What is the predicted cholesterol level

Q2 Regression- What is the predicted cholesterol level?

Given the data presented in Discussion Question 1 for this week, determine the cholesterol level of someone who drank two and a half cups of coffee a day. To get the answer, plot a regression line in StatCrunch and post your answers from StatCrunch for the following:

a) What is the intercept? (or –what would be your cholesterol level while ingesting no caffeine?)

The intercept is 665.71429

b) What is the slope? (or, what is what we call b in the linear regression equation?)

The slope is -0.69892857

c) What is the cholesterol level of someone who drank two and a half cups of coffee a day (given that 1 cup of coffee equals 100 mg of caffeine)?

The cholesterol level of someone who drank two and a half cups of coffee a day would be 490.98 mg/dL.

Simple linear regression results:

Dependent Variable: Cholesterol level (mg/dL)

Independent Variable: caffeine (mg) 

Cholesterol level (mg/dL) = 665.71429 - 0.69892857 caffeine (mg)

Sample size: 7

R (correlation coefficient) = -0.72796194

R-sq = 0.52992859

Estimate of error standard deviation: 155.77582

Parameter estimates:

Parameter

Estimate

Std. Err.

Alternative

DF

T-Stat

P-value

Intercept

665.71429

131.6546

≠ 0

5

5.0565213

0.0039

Slope

-0.69892857

0.29438863

≠ 0

5

-2.3741697

0.0636

Analysis of variance table for regression model:

Source

DF

SS

MS

F-stat

P-value

Model

1

136780.32

136780.32

5.6366817

0.0636

Error

5

121330.54

24266.107

   

Total

6

258110.86

     

Predicted values:

X value

Pred. Y

s.e.(Pred. y)

95% C.I. for mean

95% P.I. for new

250

490.98214

73.597159

(301.79463, 680.16965)

(48.105541, 933.85874)

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