Question: PLEASE DO FROM 10 TO 12 . . A researcher wants to know if the gestation period of an animal can be used to predict

PLEASE DO FROM 10 TO 12 ..

A researcher wants to know if the gestation period of an animal can be used to predict life expectancy. She collects the data (Please see the EXCEL data file attached).

Use EXCEL to answer the following questions. Please copy and paste the results and graphs in a word document and type your answers. Attach your files for grading.

  1. The researcher wants to use the gestation period of an animal to predict the life expectancy. Determine which is the explanatory variable and which is the response variable.
  2. Draw a scatter plot of the data. Based on the scatter plot, discuss the pattern, strength, and direction of the relationship between the gestation period of an animal and life expectancy.
  3. Compute the Pearsons linear correlation coefficient value, r, and use the critical value from the table to test if the correlation r is significant.
  4. Use the value of correlation, r, to discuss the pattern, strength, and direction of the relationship between the gestation period of an animal and life expectancy.
  5. Find the coefficient of determination (r2) and interpret the value.
  6. Find the least square regression line, treating the gestation period of an animal as explanatory variable and life expectancy as the response variable.
  7. Draw the least-square regression line on the scatter plot.
  8. Interpret the slope and y-intercept (if appropriate) in this context.
  9. Suppose a new animal species has a gestation period of 95 days, Use the regression line to predict the life expectancy of the animal.
  10. Use the regression line to predict the life expectancy of a parakeet. Compute the residual.
  11. Would it be reasonable to use the regression line you found, to predict the life expectancy of an animal whose gestation period is 200 days? Why or why not?

12. Find all the residuals and draw a residual plot. Does the residual plot suggest that the linear regression model is a good fit for this data? Explain why.

PLEASE DO FROM 10 TO 12. ...........10 TO 12

Animal Gestation Period (in days) Life Expectancy (in years)
Cat 63 11
Chicken 22 7.5
Dog 63 11
Duck 28 10
Goat 151 12
Lion 108 10
Parakeet 18 8
Pig 115 10
Rabbit 31 7
Squirrel 44 9

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