U.S. Farms. As the number of farms has decreased in the Uni…
U.S. Farms. As the number of farms has decreased in the United States, the average size of the remaining farms has grown larger, as shown in the table below. Enter years since 1900. (1910 as 10, 1920 as 20, …) Use a piece of paper to answer the following and take a picture and load it in this item number. Year Average Acreage Per farm 1910 139 1920 149 1930 157 1940 175 1950 216 1959 303 1969 390 1978 449 1987 462 What is the explanatory variable? Response variable? (2pts) Create a scatterplot diagram and identify the form of association between them. Interpret the association in the context of the problem. (8 pts) What is the correlational coefficient (r)? (3pts) Is the correlational coefficient significant or not? Test the significance of “r” value to establish if there is a relationship between the two variables. (5 pts) What is the equation of the linear regression line? Use 4 decimal places. (3pt) Interpret the slope and the y – intercept in the context of the problem. (3 pts) Use the equation of the linear model to predict the acreage per farm for the year 2015. (Round off to the nearest hundredth. (3pts) Calculate the year when the Acreage per farm is 100. (3pts)