.QuesrionZ Boiip103 .2199 ODetas Beer and blood alcohol content: Many people believe that gender. weight, drinking habits, and many other factors are much more important in predicting blood alcohol content iBACl man simply considering the number of drinks a person consumed. Here we examine data from sixteen student volmteers at Ohio State University who each d tank a randomly assigned number of cans of beer. These students were evenly divided between men and women. and they differed in weiytt and drinking habits. 111irty minutes later. a police officer measured their blood alcohol content EM} in grams of alcohol per deciliter of blood [Malkev'itc and Lesser. 1003}. The scatterplot and regression table summarize the findings. 0.15- 0.10- v u 0.05- " " BAG (grams per (196' 'ter) 2 4 6 8 Cans of beer Estimate Std. Error tvalue PP |t|] [Interoept] 41.012? 0.0116 -1.|]C| 0.3310 beers 0.0180 0.0014 145 0.0000 [a] Describe the relationship between the number of cans of beer [x] and an: [y]. :2: weak, Positive 2:: moderatei'strong. negative 2:: weak,negative 2:: moderatei'strong. positive [b} White the equation of the re ression line. Interpret the slope and intercept in context. The equation of the regress' he is {please do not round}: j _ l I + I la: The interpretation of the slope is: "T; For each additin can of beer. M is expected to increase by about .015 I"; For each additional can of beer. M is expected to decrease by about .018 "T; For each additin can of beer. M is expected to decrease by about .012? "T; For each additional can of beer. M is expected to increase by about .012? [ci Do use data provide strong evidence that drinking more carts of beer is associated with an increase in blood alcohol? State He null and alternative hypotheses, report the p-value. and state your conclusion. The hypoIeses are: "l-HO: 13 _ 0 Ha: 6. 0 "3H0: 13 _ 0 Ha: 3- 0 1:: Ho: 13 _ 0 Hi: ,9 , 0 The p-value [or the test is: p a l I Write the conclus' for . r I t es : Since Hie p-value Is than 0.05. we can the null hypothesis. There is evidence to show that a significant relationship exists between the BdC and Hie number of drinks a person consumes. [d]- The correlation coefficient for number of cans of beer and NC is 0.39. Calculate R2 and interpret it in context. The value of R1 is I I {please leave your answer as a decimal, and round to three places} The interpretation of the value above is: "i; the percent of time \"at our model is accurate "is the proportion of variation in ME that is explained by nunber of cans of beer consumed "i; the proportion of alcohol in beer that contributes to BIC Sub All Parts Question 4 6 0/1 pt 0 3 # 99 0 Details Christian is investigating how long his phone's battery lasts (in hours) for various brightness levels (on a scale of 0-100). His data is displayed in the table and graph below. Brightness Level (x) 27 28 36 55 61 65 73 90 Hours (y) 7.8 5.7 7.6 6.3 3.4 3.2 3.2 5.2 10 Hours 20 30 40 50 60 70 80 90 100 Brightness Level a) Find the equation for the line of best fit. Keep at least 4 decimals for each parameter in the equation. b) Interpret the slope in context. O Christian should predict an increase of 0.0557 hours per brightness level. O Christian should predict a decrease of 0.0557 hours per brightness level. c) What does the equation predict for the number of hours the phone will last at a brightness level of 90? hours d) What is the residual for the point (90,5.2)? hours Question Help: Video Submit Question Question 5 60/1pt 0 3 # 99 0 Details In a statistics course, a linear regression equation was computed to predict the final-exam score from the score on the first test. The equation as y = 6 + 0.9x where y is the final-exam score and x is the score on the first test. Jerome scored 85 on the first test. What is the predicted value of the Jerome's score on the final exam? Jerome scored 70.5 on the final exam. What is the value of the residual? Submit QuestionHere are two scenarios that can be answered using an appropriate hypothesis test: One is a Chi-Squared Test for Independence, and one is a Chi-Squared Goodness of Fit Test (not necessarily in that order): 1. Records of randomly selected births were obtained and categorized according to the day of the week that they occurred (based on data from the National Center for Health Statistics). Because babies are unfamiliar with our schedule of weekdays, a reasonable claim is that births occur on the different days with equal frequency. See the table that follows. Use a 0.01 signicance level to test the claim. Day Tuesday Wednesday Thursday Saturday # of births 124 97 2. A random sample of 760 subjects was obtained, and each was tested for left-hand writing. Results are in the table below. Use a 0.05 signicance level to test the claim that lefthandedness is independent of gender. Writes with Left Hand? Yes No Male 23 217 Female 65 455 Initial Post: Complete BOTH problems, ensuring to follow all 5-steps outlined in the readings. Feel free to use StatCrunch to perform the calculations for you. You may assume that all the conditions for using the ChiSquare Distribution are satised. You can choose to write your solution on paper and upload an image of your work, OR you may type out your solutions (but try to use the appropriate symbols in your response by using the "insert math question" feature)