An economist for the federal government is attempting to produce a better measure of poverty than...

An economist for the federal government is attempting to produce a better measure of poverty than is currently in use. To help acquire information, she recorded the annual household income (in $1,000s) and the amount of money spent on food during one week for a random sample of households.

Determine the regression line and interpret the coefficients.
Determine the coefficient of determination and describe what it tells you.
Conduct a test to determine whether there is evidence of a linear relationship between household income and food budget.
Predict the food budget of a family whose household income is $49,000. Use a 95% confidence level.
Estimate the average food budget of a family whose household income is $49,000. Use a 90% confidence level.

Income	Food
53	188.24
47	304.89
59	304.99
44	283.99
87	316.21
56	263.32
62	315.87
60	201.52
70	295.5
85	318.53
63	278.78
57	254.34
59	253.79
64	310.97
45	215.79
62	248.34
63	299.66
55	220.72
76	319.58
52	280.96
72	259.73
64	254.5
67	181.99
54	256.8
65	258.54
55	203.91
67	280.53
47	244.72
58	231.56
58	251.03
58	268.9
57	290.88
66	255.45
67	282.11
63	313.17
62	315.62
49	290.75
42	179.35
70	295.35
42	212.32
69	306.64
28	198.63
53	297.26
59	274.37
44	224.85
61	278.45
54	268.98
67	302.73
55	253.92
56	299.79
74	255.84
33	205.05
67	321.05
55	261.07
50	209.31
52	259.45
47	209.45
48	205.54
59	323.6
60	278.02
50	238.45
46	219.23
70	339.11
56	214.62
53	242.81
72	274.19
70	290.19
35	290.62
58	297.82
71	258.05
53	262.68
77	305.65
68	301.15
61	286.05
77	372.7
58	359.45
57	279.15
63	224.78
52	292.83
58	253.61
64	278.5
55	230.16
62	209.75
41	237.57
45	201.13
55	202.3
58	255.45
70	225.63
41	285.83
81	328.84
52	286.69
56	212.78
76	324.03
65	272.59
67	272.98
67	281.9
45	212.01
82	322.49
65	262.41
49	292.43
75	352.52
49	286.22
59	279.15
63	292.5
59	298.82
58	303.49
69	279.99
62	225.89
76	257.84
55	219.79
58	230.49
64	250.28
42	251.44
60	309.87
61	226.83
70	180.32
55	301.32
38	192.63
60	337.91
78	312.57
59	360.24
64	223.94
59	269.02
53	303.28
53	254.32
55	276.84
53	204.96
49	265.98
58	254.62
63	309.24
46	262.44
74	324.89
60	306.96
70	327.97
41	218
48	249.08
59	289.11
53	294.35
60	290.44
44	287.45

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orchestra answered 1 year ago

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