predicted received = 6.922 + 1.053 *sent，If, on a particular day, the lecturer sends 40 emails and receives 40 emails, that would mean that the prediction error for this day is approximately 9. Using the training data of 159 emails and the equation of the fitted line in Question 11, determine an appropriate error amount for a prediction model. Write the equation for this prediction model which includes the error term. In no more than one sentence, discuss a possible limitation of using this model to calculate a prediction interval for the number of emails received by this lecturer on a day where the lecturer sends 80 emails.

(Enter only a number in the response box, not the units)    The yield of wool in a particular farm is modeled by a linear function  P(t)=90t+3,450P𝑡=90𝑡+3,450 , where  P(t)𝑃𝑡  is measured in kg and  t𝑡  in years.     What is the initial production?     P(0)=𝑃0=    kg.     What is the prediction for the production in 8 years? P(8)=𝑃8=     kg.         The value in 8 years is   P(8)=4,056𝑃8=4,056  kg.     What is the absolute error of this model at  t=8𝑡=8 ?  Absolute error =     kg.     What is the percentage error? Round the answer to one decimal place.               Percentage error =     %

Refer to the previous exercise and perform the following tasks.a) Predict for the Director of the Department of Education in Queensland the mean mathematics test score at a school in the state where 50% of the teachers have at least one university degree in mathematics, their mean age is 43 years, and their mean annual income is $78,500. What is the corresponding approximate 95% prediction interval? Calculate the point prediction first manually and then with R, and the approximate 95% prediction interval manually only.b) Predict for the Director of the Department of Education in Queensland the mean mathematics test score at all schools in the state where 50% of the teachers have at least one university degree in mathematics, their mean age is 43 years, and their mean annual income is $78,500.c) Predict with 95% confidence the mean mathematics test score at a school in the state where 50% of the teachers have at least one university degree in mathematics, their mean age is 43 years, and their mean annual income is $78,500. How does this prediction interval compare to the approximate 95% prediction interval you obtained in part (a)? d) Estimate with 95% confidence the mean mathematics test score at schools in the state where 50% of the teachers have at least one university degree in mathematics, their mean age is 43 years, and their mean annual income is $78,500. How does this confidence interval compare to the prediction interval you obtained in part (c)?

The number of customers for a new online business can be modeled by y = 8x2 + 100x + 250, where x represents the number of months since the business started. Which is the best prediction for the number of customers in month 20?A.7750B.3550C.5450D.2050

Question 1Assume you fit a regression model to predict house prices from square feet based on a training data set consisting of houses with square feet in the range of 1000 and 2000. In which interval would we expect predictions to do best?

An AI model made the following sales prediction for a new mobile phone which theyhave recently launched:Confusion MatrixRealityYes NoPredictionYes 50 40No 12 10(i) Identify the total number of wrong predictions made by the model.(ii) Calculate precision, recall and F1 Score