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

Year Welfare family size

1969 4.0

1973 3.6

1975 3.2

1979 3.0

1983 3.0

1988 3.0

1991 2.9

Part (a)

Using "Year" as the independent variable and "Welfare family size" as the dependent variable, make a scatter plot of the data.

Part (b)

Calculate the least squares line. Put the equation in the form of:
ŷ = a + bx.
(Round your answers to three decimal places.)
ŷ =  +  x

Part (c)

Find the correlation coefficient r. (Round your answer to four decimal places.)
r =

Is it significant?
YesNo

Part (d)

Find the estimated welfare family size in 1971. (Use your equation from part (b). Round your answer to one decimal place.)
people

Find the estimated welfare family size in 1990. (Use your equation from part (b). Round your answer to one decimal place.)
people

Part (e)

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

Part (f)

Based on the above data, is there a linear relationship between the year and the average number of people in a welfare family?
Yes or No?

Part (g)

Using the rounded least squares line, estimate the welfare family sizes for 1960 and 1995. (Use your equation from part (b). Round your answer to one decimal place.)

1960     people

1995     people

Does the least squares line give an accurate estimate for those years? Explain why or why not.

Yes, we can estimate the welfare family size for any year using the least squares line.

No, the years are outside the domain of 1969 to 1991.

Part (h)

Are there any outliers in the above data?

Yes, (1969, 4.0) is an outlier.

Yes, (1991, 2.9) is an outlier.

Yes, (1969, 4.0) and (1991, 2.9) are outliers.

No, there are no outliers.

Part (i)

What is the estimated average welfare family size for 1984? (Use your equation from part (b). Round your answer to one decimal place.)
people

Does the least squares line give an accurate estimate for that year? Explain why or why not.

The estimate is not accurate because it is much lower than the observed values in 1983 and 1988.

The estimate is accurate because it follows the linear trend of the data set and falls within the domain of the data.

The estimate is not accurate because it falls outside the domain.

The estimate is not accurate because it does not follow the linear trend.

Part (j)

What is the slope of the least squares (best-fit) line? (Round your answer to three decimal places.)

Interpret the slope.
As the ( ---Select---)increases by one, the (---Select---) decreases by  .

Select either year or size of the welfare

Question

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

Year	Welfare family size
1969	4.0
1973	3.6
1975	3.2
1979	3.0
1983	3.0
1988	3.0
1991	2.9

Part (a)

Using "Year" as the independent variable and "Welfare family size" as the dependent variable, make a scatter plot of the data.
Part (b)

Calculate the least squares line. Put the equation in the form of:
ŷ = a + bx.
(Round your answers to three decimal places.)
ŷ = + x
Part (c)

Find the correlation coefficient r. (Round your answer to four decimal places.)
r =

Is it significant?
YesNo
Part (d)

Find the estimated welfare family size in 1971. (Use your equation from part (b). Round your answer to one decimal place.)
people

Find the estimated welfare family size in 1990. (Use your equation from part (b). Round your answer to one decimal place.)
people
Part (e)

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

Based on the above data, is there a linear relationship between the year and the average number of people in a welfare family?
Yes or No?

Part (g)

Using the rounded least squares line, estimate the welfare family sizes for 1960 and 1995. (Use your equation from part (b). Round your answer to one decimal place.)

1960	people
1995	people

Does the least squares line give an accurate estimate for those years? Explain why or why not.

Yes, we can estimate the welfare family size for any year using the least squares line.
No, the years are outside the domain of 1969 to 1991.

Part (h)

Are there any outliers in the above data?

Yes, (1969, 4.0) is an outlier.
Yes, (1991, 2.9) is an outlier.
Yes, (1969, 4.0) and (1991, 2.9) are outliers.
No, there are no outliers.

Part (i)

What is the estimated average welfare family size for 1984? (Use your equation from part (b). Round your answer to one decimal place.)
people

Does the least squares line give an accurate estimate for that year? Explain why or why not.

The estimate is not accurate because it is much lower than the observed values in 1983 and 1988.
The estimate is accurate because it follows the linear trend of the data set and falls within the domain of the data.
The estimate is not accurate because it falls outside the domain.
The estimate is not accurate because it does not follow the linear trend.

Part (j)

What is the slope of the least squares (best-fit) line? (Round your answer to three decimal places.)

Interpret the slope.
As the ( ---Select---)increases by one, the (---Select---) decreases by .

Select either year or size of the welfare

Accepted Answer

Year(x)
Welfare(y)
xy
x2
y2

1969
4
7876
3876961
16

1973
3.6
7102.8
3892729
12.96

1975…