can you fix the codes for question 1 using this information? Fit a model to predict bill length from bill depth for the palmerpenguins data, just called penguins. a) What is the estimated intercept term of the model? Save your answer in the variable q1.a b) What is the estimated slope term of the model? Save your answer in the variable q1.b c) Predict the expected bill length for a penguin with a bill depth of 14mm. Save your answer in the variable q1.c d) Construct a 90% prediction interval for the bill length of a penguin with a bill depth of 19mm. Save your answer in the variable q1.d e) Construct a 99% confidence interval for the average bill length of a penguin with a bill depth of 19mm. Save your answer in the variable q1.e f) What is the p-value for determining if there is evidence that the slope of this model is different from 0? Save your answer in the variable q1.f