discussion post based in statistics data

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Answering the following questions using the Data below:

          mpg        wt        hp_x000D_
mpg  1.000000 -0.872112 -0.776205_x000D_
wt  -0.872112  1.000000  0.659479_x000D_
hp  -0.776205  0.659479  1.000000
  1. What is the slope coefficient for the weight variable? Is this coefficient significant at 5% level of significance (alpha=0.05)? (Hint: Check the P-value, P is greater than the absolute value of t , for weight in Python output. Recall that this is the individual t-test for the beta parameter.) See Step 5 in the Python script.
  2. What is the slope coefficient for the horsepower variable? Is this coefficient significant at 5% level of significance (alpha=0.05)? (Hint: Check the P-value, P is greater than the absolute value of t , for weight in Python output. Recall that this is the individual t-test for the beta parameter.) See Step 5 in the Python script.
  3. Last week, you performed an overall F-test. Why do you now need to perform individual t-tests? What are the differences in the interpretation of the two tests?
  4. What is the coefficient of determination of your multiple regression model from Module Six? Provide appropriate interpretation of this statistic.

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