05:51 O O M •Vo) 4GLTÉ llTUTORIAL 1.pdf1. A diabetic is interested in determining how the amount of aerobic exerciseimpacts his blood sugar. When his blood sugar reaches 170 mg/dL, he goesout for a run at a pace of 10 minutes per mile. On different days, he runsdifferent distances and measures his blood sugar after completing his run.Note: The preferred blood sugar level is in the range of 80 to 120 mg/dL. Levelsthat are too low or too high are extremely dangerous. The data generated aregiven in the following table.Distance 2|22.5 2.5 333.5 3.5 4 44.5 4.5(miles)Blood136 | 146 131125 120 116 104 95 85 94 8375sugar(mg/dl)a) Construct a scatter diagram for these data. Does the scatter diagram exhibit alinear relationship between distance run and blood sugar level?b) Find the predictive regression equation of blood sugar level on the distance run.c) Give a brief interpretation of the values of ßo and B, calculated in part b.d) Plot the predictive regression line on the scatter diagram of part a and show theerrors by drawing vertical lines between scatter points and the predictiveregression line.e) Calculate the predicted blood sugar level count after a run of 3.1 miles (5kilometers).f) Estimate the blood sugar level after a 10-mile run. Comment on this finding.2. Hanna Properties specializes in custom home resales in the EquestrianEstates, an exclusive subdivision in Phoenix, Arizona. A random sample of ninecustom homes currently listed for sale provided the following information onsize and price. Here, x denotes size, in hundreds of square feet, rounded to thenearest hundred, and y denotes price, in thousands of dollars, rounded to thenearest thousand. For part (g), predict the price of a 2600-sq. ft. home in theEquestrian Estates.262733292934304022y540555575| 577606661738804496a) Find the regression equation for the data points.b) Graph the regression equation and the data points.c) Describe the apparent relationship between the two variables underconsideration.d) Identify the predictor and response variables.e) Identify outliers and potential influential observations.f) Predict the values of the response variable for the specified values of thepredictor variable, and interpret your results.3. Construct a scatter plot for the data in the following table0.51*1.5y23a) Plot the following two lines on the scatter plot:y = 3 - x and y = 1+ xb) Which of these lines would you choose t0 characterize the relationship batween: und y? Explainc) Show that the SSE for both these lines equals 0.

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(mg/dl) a) Construct a scatter diagram for these data. Does the scatter diagram exhibit a linear relationship between distance run and blood sugar level? b) Find the predictive regression equation of blood sugar level on the distance run. c) Give a brief interpretation of the values of Bo and ß1 calculated in part b.

(mg/dl) a) Construct a scatter diagram for these data. Does the scatter diagram exhibit a linear relationship between distance run and blood sugar level? b) Find the predictive regression equation of blood sugar level on the distance run. c) Give a brief interpretation of the values of Bo and ß1 calculated in part b.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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