The state of Iowa is studying the relationship between the r…
The state of Iowa is studying the relationship between the rainfall in a season (in inches) and the number of bushels of corn produced per acre of land. A random sample of growing seasons is selected and the data is recorded in the table below. Rainfall inches( (x) Bushels of Corn per acre (y) 11.5 46.5 9.8 42.2 14.4 64.8 19.8 78.4 11.3 45.2 8.0 20.9 16.6 72.0 17.0 74.8 1. Find the linear correlation coefficient r for this data set. Round to three decimal places. 2. A hypothesis test is to be done to determine if there is linear correlation between these two variables. The null and alternative hypotheses are given below. Use a 0.05 level of significance.