot (A, B, C or D) next to the linear correlation coefficient value, r. (4 points) Plot A Plot B Scatterplot of Y vs X Scatterplot of Y vs X r-0.78 Plot r =-0.94 Plot r= 0.92 Plot 0.29 Plot Plot C Plot D Scatterplot of Y vs X Scatterplot of Y vs X r=

Explanation / Answer

20)

The student wants to give a meaningful estimate of the average of plus rate for an adult patients who exercise 18 hours .

From you Scatter plot there are only number of hours upto 12, So, they find regression equation upto 12 hours ,

So, Option A ic correct , The estimate only appropriate for at most 12 exercise hours .

21)

In Scatter plot A then points are very randomly scattered , So, its seems that there are very low correlation between x and y ,

So, for r =0.29 Plot A

In plot B there are positive correlation ,As x increases y also increases, So there is moderate correlation between x and y

So, for r = 0.78 Plot B

In plot C there are stong positive correlation , as x increases y also increases , So, for r = 0.92 Plot C

ANd In plot D there are negative correlation , as x increases y decreases , So, for r = -0.94 Plot D

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