The table below reflects the actual and structural budget deficit as a percentage of GDP.

a. Graph the above data with “years” in the horizontal axis, and “deficit as % of GDP” in vertical axis.

b. From 2010 to 2014 the actual budget deficit is above the structural budget deficit. Explain why.

c. From 2016 to 2018 the actual budget deficit is below the structural budget deficit. Explain why.

d. Which period was the fiscal policy contractionary?

e. Which period was the fiscal policy expansionary?

Even though a nation’s GDP is small, if a small percentage of its population received a large percentage of that income:

1. it may be a good market for high-priced industrial products.
2. it may be a good market for high-volume, low-priced consumer products.
3. it may be a good market for low-volume, high-priced luxury products.
4. B and C.

If you hear that unemployment increased in the last year by 3.5 percentage points to 8 %it means: Multiple Choice 80 out of every 100 people who want a job can't find one. 35 out of every 100 people lost their job in the last year. 35 out of every 1,000 people lost their job in the last year. 8 out of every 1,000 people who want a job can't find one.

Which is the dominant form of hospital ownership in the U.S? What percentage of community beds were owned by for-profit, not-for-profit, and public hospitals recently? Rank the average for-profit, not-for-profit, and public hospital in terms of bed size. C. Within which particular bed size category do most hospitals operate?

Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.

​

Verify that S_e ≈ 4.443, a ≈ 22.133, b ≈ 0.396, and , ∑x = 453, ∑y = 312, ∑x² = 34,745, and ∑y² = 16,388, and find a 98% confidence interval for y when x = 81. Round your final answers to one decimal place.

ANSWERS

between 37.1 and 71.3

between 35.8 and 72.6

between 35.6 and 72.8

between 35.9 and 72.4

between 35.3 and 73.1

Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. x 87 88 70 84 78 76 y 53 57 50 51 46 50 Given that Se ≈ 3.054, a ≈ 16.547, b ≈ 0.425, and , find the predicted percentage of successful field goals for a player with x = 73% successful free throws. Select one: a. 47.6% b. 5.1% c. 14.5% d. 28.0% e. 31.0%

Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information

x 67 65 75 86 73 73

y 44 42 48 51 44 51

(a) Verify that Σ x = 439, Σ y = 280, Σ x² = 32,393, Σ y² = 13,142, Σ x y = 20,599, and r < 0.784. (b) Use a 5% level of significance to test the claim that r 7 0.

(c) Verify that Se < 2.6964, a < 16.542, b < 0.4117, and x < 73.167.

(d) Find the predicted percentage yˆ of successful field goals for a player with x = 70% successful free throws.

(e) Find a 90% confidence interval for y when x = 70.

(f) Use a 5% level of significance to test the claim that b 7 0.

(g) Find a 90% confidence interval for b and interpret its meaning.

Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.

(a) Verify that Σx=438, Σy=278, Σx²=32,264, Σy²=12,978, and Σxy=20,429. Find r. (Round r to three decimal places.)

(c) Find a, b, and x. (Round your answers to four decimal places.)

(d) Find the predicted percentage ŷ of successful field goals for a player with x = 80% successful free throws. (Round your answer to two decimal places.)
%

(f) Use a 5% level of significance to test the claim that β > 0. (Round your answers to two decimal places.) Hint 1: The standard error of b is 0.172428. Hint 2: Your answers to the t and critical t should have the same sign.

Conclusion

Reject the null hypothesis, there is sufficient evidence that β > 0.

Reject the null hypothesis, there is insufficient evidence that β > 0.

Fail to reject the null hypothesis, there is insufficient evidence that β > 0.

Fail to reject the null hypothesis, there is sufficient evidence that β > 0.

Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.

x 67 64 75 86 73 73

y 42 39 48 51 44 51

(a) Verify that Σx = 438, Σy = 275, Σx2 = 32264, Σy2 = 12727, Σxy = 20231, and r ≈ 0.827

(b) Use a 5% level of significance to test the claim that ρ > 0. (Round your answers to two decimal places.)

t

critical t

Conclusion Reject the null hypothesis, there is sufficient evidence that ρ > 0.

Reject the null hypothesis, there is insufficient evidence that ρ > 0.

Fail to reject the null hypothesis, there is insufficient evidence that ρ > 0.

Fail to reject the null hypothesis, there is sufficient evidence that ρ > 0.

(c) Verify that Se ≈ 3.1191, a ≈ 6.564, b ≈ 0.5379, and x ≈ 73.000.

Se

a

b

x bar

(d) Find the predicted percentage y hat of successful field goals for a player with x = 73% successful free throws. (Round your answer to two decimal places.)

% =

(e) Find a 90% confidence interval for y when x = 73. (Round your answers to one decimal place.)

lower limit % =

upper limit % =

(f) Use a 5% level of significance to test the claim that β > 0. (Round your answers to two decimal places.)

t

critical t

Conclusion

Reject the null hypothesis, there is sufficient evidence that β > 0.

Reject the null hypothesis, there is insufficient evidence that β > 0.

Fail to reject the null hypothesis, there is insufficient evidence that β > 0.

Fail to reject the null hypothesis, there is sufficient evidence that β > 0.

(g) Find a 90% confidence interval for β. (Round your answers to three decimal places.)

lower limit

upper limit

Interpret its meaning.

For every percentage increase in successful free throws, the percentage of successful field goals increases by an amount that falls within the confidence interval.

For every percentage increase in successful free throws, the percentage of successful field goals decreases by an amount that falls outside the confidence interval.

For every percentage increase in successful free throws, the percentage of successful field goals decreases by an amount that falls within the confidence interval.

For every percentage increase in successful free throws, the percentage of successful field goals increases by an amount that falls outside the confidence interval.

Thank you in advance!

Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.

(b) Use a 5% level of significance to test the claim that ρ > 0. (Round your answers to two decimal places.)

Conclusion

Reject the null hypothesis, there is sufficient evidence that ρ > 0.Reject the null hypothesis, there is insufficient evidence that ρ > 0.    Fail to reject the null hypothesis, there is insufficient evidence that ρ > 0.Fail to reject the null hypothesis, there is sufficient evidence that ρ > 0.

(c) Find S_e, a, b, and x. (Round your answers to four decimal places.)

(d) Find the predicted percentage ŷ of successful field goals for a player with x = 80% successful free throws. (Round your answer to two decimal places.)
%

(e) Find a 90% confidence interval for y when x = 80. (Round your answers to one decimal place.)

(f) Use a 5% level of significance to test the claim that β > 0. (Round your answers to two decimal places.)

Conclusion

Reject the null hypothesis, there is sufficient evidence that β > 0.Reject the null hypothesis, there is insufficient evidence that β > 0.    Fail to reject the null hypothesis, there is insufficient evidence that β > 0.Fail to reject the null hypothesis, there is sufficient evidence that β > 0.