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The average number of people in a family that received welfare for various years is given...

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Basic Math

The average number of people in a family that received welfarefor various years is given below.

YEARWelfare family size
19694.0
19733.6
19753.2
19793.0
19833.0
19883.0
19912.9

y=88.721+ -0.043x

part d.

Find the estimated welfare family size in 1970. (Use yourequation from part (b). Round your answer to one decimal place.)_______ people.

Find the estimated welfare family size in 1989. (Use yourequation from part (b). Round your answer to one decimalplace.)
_______  people.

Use the two points in part (d) to plot the least squares line.(Upload your file below.)

Answer & Explanation Solved by verified expert
4.0 Ratings (424 Votes)

Given that y = 88.721+ -0.043x

x = 1970 then

y = 88.721+ -0.043 ( 1970 ) = 4.0

x = 1989 then

y = 88.721+ -0.043 ( 1989 ) = 3.2

Now the new data is

Year Welfare family size
1969 4
1973 3.6
1975 3.2
1979 3
1983 3
1988 3
1991 2.9
1970 4
1989 3.2

for above data regression output is

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.834705358
R Square 0.696733035
Adjusted R Square 0.653409183
Standard Error 0.256241497
Observations 9
ANOVA
df SS MS F Significance F
Regression 1 1.055937622 1.055938 16.08197 0.005122786
Residual 7 0.459617934 0.06566
Total 8 1.515555556
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 88.52892788 21.24748909 4.16656 0.004207 38.28659991 138.77126
X Variable 1 -0.043040936 0.010732775 -4.01023 0.005123 -0.068419916 -0.017662

from above output now regression equation is

Welfare family size = 88.529 + (- 0.043 year )
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