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.

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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: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
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
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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