Below, you are provided with a scatterplot (both with and without the regression line) depicting the relationship between the hits (H) and runs (R) variables in the 2022 Missouri Valley Conference Baseball: Team Batting Totals dataset (see HW #2 for full dataset; you will only need the information below to answer the following questions, however). Use this information, along with the accompanying summary statistics, to answer the following questions. Note: We will use this data to predict the number of runs a team has based on the number of hits a team has.a. Does there appear to be a positive, negative, or no association between hits and runs? ? b. What is the correlation between hits and runs? c. How would we notate the correlation in this instance? (Hint: Is this sample or population data?) d. What is the intercept? e. What is the slope? f. Interpret the meaning of the slope in the context of this question. (Hint: "A one unit increase in X is associated with a *insert slope* increase in Y") g. Interpret the meaning of the intercept in the context of the question. Does this figure make logical sense? Why or why not? h. What is the formula for the estimated regression line (e.g., y = a+bx)? i. Use the formula from h to predict the number of runs for a team that has 500 hits. j. Use the formula from h to predict the number of runs for a team that has 600 hits. k. Would it be wise to use this regression line to predict the number of runs for a team that had 1000 hits? Why or why not?

Without regression line: 450 400 350 300 250 400 425 450 475 500 525 550 575 600 625 With regression line: 450 400 350 300 250 400 425 450 475 500 525 550 575 600 625 Statistic H R Mean 520.125 349.000 Standard Deviation 75.599 90.027 Sample Size 8 Correlation 0.957 Slope 1.139 Intercept 243.555