Question 1 Your answer is partially correct. Try again. The table below gives th

Question

Question 1 Your answer is partially correct. Try again. The table below gives the points scored on a word game by years of education of the player. Years of Education, x 8 11 1215 16 Game Score, y 212 215 224|227 236 a) Find the least-squares regression line for these data. Interpret the slope. Round your coefficients to 2 decimal places. 2.83 y = kx + b, where k and b 187.77 The slope means that for every extra year of education, a player can expect to score more points. b) Estimate to 2 decimal places the variance of the estimators. The variance isL

Explanation / Answer

Answer:

Regression Analysis

r²

0.887

n

5

r

0.942

k

1

Std. Error

3.739

Dep. Var.

y

ANOVA table

Source

SS

df

MS

F

p-value

Regression

328.8583

1  

328.8583

23.52

.0167

Residual

41.9417

3  

13.9806

Total

370.8000

4  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=3)

p-value

95% lower

95% upper

Intercept

187.7670

7.4143

25.325

.0001

164.1713

211.3627

x

2.8252

0.5825

4.850

.0167

0.9714

4.6791

variance of the estimator = 13.98

Regression Analysis

r²

0.887

n

5

r

0.942

k

1

Std. Error

3.739

Dep. Var.

y

ANOVA table

Source

SS

df

MS

F

p-value

Regression

328.8583

1  

328.8583

23.52

.0167

Residual

41.9417

3  

13.9806

Total

370.8000

4  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=3)

p-value

95% lower

95% upper

Intercept

187.7670

7.4143

25.325

.0001

164.1713

211.3627

x

2.8252

0.5825

4.850

.0167

0.9714

4.6791

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