f you are male, use the men’s heights and shoe sizes as your data.
If you are female, use the women’s heights and shoe sizes as your data.
Student # |
Gender |
Height |
Shoe |
Age |
Hand |
1 |
F |
68 |
8.5 |
20 |
R |
2 |
F |
60 |
5.5 |
27 |
R |
3 |
F |
64 |
7 |
31 |
R |
4 |
F |
67 |
7.5 |
19 |
R |
5 |
F |
65 |
8 |
20 |
R |
6 |
F |
66 |
9 |
29 |
R |
7 |
F |
62 |
9.5 |
30 |
L |
8 |
F |
63 |
8.5 |
18 |
R |
9 |
F |
60 |
5 |
19 |
L |
10 |
F |
63 |
7.5 |
42 |
R |
11 |
F |
61 |
7 |
20 |
R |
12 |
F |
64 |
7.5 |
17 |
R |
13 |
F |
65 |
8 |
19 |
R |
14 |
F |
68 |
8 |
19 |
R |
15 |
F |
63 |
7.5 |
18 |
R |
16 |
F |
62 |
7.5 |
19 |
R |
17 |
F |
64 |
7 |
23 |
R |
18 |
F |
72 |
11 |
28 |
R |
19 |
F |
62 |
8 |
20 |
R |
20 |
F |
59 |
6.5 |
29 |
R |
21 |
F |
64 |
8.5 |
19 |
R |
22 |
F |
68 |
9.5 |
23 |
R |
23 |
F |
65 |
9.5 |
34 |
R |
24 |
F |
63 |
8 |
27 |
R |
25 |
F |
65 |
8 |
23 |
R |
26 |
F |
62 |
7.5 |
30 |
R |
27 |
F |
67 |
7.5 |
31 |
L |
28 |
F |
66 |
9 |
37 |
R |
29 |
F |
61 |
6 |
24 |
R |
30 |
F |
61 |
6.5 |
46 |
R |
31 |
F |
68 |
8 |
20 |
R |
32 |
F |
63 |
7.5 |
42 |
R |
33 |
F |
63 |
5.5 |
33 |
R |
34 |
F |
58 |
5 |
20 |
R |
35 |
F |
65 |
8 |
44 |
R |
36 |
F |
69 |
9 |
28 |
R |
37 |
F |
68 |
9 |
20 |
R |
38 |
F |
63 |
7 |
49 |
R |
39 |
F |
62 |
6.5 |
19 |
R |
40 |
F |
66 |
7.5 |
19 |
R |
41 |
F |
69 |
7.5 |
55 |
R |
42 |
F |
69 |
11 |
40 |
R |
43 |
F |
63 |
6.5 |
19 |
R |
44 |
F |
61 |
7.5 |
20 |
R |
45 |
F |
68 |
9 |
19 |
R |
46 |
F |
65 |
9 |
25 |
R |
47 |
F |
62 |
7 |
31 |
R |
1. NOTE: Be sure to use the original, unsorted data for this problem.
Make a scatterplot on your calculator using the men’s/women’s heights as the x-variable and men’s/women’s shoe size as y-variable.
a. Is there an increasing or decreasing pattern? Explain what that means in terms of height and shoe sizes.
b. Calculate the correlation coefficient, r. (3 decimal places)
c. Calculate the regression equation. (Round to 3 decimal places.)
d. Use the equation to predict the shoe size (to nearest ½ size) for a man/woman who is 5 feet 7 inches tall.
2. Using the SCC men’s/women’s class sample data at the ?=0.05, is there enough evidence to conclude that there is a significant linear correlation between men’s/women’s height and men’s/women’s shoe size?
a. State the null and alternate hypotheses.
b. Specify the level of significance.
c. State the correlation coefficient. (3 decimal places)
d. State the critical value from Table 11. (Use the value of n that is closest to your sample size.)
e. State whether to “reject the ?0” or “fail to reject the ?0”.
f. Interpret the decision in the context of the original claim
30 | F | 61 | 6.5 | 46 | R | R Square | 0.540241231 | ||||||||
31 | F | 68 | 8 | 20 | R | Adjusted R Square | 0.53002437 | ||||||||
32 | F | 63 | 7.5 | 42 | R | Standard Error | 0.903712776 | ||||||||
33 | F | 63 | 5.5 | 33 | R | Observations | 47 | ||||||||
34 | F | 58 | 5 | 20 | R | ||||||||||
35 | F | 65 | 8 | 44 | R | ANOVA | |||||||||
36 | F | 69 | 9 | 28 | R | df | SS | MS | F | Significance F | |||||
37 | F | 68 | 9 | 20 | R | Regression | 1 | 43.18481503 | 43.18481503 | 52.87741545 | 4.03648E-09 | ||||
38 | F | 63 | 7 | 49 | R | Residual | 45 | 36.75135518 | 0.816696782 | ||||||
39 | F | 62 | 6.5 | 19 | R | Total | 46 | 79.93617021 | |||||||
40 | F | 66 | 7.5 | 19 | R | ||||||||||
41 | F | 69 | 7.5 | 55 | R | Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | ||
42 | F | 69 | 11 | 40 | R | Intercept | -12.673 | 2.812348305 | -4.50609809 | 4.6669E-05 | -18.33707758 | -7.008357074 | -18.33707758 | -7.008357074 | |
43 | F | 63 | 6.5 | 19 | R | Height | 0.318 | 0.043691295 | 7.271685874 | 4.03648E-09 | 0.229710585 | 0.405708154 | 0.229710585 | 0.405708154 | |
44 | F | 61 | 7.5 | 20 | R | ||||||||||
45 | F | 68 | 9 | 19 | R | ||||||||||
46 | F | 65 | 9 | 25 | R | ||||||||||
47 | F | 62 | 7 | 31 | R |
The scatter plot between men’s/women’s heights and men’s/women’s shoe size is given below,
Shoe Size = -12.673+0.318*Height
Shoe Size = -12.673+0.318*(5*12+7) = 8.63 = 8.5
f you are male, use the men’s heights and shoe sizes as your data. If you...
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