The equation of the line of best fit minimises
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- A fisherman has collected data about the length in inches, L, and weight in ounces, w, of fish he has caught. The resulting line of best fit for the data is w=−37.1+3.2L. What is the predicted weight in ounces for a fish that is 22 inches long? 107.5 ounces 33.3 ounces 70.4 ounces 18.5 ouncesEstimatethe value of Duf (30, 20), where u = (i + j)/√2.Estimate using the Linear Approximation and find the error using a calculator. 16.51/4 − 161/4
- Data comprises of the number of hours studied (X) and the exam grade (Y) obtained for 6 first year students registered at UWC. The equation of best fit is given by: y = 67.071 + 4.535x. What is the correct interpretation of the equation? A. Every extra hour spent studying will likely result in better exam performance shown by a mark increase of about 67.07%. B. Every extra hour spent studying will likely result in better exam performance shown by a mark increase of about 4.54%. C. A 1 unit increase in y will lead to an increase of 4.535 units in x, D. Every extra hour spent studying will likely result in better exam performance shown by a mark increase of about 67.07+4.54% = 71.61%.Data was collected on the number of pairs of shoes people on and the number of miles they walk per week. R-Squared =0.38. Then 38% of the variation in miles walked can be explained by the linear relationship between the number of shoes own and the miles walked. 62% is attributable to other favtors. True Or FalseEstimate the standard errors of the intercept and slope se B0 = ? (3 decimal places) se B1 = ? (3 decimal places) Test the hypothesis Ho: B0 = 0 versus H1: B0 not equal to 0 using a = 0.01 to = ? (3 decimal places) Test the hhpothesis Ho: Bo = 2500 versus H1 : B0 > 2500 using a 0.025 to = (3 decimal places)
- 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.4. What relationship must hold between the constants a, b and c to makeThe table shows data collected on the relationship between the average number of minutes spent exercising per day and math test scores. The line of best fit for the data is yˆ=0.44x+65.2. Minutes 25303540 Test Score 76798083 (a) According to the line of best fit, the predicted test score for someone who spent 42 minutes exercising is 83.68. (b) Is it reasonable to use this line of best fit to make the above prediction? Select the correct answer below: The estimate, a predicted test score of 83.68, is both reasonable and reliable. The estimate, a predicted test score of 83.68, is unreliable but reasonable. The estimate, a predicted test score of 83.68, is both unreasonable and unreliable. The estimate, a predicted test score of 83.68, is reliable but unreasonable.
- Anna wants to estimate the average shower time of teenagers. From the sample of 50 teenagers, she found out that it takes 5 minutes for teenagers to shower. What is the parameter? a. sample of 50 teenagers b. 50 teenagers in 5 minutes c. average shower time of teenagers d. took 5 minutes for teenagers to showerA fisherman has collected data about the length in inches, L, and weight in ounces, w, of fish he has caught. Use the data in the table below to construct an equation for the line of best fit to predict weight from length. Round to three decimal places. L 15 17 18 18 19 21 22 23 W 22 36 35 40 43 52 57 69 L=0.181+11.127w w=5.342−57.907L L=11.127+0.181w w=−57.907+5.342LQ9: Assume that a researcher wants to estimate the proportion of “A” grade scorers in STAT101 course for the population of SEU students in 2020. Assume also that the proportion of “A” grade scorers in 2020 is not known. How many SEU students must be surveyed from STAT101 course in order to be 90% confident and the margin of error should not exceed two percentage points? (Given zα/2 = 1.64). 1- 1821 2- 1781 3- 1618 4- 1681