Please help me with this worksheet. Thank you!

1) Use the following data for the yearly number or releases of each of the commercial movie studios and the gross receipts for those studios to answer questions 1 through 6 that follow. : No. of releases 361 270 306 22 35 10 8 12 21 Gross Receipts 3844 1962 1371 1064 334 241 188 154 125 {million 5) a) Describe all 4 characteristics of the association between the variables in context. Justify with the correlation coefficient. b) State the equation of the line of best fit and forx = 270 movies released, interpolate a value for f. c} Explain some of the reasons that one should not use this model to extrapolate the Gross Receipts for a studio which produces 2,000 movies in a year. d) Use the slope of the line of best fit in a complete sentence in context. e) Explain the meaning of the y-intercept of the line with units. Is this value meaningful in this context? 2) A random sample found 1,092 boys were born among 2,100 newborn children. Is this sample evidence that the birth of boys is more common {greater then 50%) than the birth of girls in the entire population? Use a 5% significance level and complete the hypothesis test as outlined below. . . a. State the Hypothesis b. Check the Conditions 1:. Dene p? and find the zscore. d. Find the p-value state your decision. e. Summarize the Conclusion in context. 3) The US Department of Energy reported that 48% of homes in the USA were heated by natural gas. A random sample of 340 homes in Oregon found that 177 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different from the US reported proportion. Use a 5% significance level and complete the hypothesis test as outlined below. _ a. State the Hypothesis b. Check the Conditions c. Dene p\" and find the zscore. d. Find the p-value state your decision. e. Summarize the Conclusion in context