CCI Income ($1000) 37.415 116.8 (a) Determine the equation of the regression line used to predict the CCI from the median household 68.3 35.015 income 90.5 36.770 62.6 35.237 65.9 34.710 91.6 35.122 125.3 37.010 100.0 35.887 103.7 36.106 (b) What is the value of b,? Interpret its meaning in this problem (c) Conduct an appropriate test to decide whether median household income is a good predictor of CCI. Use the following ANOVA table: df MS F Source of Variability Regression Error SS 2872.32 1 2872.32 17.32 1160.89 7. 165.84 Total 4033.21 8.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 5PPS
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Can you please anwer all parts of the question. The Conference Board produces a Consumer Confidence Index (CCI) that reflects
people’s feelings about general business conditions, employment opportunities, and their own income prospects. Some researchers feel that  consumer confidence is a function of median household income. Shown here are CCIs for 9 years and median household incomes for the
same 9 years published by the U. S. Bureau of the Census.

Income ($1000).
CCI
116.8
37.415
(a) Determine the equation of the regression line
used to predict the CCI from the median household
68.3
35.015
income
90.5
36.770
62.6
35.237
65.9
34.710
91.6
35.122
125.3
37.010
100.0
35.887
103.7
36.106
(b) What is the value of b,? Interpret its meaning in this problem
(c) Conduct an appropriate test to decide whether median household income is a good predictor
of CCI. Use the following ANOVA table:
df
MS
F
Source of Variability
Regression
Error
SS
2872.32
2872.32
17.32
165.84
1160.89
4033.21
8.
Total
Transcribed Image Text:Income ($1000). CCI 116.8 37.415 (a) Determine the equation of the regression line used to predict the CCI from the median household 68.3 35.015 income 90.5 36.770 62.6 35.237 65.9 34.710 91.6 35.122 125.3 37.010 100.0 35.887 103.7 36.106 (b) What is the value of b,? Interpret its meaning in this problem (c) Conduct an appropriate test to decide whether median household income is a good predictor of CCI. Use the following ANOVA table: df MS F Source of Variability Regression Error SS 2872.32 2872.32 17.32 165.84 1160.89 4033.21 8. Total
2.
(a)Compute a one-way ANOVA on the following data (just show the ANOVA table, not the
calculation of the sums of squares)
Sample 1
25
Sample 2
23
29
27
31
25
29
23
30
28
27
27
28
23
Again, determine the F value and P- value and decide whether to reject Ho, using a = .05 (you
should have written both Ho and Ha at the beginning of the problem).
(b)Do at test for independent samples (variances assumed equal) on the data. What is the
relationship between the t value computed in (b) and the F value computed in (a)? What is the
relationship between the corresponding P values? How does your decision compare to that in
part (a)
(OVER)
Transcribed Image Text:2. (a)Compute a one-way ANOVA on the following data (just show the ANOVA table, not the calculation of the sums of squares) Sample 1 25 Sample 2 23 29 27 31 25 29 23 30 28 27 27 28 23 Again, determine the F value and P- value and decide whether to reject Ho, using a = .05 (you should have written both Ho and Ha at the beginning of the problem). (b)Do at test for independent samples (variances assumed equal) on the data. What is the relationship between the t value computed in (b) and the F value computed in (a)? What is the relationship between the corresponding P values? How does your decision compare to that in part (a) (OVER)
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