A commercial vegetable and fruit grower carefully observes the relationship between the amount of fertilizer used on a certain variety of pumpkin and the revenue made from sales of the resulting pumpkin crop, recorded in the following table Amount of Fertilizer |250 500 750 1000 1250 1500 1750 2000 (pounds/acre) --- Revenue earned 96 145 172 185 192 196 198 199 (dollars/acre) The fertilizer costs $0.14 per pound. What would you advise the grower is the most profitable amount of fertilizer to use? Check your advice by answering/calculating the following. • Is cach pound of fertilizer equally effective? Explain. • Graph the data and then estimate the maximum amount of revenue that can be earned per acre from your graph. Call this estimate c. • Compute a linear regression for the data. • Compute a logarithmic regression(LnReg) for the data. • Use trial and error on your calculator to fit a function of the form r = c(1 – b") where c is the estimate for the maximum amount of revenue and 0 < b < 1 • Choose the best model for revenue and then write a total cost function for fertilizer. Use graphs on your calculator to find where cost equals revenue. • Write a profit function and graph it to advise the grower on the most profitable amount of fertilizer to use.

A box office analyst seeks to predict opening weekend box office gross for movies. Toward this​ goal, the analyst plans to use online trailer views as a predictor. For each of the 66 movies, the number of online trailer views from the release of the trailer through the Saturday before a movie opens and the opening weekend box office gross​ (in millions of​ dollars) are collected and stored in the accompanying table. A linear regression was performed on these​ data, and the result is the linear regression equation Yi=−1.254+1.3968Xi.   Complete parts​ (a) through​ (d). a. Determine the coefficient of​ determination,r2​,and interpret its meaning. b. Determine the standard error of the estimate.   c. How useful do you think this regression model is for predicting opening weekend box office​ gross?   d. Can you think of other variables that might explain the variation in opening weekend box office​ gross?

The linear regression equation for predicting systolic blood pressure from age is: y = 54 + 1.6*x Find the residual for a person who is 32 years of age with a systolic blood pressure of 103.9 (round your answer to one decimal place)

In Step 2: Construct an estimated simple linear regression model how did you come up with the column X*X ?

Describe three approaches to modeling seasonality in a regression forecast.

In running a logistic regression, a statistician decided to include decade of life (20s, 30s, 40s, 50s, 60s) as a categorical variable in the systematic component because they didn't believe the relationship between the log-odds and age was linear. Using dummy variables to create the systematic component, how many dummy variables would be needed to represented age?