1.) Since we've determined there is linear correlation between head circumference and brain volume from the output on the TI83/84 what is "a" the y-intercept of the regression line? A. a=.508 B. a=34.740 C. a=-110.572 D. a=-823.829 2. Since we've determined there is linear correlation between head circumference and brain volume from the output on the T183/84 what is "b" the slope of the regression? A. b=34.740 B. b=.508 C. b=110.572 D. b=823.829 E. b=-823.829 3. Since we've determined there is linear correlation between head circumference and brain volume from the output on the TI83/84 what is the regression equation? A. В. С. D.
1.) Since we've determined there is linear correlation between head circumference and brain volume from the output on the TI83/84 what is "a" the y-intercept of the regression line? A. a=.508 B. a=34.740 C. a=-110.572 D. a=-823.829 2. Since we've determined there is linear correlation between head circumference and brain volume from the output on the T183/84 what is "b" the slope of the regression? A. b=34.740 B. b=.508 C. b=110.572 D. b=823.829 E. b=-823.829 3. Since we've determined there is linear correlation between head circumference and brain volume from the output on the TI83/84 what is the regression equation? A. В. С. D.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
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Concept explainers
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
Transcribed Image Text:A researcher interested in determining if there is an association between head
circumference and brain volume tested for linear correlation at the a= 0.05
significance level. She took a random sample of twenty adults and measured
the head circumference and brain volume (using ultrasound) for each person in
the sample. The table above gives the paired data for the twenty adults. The
researcher determined there is positive linear correlation between head
circumference and brain volume at the 0.05 level of significance. With that
information answer the following questions.
1.) Since we've determined there is linear correlation between head
circumference and brain volume from the output on the TI83/84 what is "a" the
y-intercept of the regression line?
A. a=.508
B. a=34.740
C. a=-110.572
D. a=-823.829
2. Since we've determined there is linear correlation between head
circumference and brain volume from the output on the T183/84 what is "b" the
slope of the regression?
A. b=34.740
B. b=.508
C. b=110.572
D. b=823.829
E. b=-823.829
3. Since we've determined there is linear correlation between head
circumference and brain volume from the output on the TI83/84 what is the
regression equation?
А.
В.
С.
D.
y=-34.740+823.740x y^=-.508+110.572x y^=-823.829+34.740x y^=-110.572+.508x
4. Since we've determined there is linear correlation between head
circumference and brain volume from the output on the TI83/84 use the
regression equation to estimate the brain volume of an adult with a head
circumference of 56.
A. 1097
B. 1122
С. 1568
D. 1235
Transcribed Image Text:Head
Circumference
Brain
Head
Brain
Volume
Volume
Circumference
54.7
1005
57.2
1173
54.2
963
57.2
1079
53
1035
57.2
1067
52.9
1027
57.2
1104
57.8
1281
55.8
1347
56.9
1272
57.2
1439
56.6
1051
57.2
1029
55.3
1079
56.5
1100
53.1
1034
59.2
1204
54.8
1070
58.5
1160
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