Question

A. (In picture)

B. Determine least squares regression equation from sample data.

C. Are there any outliers or influential observations?

D. Assume the residuals are normally distributed, test whether a linear relation exists between age and hdl levels at the 0.01 level of significance.

E. What is the p-value?

F. Reject null hypothesis? Why or why not?

G. Lower bound? Upper bound?

H. Good estimate for hdl cholesterol level of 42 year old male patient?

by the doctor is the in the data table below Complete parts (a) through ) below

Answer 1

Solution:

We have to solve this problem using the SPSS.

29963 3 150 19167711 566236 35 123456 7 8 9 10 11 12 13 14 15 16 17 18 19 8

Steps for linear regression:

first, we have to enter the data in the two column.

Go to Analyse -->Regression-->Linear-->Send Cholesterol as a dependent variable and age as an independent variable-->click on statistics and tick on the confidence interval, Estimates and model fit-->continue-->ok

Regression [DataSet0] Model Summary R Square 018 Adjusted R Square Std. Error of the Estimate 10.41220 135a .047 a. Predictors: (Constant), age ANOVAa Sum of Squares df Mean Square 30.027 108.414 Sig 30.027 1626.208 1656.235 606 Regression Residual Total 277 a. Dependent Variable: cholestrol b. Predictors: (Constant), age Coefficientsa Standardized Unstandardized CoefficientsCoefficients 95.0% Confidence Interval for B Lower Bound Upper Bound 68.374 311 Model Std. Error Beta Si (Constant) 49.052 -102 9.065 194 5.411 .526 29.731 .515 age .135 606 a. Dependent Variable: cholestrol

(a) The regression line :

Y=49.052-0.102 age

(b) There is no outliers in the data set.

cholestrol 70 60 50 40 30 20 cholestrol age 70 60 50 40 30 20 age

c) Using the output p-value is 0.606 is greater than the level of significance so we accept Ho.

So there is the positive linear relationship.

(d) P-value is = 0.606

(e) Using the output p-value is 0.606 is greater than the level of significance so we accept Ho.

f) The confidence interval is:

Coefficients Standardized Unstandardized Coefficients Coefficients Std. Error 95.0% Confidence Interval for B Lower Bound Upper Bound 68.374 311 Beta Sig 49.052 -102 a. Dependent Variable: cholestrol 9.065 194 5.411 .526 29.731 age 135 606 .515

(H) The r square is 0.018 so it is not a good estimate.

Cheers!!