In the R programming language, we would like to use the data set called iris to...

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  1. In the R programming language, we would like to use the dataset called iris to build a simple linear regression model topredict

Sepal.Length based onPetal.Length.

  1. Calculate the least squares regression line to predictSepal.Length based on Petal.Length. Interpret the slope of the linein the context of the problem. Remember that both variables aremeasured in centimeters.
  2. Plot the regression line in a scatterplot of Sepal.Length vs.Petal.Length.
  3. Test H1: ??1 ≠ 0 at ?? = 0.05 using both a??-test and an ??-test. Report the test statistics and interpretthe results.
  4. Visually check the normality assumption. Does it seemreasonable here?
  5. Visually check the constant variance assumption. Does it seemreasonable here?
  6. Interpret this regression model’s ??2.
  7. Using the regression line, what would you predict as theSepal.Length for an iris with a Petal.Length of 3.4 cm?
  8. We would expect approximately 95% of the irises to have aSepal.Length within ± (fill in the blank)  cm of theirpredicted values from the regression line.

Answers should be in the form of R code on how to accomplisheach part and include the correct statistical explanation for thosethat require it in the question. Please be as thorough as possible.Thank you so much!!!

Answer & Explanation Solved by verified expert
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aThe linear regression equation isY43066040892X    See Answer
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