For item 1 to 4.The following data represent a set of 10experimental runs in whichtwo independent variables X1 and X2 are controlled andvalues of a response Yare observed:Y61.561.23252.531.522.55356.834.852.752.5355.23Estimate the multiple Linear regression, Y1. The regression estimate a.1.68X12400245025002700275028002900300031003200-0.04X254.556.443.265.245.547.56566.557.368=a + b₁X₁ + b₂ X2 Question 4The multiple correlation of Y on X1 and X2 in 2 decimal places.0.911.930.890.900.93Previous

The provided information is Y X1 X2 61.5 2400 54.5 61.2 2450 56.4 32 2500 43.2 52.5 2700…

Answered: The following data represent a set of…

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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An investigation is performed to evaluate two new experimental treatments for allergies. 18 subjects who suffer from allergies are enrolled in the study and randomly assigned to one of three treatments: Control Group, Experimental Treatment 1, or Experimental Treatment 2. Each subject is instructed to take the assigned treatment, and symptoms of allergies are recorded on a scale of 1 to 20, with higher scores indicating worse symptoms. The data is summarized in the table below: SBP Std. Deviation Group Mean Control Treatment 6. 16.17 2.483 Experimental Treatment 1 6. 11.33 1.966 Experimental Treatment 6. 3.83 1.472 Total 18 10.44 5.554 Use this data to complete an ANOVA table to test for a significant difference in the means of each of the groups. Round all answers to the third decimal point.
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
3.18. A manufacturer of television sets is interested in the effect on tube conductivity of four different types of coating for color picture tubes. A completely randomized experiment is conducted and the following conductivity data are obtained: Coating Type 1 234 2 4 143 152 134 129 Conductivity 150 137 132 132 141 149 136 127 146 143 127 129 (a) Is there a difference in conductivity due to coating type? Use a = 0.05. (b) Estimate the overall mean and the treatment effects. (c) Compute a 95 percent confidence interval estimate of the mean of coating type 4. Compute a 99 percent confidence interval estimate of the mean difference between coating types 1 and 4.
Consider two sets of data, X and Y, with n = 10 observations each. If the mean ranks for X and Y are 6 and 5, respectively, what is the test statistic for the Wilcoxon Signed-Ranks test on these two sets of data?
The following data were obtained an independent-measures research study comparing three treatment conditions. Use an ANOVA with α = 0.05 to determine whether there are significant mean differences among the treatments. TREATMENT I II III 2 5 7 N = 14 5 2 3 G = 42 0 1 6 ∑X^2 = 182 1 2 4 2 2 T 12 10 20 SS 14 9 10
2. A researcher had rats engage in a lever-press task for either a small, medium, or larger reward. The number of lever presses was the dependent variable. The data were as follows: Reward Size Small Medium Large 1 4 6 4 3 5 1 4 4 2 5 T = 13 SS = 2.75 T= 6 T= 20 SS = 9 SS = 2 EX2 = 165 a. Do the data indicate that reward size had a significant impact on lever-pressing? Use the hypothesis testing steps & p = .05. Compute any necessary post-hoc tests. b. Compute eta-squared to measure the effect size.
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The following histogram summarizes height data, in cm, for a sample of male participants in the 2015-2016 National Health and Nutrition Examination Survey. 40 35 00 30 25 25 Frequency 20 20 15 10 5 NHANES Male Heights 0 87.3 97.5 107.7 117.9 128.1 138.3 148.5 158.7 168.9 179.1 189.3 Height (cm) XLSTAT Trial What relationship do you expect between the mean and median male height? The mean and median are approximately equal. The mean is greater then the median. The mean is less than the median.
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