The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they slept the night before the exam. Calculate the equation of the least squares line. Hint: x=7 and y=70. Round the estimates and slope and y-intercept to 2 decimal places. n=10 Σx=70 Ey = 700 Ex²=504.4 Ey2=53410 Exy=5126.8 y = 15.75x+40.25 = 15.75x-40.25 y = -40.25x+15.75 y = 40.25x-15.75
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4The ages, t years of 7 hospital patients and their blood pressure, p mmHg are shown in Table 3.Table 3 a b c d e f g t 42 74 48 35 56 26 60 p 98 130 120 88 182 80 135 c) Determine the intercept of the regression line correct to 3 decimal points.(d) Find the equation of the least square regression of p on t.(e) Estimate the blood pressure of a 40-year old patient.Determine the best (according to sum-of-squares-measure) curve y = Axb, through the data above. Transformed equation ln(y) = ln(A) + b ln(x) or Y = a + bX.
- The data below are the final exam scores of 10 randomly selected history students and the number of hours they slept the night before the exam. Hours, x 3 5 2 8 2 4 4 5 6 3 Scores, y 65 80 60 88 66 78 85 90 90 71 Find the least-squares regression line for the given data. Include a rough sketch of this line in your graph. Explain the meaning of the slope of this line.The following table gives the data for the grades on the midterm exam and the grades on the final exam. Determine the equation of the regression line, yˆ=b0+b1x�^=�0+�1�. Round the slope and y-intercept to the nearest thousandth. Grades on Midterm and Final Exams Grades on Midterm 7171 6262 7878 9494 8383 8181 8080 9494 8585 6262 Grades on Final 8888 7979 8888 9191 8080 7070 7171 9393 6565 7777The statistician calculates the equation of the least regression line to be y=173 + 0.53x where y is the airfare and x is the length of the flight. a. According to this model, how much would you expect to pay for a flight from Tucson to Denver? (580 miles) b. What is the slope of the least square regression line? c. Interpret the slope of the least-squares regression line in the context of this problem.
- 5. Find the equation of the regression line for the below data (Absences and Final Grades) Students A B C D E F G Number of Absences X 6 2 15 9 12 5 8 Final Grades(%) Y 82 86 43 74 58 90 78 i) Graph the line on the scatter plotii) Predict the final grade for a student who missed 4 classes.The following table gives the data for the grades on the midterm exam and the grades on the final exam. Determine the equation of the regression line, yˆ=b0+b1x. Round the slope and y-intercept to the nearest thousandth. Grades on Midterm and Final Exams Grades on Midterm 64 65 83 90 73 80 62 89 73 60 Grades on Final 76 72 86 94 74 74 68 92 79 67 Question: y=_________A physics student wants to measure the stiffness of a spring (force required per cm stretched). He knows that according to Hooke's law, there is a linear relationship between the distance a spring is stretched and the force needed to stretch the spring. He collects some data by measuring the force applied to the spring when he stretches the spring by some amount. The plot and the least squares fit is given below.From the regression model, the intercept was found to be -2.532 and the slope was found to be 25.321.Part i).The stiffness of the spring was predicted to beA. -9.961B. 25.321C. 50.642D. -2.532E. 125.84Part ii).Refer to the previous question, the physics student used the regression model to predict that a force of 377.28N would be required to stretch the spring by 15cm. Remarkably, his prediction was horribly wrong. Can you explain why? (Check all that apply)A. He made a prediction outside of the range of forces observed.B. He had outliers or influential points in his data.C.…