Question

In: Statistics and Probability

Given the following data, what is the R squared value?(Hint: use the video in Part VI...

Given the following data, what is the R squared value?(Hint: use the video in Part VI on "simple linear regression" to aid you)

Height Shoe Size Age Weight
72 9 32 120
65 12 49 180
50 10 18 95
70 10 27 145
55 11 17 170
62 12 44 155

a. 95.7%

b. Not enough information

c. 91.6%

d. 79.1%

Solutions

Expert Solution

The answer is:

R Square c. 91.6%

(We are asked the R-square, not Multiple R nor Adjusted R Square, hence the above answer)

The regression model run in excel is:

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!


Related Solutions

Using software with the given​ data, find and interpret the multiple correlation and Upper R squared...
Using software with the given​ data, find and interpret the multiple correlation and Upper R squared for the relationship between yequalscollege ​GPA, x 1equalshigh school​ GPA, and x 2equalsstudy time. Use both interpretations of Upper R squared as the reduction in prediction error and the percentage of the variability explained. CGPA;HSGPA;Study Time 3.31;3.90;6 3.12;3.80;2 3.62;3.02;4 3.53;3.91;3 3.48;3.58;5 3.76;3.21;3 3.50;3.79;3 2.79;3.17;7 2.88;3.52;5 3.26;3.79;5 3.55;3.89;5 3.48;3.81;6 3.96;3.99;10 2.59;3.30;4 3.50;3.67;10 3.96;3.88;3 3.75;3.48;3 3.66;3.93;3 3.76;4.00;5 3.91;3.51;3 3.10;3.77;2 3.14;3.90;7 3.79;3.50;7 3.68;3.79;4 3.85;3.98;3 3.29;3.48;4 3.12;2.55;11 2.97;3.82;5...
Q2). Distinguish between the following: a) Unbiasedness and Consistency b) R-squared and Adjusted R-squared c) The...
Q2). Distinguish between the following: a) Unbiasedness and Consistency b) R-squared and Adjusted R-squared c) The error term and residuals d) Type I and Type II errors Q3). Explain the term BLUE in ordinary least square (OLS) analysis.
Write the equation of the line. What is r? What is r squared? Using the equation...
Write the equation of the line. What is r? What is r squared? Using the equation of the line if x is 25 what is y? Using the equation of the line if y is 20 what is x. x 25 32 27 24 26 18 20 23 20 16 19 15 20 27 27 y 28 34 36 28 31 22 24 26 24 23 22 13 23 35 29
In regression results. what does the R-squared value tell you? What do the coefficients tell you?...
In regression results. what does the R-squared value tell you? What do the coefficients tell you? What do the P-values tell you? What does a Q-Q plot tell you? What do residuals tell you?
What can we expect to happen to R-squared and adjusted R-squared after including an additional explanatory variable to a regression?
What can we expect to happen to R-squared and adjusted R-squared after including an additional explanatory variable to a regression?O Both R-squared and adjusted R-squared will increase.O Both R-squared and adjusted R-squared will decrease.O R-squared will decrease but adjusted R-squared will increase.O R-squared will increase but adjusted R-squared will decrease.O More information is needed to answer.
** Use R for the following analysis. Use the BoneAcid.xlsx data to check what is causing...
** Use R for the following analysis. Use the BoneAcid.xlsx data to check what is causing the variation in the acid content in bones among 42 male skeletons from 2 cemeteries. The independent variables included are internment lengths, ages, depths, lime addition and contamination in soil. Variables/Columns Burial Site   (1 or 2) Internment Time (Years) Burial Depth (feet)    LimeAdded (at internment) (1=Yes, 0=No) Death_Age (Age of Person at the time of death) Acid Level (g/100g of bone) Contamination (In soil)...
Given two sets of data, A and B. i) Data set A has an r value...
Given two sets of data, A and B. i) Data set A has an r value of -.81 and data set B has an r value of .94 Describe the differences between the two data sets as completely as you can using the regression information we have learned. ii) Which linear regression equation, the one for A or the one for B, would probably be a better predictor? Why?
Consider the following data: Hint (sx = 3.9, sy = 41.5, r = 0.879) Height (Inches)...
Consider the following data: Hint (sx = 3.9, sy = 41.5, r = 0.879) Height (Inches) Weight (Pounds) 62 142 71 205 73 225 65 118 64 130 67 195 68 190 (a) Create a scatter plot of height (X-Axis) versus weight (Y-Axis) (b) Calculate the Coefficient of Correlation (c) Perform a test of the relationship: Ho: ρ= 0.0 with α = 0.05 (d) Estimate the slope of the Regression Line (e) Estimate the Y-Intercept (f) Calculate the Coefficient of...
QUESTION BLOCK: Linear Regression and R-squared If we know the value of b, the slope of...
QUESTION BLOCK: Linear Regression and R-squared If we know the value of b, the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot. True False For a biology project, you measure the weight in grams, and the tail length, in millimeters (mm), of a group of mice. The equation of the least-squares line for predicting tail length from weight is predicted tail length = 20 +3*weight Suppose a mouse...
QUESTION BLOCK: Linear Regression and R-squared If we know the value of b, the slope of...
QUESTION BLOCK: Linear Regression and R-squared If we know the value of b, the slope of the regression line, we can accurately guess the value for the correlation coefficient without looking at the scatterplot. True False For a biology project, you measure the weight in grams, and the tail length, in millimeters (mm), of a group of mice. The equation of the least-squares line for predicting tail length from weight is predicted tail length = 20 +3*weight Suppose a mouse...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT