1. A professor was interested in comparing how well her students…
Question 1. A professor was interested in comparing how well her students… 1. A professor was interested in comparing how well her students performed on their midterm and final exams in her calculus course. She randomly sampled 7 students from her class and recorded their midterm and final exam grades which are shown in the table below. Use this information to calculate Pearson’s correlation coefficient. StudentX=Midterm ExamY=Final ExamStudent 17576Student 27367Student 38793Student 49092Student 57266Student 68468Student 791882. A professor was interested in comparing how well her students performed on their midterm and final exams in her calculus course. She randomly sampled 7 students from her class and recorded their midterm and final exam grades which are shown in the table below. Use this information to calculate the slope of the least squares regression line. StudentX=Midterm ExamY=Final ExamStudent 15976Student 26567Student 39293Student 48092Student 55666Student 65068Student 767883. A professor was interested in comparing how well her students performed on their midterm and final exams in her calculus course. She randomly sampled 7 students from her class and recorded their midterm and final exam grades which are shown in the table below. Use this information to calculate the y-intercept of the least squares regression line. StudentX=Midterm ExamY=Final ExamStudent 17576Student 27367Student 38793Student 49092Student 57266Student 68468Student 791884. A researcher was interested in determining whether or not “Money can buy happiness”. He randomly sampled 300 individuals and asked them how much money they make annually as well as how happy they were at this point in their life on a scale from 1-10. He then proceeded to analyze the data and came up with the following regression equation where X represents the amount of money in tens of thousands of dollars that they made (i.e. $75,000 would correspond to 7.5) and Y represents their predicted happiness level: Y=4.8+0.21XUse this linear regression equation to predict the an individuals happiness level if their annual income is $80,000. 5. The owner of a local ice cream shop was curious if his sales were dependent upon the temperature. So he decided to record his total sales and the temperature for an entire year. In the table below is a random sample of 10 of those days where you can see the temperature in ∘C for that day as well as the total sales that the ice cream shop made. Temp. ∘C12411733232725383031Sales$592$353$482$419$526$593$509$328$560$503 Use this data to carry out the appropriate hypothesis test at the α=0.05 level of significance to determine if there is a linear relationship in the data. Make sure to address all of the following in your response:Include your hypotheses. (You can use the Canvas Math Equation editor by clicking on the x to include the appropriate symbols and notation)Check any and all relevant assumptions and state how you determined whether or not they were satisfied (Be as specific as possible)Specify your p-value rounded to 2 decimal places. (For example, if you had a p-value of 0.54321, then you would type 0.54)Include the decision you are making regarding the null hypothesis and specify why you are making that decision.Include a sentence conclusion in context of the given problem. Math Statistics and Probability STAT 1510 Share QuestionEmailCopy link Comments (0)
