please use r studio and upload the data set I included:

answers need to be rounded 2 decimal places

additional information to help with questions:

https://sjdres.github.io/MBA8350_Companion/

All questions use the following scenario. Each question is worth 2 points. Suppose you are an agricultural scientist charged with understanding why some growing processes produce di'erent crop yields of grain than others. Your dataset contains 80 observations. where each observation has Information on each of the following variables: . WELD; is the crop yield in bushels per acre for farm i. o LIGHT; is the daily amount of sunlight (in hours) the crops receive at farm i. o INTER; is the daily amount of water (in thousands of gallons per acre) the crops receive at farm i. Note: it takes approximately 30,000 gallons of water to lrrlgate one acre with an inch of water. . PERT; is a dummy variable indicating if farm i uses fertilizer: a 1 Indicates that farm i does use fertilizer. a 0 indicates that farm i does not. A QUESTION 1 1. Start with analyzing a regression with YIELD as the dependent variable and LIGHT and WATER as the independent variables (i.e., ignore FERT for now). YIELDi=Bo + BI LIGHT + BZ WATER + Ex Estimate the Population Regression Function above, state the estimate Bi, and interpret it. QUESTION 2 1. Using the same regression results from Question 1, state the estimate B 2, and interpret it. QUESTION 3 1. Using the same regression results from Question 1, state the estimate / o, and interpret it. Briefly discuss why this result should or should not be taken seriously. QUESTION 4 1. Provide a 95% confidence interval around the population mean crop yield on an acre of land that receives 8 hours of sunlight and 25 thousand gallons of water per day. Left side of interval: Right side of interval: QUESTION 5 1. Is there evidence that one additional hour of sunlight (all else constant) results in MORE THAN 5 additional bushels per acre at the 95% confidence level? Provide the null and alternative hypotheses, the p-value associated with this test, and your conclusion. QUESTION 6 1. Extend the analysis by including the dummy variable indicating if the land was fertilized. YIELD=Bo + Bi LIGHT+B2 WATER + B: FERTi+Ex Estimate the Population Regression Function above, state the estimate B1, and interpret it. QUESTION 7 1. What is the expected difference between two acres of land that both receive 8 hours of sunlight and 25 thousand gallons of water per day, but one acre uses fertilizer while the other does not. QUESTION 8 1. Extend the analysis further by including an interaction between WATER and the fertilizer dummy variable, (FIDA= Bo + Bi LIGHT:+ B2 WATER + B: FERTi+ B+ Xi+ &; where is the interaction term. Estimate the above PRF. Provide the estimate of the coefficient on the interaction term (B4) and determine if the population coefficient B is significantly different from 0 at the 95% confidence level or better. QUESTION 9 1. Briefly state in detail what this interaction term tells us about how the use of fertilizer affects the impact of additional watering of crops on crop yield. (HINT: be sure to mention the numerical difference in the impact of additional watering on crop yield due to the use of fertilizer.) QUESTION 10 1. Submit your completed R-script