Doctors are interested in the relationship between the dosage of a medicineand the time required for a patient's recovery. Table 2 shows, for a sample of10 patients, dosage levels (in grams) and recovery times (in hours). Thesepatients have similar characteristics except for medicine dosages.Table 2: Dosage Level and Recovery TimePatientDosage Level Recovery Time11.22521.32831.04041.4381.5106.1.89.71.2278.1.3309.1.416101.318a. Estimate the linear regression of recovery time on dosage level.b. Compute R2 and interpret it.c. Perform an F test of goodness of fit at the 5% significance level.

Data is given for 10 patients : Linear regression =? R^2=? F test of goodness of fit at 5%…

Answered: Doctors are interested in the…

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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The data used is from college campuses. The variables used in the analysis below include: crime, total campus crime; enroll, total enrollment; police, employed officers. Use the estimated OLS models to answer the questions below: Model A: In(crime) = -6.631 + 1.270ln(enroll), (1.034) (.110) n = 97; R² = .5804 Model B: In(crime) = -4.794 + .923ln(enroll) (.144) (1.112) n = 97; R² = .632 +.516ln(police), (.149) Using Model A, test the null hypothesis that elasticity of crime with respect to enrollment is unit elastic, i.e. equal to one (against a two-sided alternative). Calculate the t-statistic.
Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack İS summarized in the histogram below. 12 10 8 4 140 142 144 146 148 150 152 154 amount of sugar (mg) What Is the sample size for this data set? 2.
Because colas tend to replace healthier beverages and colas contain caffeine and phosphoric acid, researchers wanted to know whether cola consumption is associated with lower bone mineral density in women. The accompanying data lists the typical number of cans of cola consumed in a week and the femoral neck bone mineral density for a sample of 15 women. Complete parts (a) through (f) below. Click the icon to view the women's data. (a) Find the least-squares regression line treating cola consumption per week as the explanatory variable. y=x+( (Round to four decimal places as needed.) Colas per Week and Bone Density colas per week 0 1 1 1 2 2 2 3 5 5 5 6 7 7 7 Print Bone Mineral Density (g/cm³) D 0.906 0.867 0.879 0.869 0.851 0.833 0.834 0.813 0.757 0.761 0.758 0.728 0.698 0.707 0.704 Done - X ●●●
Identify the level of measurement of the data , and explain what is wrong with the given calculation.In a set of data , blood lead levels are represented as 1 for low , 2 for medium , and 3 for high . The average ( mean ) of the 642 blood lead levels is 1.3
The following histogram shows the amount of Potassium (in milligrams (mg) perserving) in 39 boxes of cereal. Use this histogram to answer the following questions. Image(a) What is the shape of this data?(b) What percent of the tested cereals have less than 80mg of potassium per serving?(c) What are the highest potassium levels in these cereals? Be as accurate as youare able.(d) What are the lowest potassium levels in these cereals? Be as accurate as you areable.
Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is summarized in the histogram below. Frequency 10 8 6 4 2 100 101 102 103 104 105 106 10 amount of sugar (mg) What is the frequency of 102 mg of sugar? snacks
Would love the help. 5
Studies suggest that women who smoke during pregnancy affect the birth weights of their newborn infants. To study this issue further, a sample of 10 women smokers were asked to estimate the average number of cigarettes they smoke per day. In the following table are their estimates and the birth weight (in kgs) of their child. Average Number of Cigarettes per day Birth Weight of Child (in kilograms) 22 2.91 16 3.27 4 3.68 19 3.14 42 2.32 8 3.82 12 3.45 30 2.95 14 3.00 16 3.68 (b) Use R-Studio to find the least squares estimate of the linear model that expresses the birth weight of a child as a linear function of the average number of cigarettes mom consumes in a day. Use four decimals in each of your answers.Y^i = ? + - Xi(e) A expecting mother, who smokes, claims to smoke an average of 20 cigarettes in a day. Predict the weight of her newborn. Use two decimals in your answer.kilograms(f) The weight of the child born to the expecting mother mentioned in (e) was…
A company's price/earnings (P/E) ratio is the company's current stock price divided by the latest 12 months' earnings per share. Suppose the following table shows the P/E ratios for a sample of 10 Japanese companies and 12 U.S. companies. Japan P/E Ratio 152 28 19 127 38 212 65 664 32 69 United States P/E Ratio 16 25 25 42 23 Find the value of the test statistic. W = 15.16 X 15 28 15 28 39 17 15 Is the difference between the P/E ratios for the two countries significant? Use the MWW test and α = 0.01 to support your conclusion. State the null and alternative hypotheses. Ho: The two populations of P/E ratios are identical. H₂: The two populations of P/E ratios are not identical. O Ho: Median for Japanese companies - Median for U.S. companies 20 H₂: Median for Japanese companies - Median for U.S. companies 0 O Ho: Median for Japanese companies - Median for U.S. companies > 0 H₂: Median for Japanese companies - Median for U.S. companies = 0 O Ho: The two populations of P/E ratios are not…
Looking at the histogram, would you say the data for heartrate is normally distributed?
The authors of a paper were interested in how the distance a deer mouse will travel for food is related to the distance from the food to the nearest pile of debris. Distances were measured in meters. The data and computer output are given below. Distance from Debris Distance Traveled 6.94 0.00 5.23 6.13 5.21 11.29 7.10 14.35 8.16 12.03 5.50 22.72 9.19 20.11 9.05 26.16 9.36 30.65 Simple Linear Regression Results: Dependent Variable: Traveled Independent Variable: Debris Sample size: 9 R (correlation coefficient) = 0.5657 R-sq = 0.32002088 Estimate of error standard deviation 8.670711 Parameter estimates: Parameter Estimate Std. Err. Alternative DF T-Stat P-Value Intercept -7.6854587 13.332196 ≠ 0 7 -0.5764586 0.5824 Slope 3.2340908 1.7818117 ≠ 0 7 1.8150575 0.1124 a)What is the least squares regression line for the output given above? b) what is the predicted traveled distance given the distance from debris is 6.5 meters?
110 adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below: # of times floss per week 0 1 2 3 4 5 6 7 Frequency 7 16 12 13 Relative Frequency 0.0636 0.1455 0.1091 0.1182 14 22 16 a. Complete the table (Use 4 decimal places when applicable) b. What is the cumulative relative frequency for flossing 1 time per week? 0.1273 0.2 0.1455 Cumulative Frequency % 7 23 35 48 72 94 110

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