Information of correlation and regression

Reference no: EM1397174

Archaeopteryx is an extinct beast having feathers like a bird but teeth and a long bony tail like a reptile. Five fossil specimens have preserved both the femur and humerus bones. The measurements (in centimeters) for each bone are given below.

Femur 38 56 59 64 74

Humerus 41 63 70 72 84

Scientists are interested in determining if there is a strong relationship between two lengths of the two bones so that they might be persuaded that the five specimens belong to the same species. The Minitab output for regression is provided below.

MINITAB--Regression

The regression equation is humerus = -3.66 +1.20*femur

Predictor Coef StDev T P

Constant -3.660 4.459 -0.82 0.472

femur 1.19690 0.07509 15.94 0.0001

S=1.982 R-Sq = 98.8% R-Sq(adj) = 98.4%

Analysis of Variance

Source DF SS MS F P

Regression 1 998.21 998.21 254.10 0.001

Residual Error 3 11.79 3.93

Total 4 1010.00

a) Make a scatterplot of the data with femur length as the predictor variable

b) What is the scope of the regression equation?

c) What is the correlation coefficient, r?

d) Predict the length of a humerus for a fossil specimen with a femur that is 45 cm long.

e) Does the data suggest that the length of a femur and the length of a humerus are positively correlated? Test at the 0.01 level of significance. Be sure to explain your reasoning.

Reference no: EM1397174

Questions Cloud

Is it courageous to act as luther : Martin Luther wrote, "I would never have thought that such storm would rise from Rome over one simple scrap of paper". Do you think you would have courage to act as Luther did?

Compare and contrast functional classifications of joints : In general compare and contrast the three functional classifications of joints according to movement. What are two characteristics that make synovial joints unique and different from other joints?

Decide the boiling points comparison : Give explanation for arrangements how you decide the boiling points comparison - Arrange all these compounds in order of increasing boiling points

Estimate the chance that the sum will be positive : You are asked to estimate the chance that the sum will be positive.

Information of correlation and regression : Archaeopteryx is an extinct beast having feathers like a bird but teeth and a long bony tail like a reptile. Five fossil specimens have preserved both the femur and humerus bones. The measurements (in centimeters) for each bone are given below.

Calculate the free energy of transport : There is a stable pH and electrical potential difference across the mitochondrial membrane in actively respiring cells. The pH of the cytoplasm is 6.8, the pH of the mitochondrial matrix.

Determine length of oligonucleotide : In general, what length of oligonucleotide would be sufficient to amplify a single unique sequence that is, what would the minimum length have to be in order for the oligonucleotide sequence

Write down the electron configuration of the b+ ion : Write down the electron configuration of the B+ ion using the noble gas core notation and What you will expect for the molecular formula, C7H6O2( Benzoic acid) if Determination of The molar mass of benzoic acid

The dna genomes of which two cells will be the most similar : The DNA genomes of which two cells will be the most similar.

User Account

All Pages