Use the following data to estimate a regression with femur length as the x-variable and tibia length as the y-variable.Femur Length Tibia Length18.714.220.515.916.213.115.012.419.016.221.315.821.016.214.312.115.813.014.313.818.818.7Is the following statement true or false:"The intercept of the regression is equal to (approximately) 3.59"TrueFalse

The variable “Femur Length” is defined as x and the variable “Tibia Length” is defined as y.

Answered: Use the following data to estimate a…

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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Find the regression equation, letting the diameter be the predictor (x) variable. Find the best predicted circumference of a marble with a diameter of 1.8 cm. How does the result compare to the actual circumference of 5.7 cm? Use a significance level of 0.05. Baseball Basketball Golf Soccer Tennis Ping-Pong Volleyball 7.5 21.4 4.0 Diameter Circumference 23.6 23.9 75.1 4.3 22.1 13.5 69.4 7.1 22.3 12.6 67.2 Click the icon to view the critical values of the Pearson correlation coefficient r. The regression equation is y= 0 (Round to five decimal places as needed.) + X.
When conducting a linear regression the _____ refers to how much variability in the outcome is explained by the predictor(s). R R2 Slope Intercept
You are given the following data, where X1 (GRE total score) and X2 (undergraduate GPA) are used to predict Y (graduate GPA): X1 X2 3.3 115 2.7 3.6 135 2.6 3 105 2.4 3.4 95 3 3.8 125 3.6 3.2 105 3.1 3.2 125 2.8 Determine the following multiple regression values. Report intercept and slopes for regression equation accurate to 3 decimal places: Intercept: a = Partial slope X1: bị = Partial slope X2: by = Report sum of squares accurate to 3 decimal places: SSTotal = Test the significance of the overall regression model (report F-ratio accurate to 3 decimal places and P-value accurate to 4 decimal places): F-ratio = P-value = Report the variance of the residuals accurate to 3 decimal places: MSres Report the standard error of the partial slope estimate for GRE total along with the test statistic (report answers accurate to 3 decimal places): s(b1) ti =
An engineer wants to determine how the weight of a car, x, affects gas mileage, y. The following data represent the weights of various cars and their miles per ga Car A B 2685 2935 3330 3700 4250 23 CD E Weight (pounds), x Miles per Gallon, y 24.2 21.4 19.8 11.5 ..... Choose the best interpretation for the slope. O A. The slope indicates the mean change in miles per gallon for an increase of 1 pound in weight. O B. The slope indicates the mean weight. O C. The slope indicates the mean miles per gallon. O D. The slope indicates the ratio between the mean weight and the mean miles per gallon. O E. It is not appropriate to interpret the slope because it is not equal to zero. Choose the best interpretation for the y-intercept. O A. The y-intercept indicates the miles per gallon for a new car O B. The y-intercept indicates the mean miles for a car that weighs 0 pounds. O C. The y-intercept indicates the miles per gallon of the lightest car in the population. O D. The y-intercept indicates…
The following regression output is for predicting the heart weight (in g) of cats from their body weight (in kg). The coecients are estimated using a dataset of 144 domestic cats. 20- 2.0 2.5 3.0 3.5 4.0 Body weight (kg) Estimate Std. Error t value Pr(>|t) (Intercept) body wt. -0.357 0.692 -0.515 0.607 4.034 0.250 16.119 0.000 s = 1.452 R = 64.66% Radi = 64.41% a) Write out the linear model. * poverty % b) Interpret the intercept. Expected heart weight of cats with no body weight is 4.034 kg Expected body weight of cats with no heart weight is 4.034 g For each additional 1 g increase in heart weight, we expect body weight to decrease by 0.357 kg For each additional 1 g increase in heart weight, we expect body weight to increase by 0.357 kg For each additional 1 g increase in heart weight, we expect body weight to increase by 4.034 kg Expected heart weight of cats with no body weight is -0.357 kg Expected body weight of cats with no heart weight is -0.357 g For each additional 1 kg…
Suppose a farmer collects data about the eggs their chickens are producing. They find that the average diameter of the eggs is 40 mm, with an SD of 3 mm. The average weight is 60 g, with an SD of 4 g. The correlation between the two variables is r = 0.62, and the scatterplot looks football shaped. What is the intercept of the regression line? Group of answer choices 18 23 27 31
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, y = bo + b₁x. Round the slope and y-intercept to the nearest thousandth. Grades on Midterm and Final Exams Grades on Midterm 75 83 76 75 64 69 89 88 84 62 82 72 76 100 Grades on Final 77 82 73 75 81 63
A diligent statistics student recorded the length of hisfaithful #2 pencil as he worked away on his homework.He discovered a strong linear relationship between thenumber of hours that he worked and the length of hispencil. Here is the regression analysis for these data.Dependent variable: length (cm)R2 = 92.3, R2 1adj2 = 89.5,coeff se t ratio p valueconstant 17.047 0.128 23.58 60.0001time (hr) -1.914 0.047 35.28 60.0001 a) Write the equation of the least square regressionline.b) Interpret R2 in this context.c) Interpret the equation in this context.d) This student’s girlfriend tried out his model on apencil she had used for 5 hours, and found a residualof -0.88 cm. How long was her pencil at that time?e) Should she have expected this model to describe therate for her pencils? Why or why not?
Interpret the values of the regression coefficients (intercept and slope)in this context. Note whether the intercept is meaningful (valid) for this data set.
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 4141 inches. Is the result close to the actual weight of 273273 pounds? Use a significance level of 0.05. Chest size (inches) 4040 5353 3838 4343 4444 5858 Weight (pounds) 227227 360360 153153 206206 234234 414414 LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r. Question content area bottom Part 1 What is the regression equation? ModifyingAbove y with caretyequals=enter your response hereplus+enter your response herex (Round to one decimal place as needed.) Part 2 What is the best predicted weight of a bear with a chest size of 4141 inches? The best predicted weight for a bear with a chest size of 4141 inches is enter your response here pounds. (Round to one…
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 69 57 73 90 90 75 66 90 76 77 Grades on Final 84 74 72 98 76 72 60 75 76 60
A sales manager for an advertising agency believes there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results. Coefficients Standard Error t-Stat p-value Intercept −12.201 6.560 −1.860 0.100 Number of contacts 2.195 0.176 12.505 0.000 What is the decision regarding the hypothesis that the slope is different from zero? Assume the level of significance is 0.05. Multiple Choice Fail to reject the null hypothesis. We conclude the slope is equal to zero. Fail to reject the alternative hypothesis. We conclude the slope is not equal to zero. Reject the null hypothesis. We conclude that the slope is not equal to zero. Reject the alternative hypothesis. We conclude that the slope is equal to zero.

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