Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below. a. Interpret the meaning of the Y-intercept, bo. Choose the correct answer below. O A. The Y-intercept, bo = 8, implies that when the value of X is 0, the mean value of Y is 8. O B. The Y-intercept, bo = 8, implies that the average value of Y is 8. OC. The Y-intercept, bo =8, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units. OD. The Y-intercept, b, =2, implies that when the value of X is 0, the mean value of Y is 2. b. Interpret the meaning of the slope, b,. Choose the correct answer below. O A. The slope, b, =2, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 2 units. O B. The slope, b; =2, implies that the average value of Y is 2. Oc. The slope, b, = 8, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units. O D. The slope, b, =2, implies that for each increase of 1 unit in X, the value of Y is expected to decrease by 2 units. c. Determine the preredicted value of Y for X=3. The predicted value is Y, =O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below.
ŷ; = 8+ 2X,
a. Interpret the meaning of the Y-intercept, bo. Choose the correct answer below.
O A. The Y-intercept, bo = 8, implies that when the value of X is 0, the mean value of Y is 8.
O B. The Y-intercept, b, = 8, implies that the average value of Y is 8.
OC. The Y-intercept, bo = 8, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units.
O D. The Y-intercept, bo = 2, implies that when the value of X is 0, the mean value of Y is 2.
b. Interpret the meaning of the slope, b,. Choose the correct answer below.
O A. The slope, b, = 2, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 2 units.
O B. The slope, b, = 2, implies that the average value of Y is 2.
Oc. The slope, b, = 8, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units.
O D. The slope, b, = 2, implies that for each increase of 1 unit in X, the value of Y is expected to decrease by 2 units.
c. Determine the preredicted value of Y for X= 3.
The predicted value is Y =O
Transcribed Image Text:Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below. ŷ; = 8+ 2X, a. Interpret the meaning of the Y-intercept, bo. Choose the correct answer below. O A. The Y-intercept, bo = 8, implies that when the value of X is 0, the mean value of Y is 8. O B. The Y-intercept, b, = 8, implies that the average value of Y is 8. OC. The Y-intercept, bo = 8, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units. O D. The Y-intercept, bo = 2, implies that when the value of X is 0, the mean value of Y is 2. b. Interpret the meaning of the slope, b,. Choose the correct answer below. O A. The slope, b, = 2, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 2 units. O B. The slope, b, = 2, implies that the average value of Y is 2. Oc. The slope, b, = 8, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units. O D. The slope, b, = 2, implies that for each increase of 1 unit in X, the value of Y is expected to decrease by 2 units. c. Determine the preredicted value of Y for X= 3. The predicted value is Y =O
GDP and Social Media Usage Data
GDP (PPP) Social media e
usage (%)
67
Country
18,084
15,831
1
2
56
3
6120
46
4
6557
44
9940
40
15,263
40
17,523
48
4665
34
9
9828
56
10
5183
22
11
18,580
69
12
19,100
13,586
12,120
15,615
66
13
59
14
50
15
44
16
5281
46
17
7501
29
18
11,527
44
19
2820
32
20
3544
26
21
1856
37
22
2065
35
23
3137
7
24
1473
12
Print
Done
567 co
Transcribed Image Text:GDP and Social Media Usage Data GDP (PPP) Social media e usage (%) 67 Country 18,084 15,831 1 2 56 3 6120 46 4 6557 44 9940 40 15,263 40 17,523 48 4665 34 9 9828 56 10 5183 22 11 18,580 69 12 19,100 13,586 12,120 15,615 66 13 59 14 50 15 44 16 5281 46 17 7501 29 18 11,527 44 19 2820 32 20 3544 26 21 1856 37 22 2065 35 23 3137 7 24 1473 12 Print Done 567 co
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