The following data give the percentage of women working in five companies in the

Question

The following data give the percentage of women working in five companies in the retail and trade industry. The percentage of management jobs held by women in each company is also shown.

b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
- Select your answer -Positive linear relationshipNegative linear relationshipItem 2

c. Develop the estimated regression equation by computing the values b0 and b1.

Enter negative values as negative numbers. Round your answers to one decimal place.
=   +   x

d. Predict the percentage of management jobs held by women in a company that has 60% women employees. Round your answers to nearest whole value.
  %

%Working 68 46 73 54 61 %Management 49 22 65 48 33

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: % Management
Independent Variable: % Working
% Management = -32.840069 + 1.2622528 % Working
Sample size: 5
R (correlation coefficient) = 0.82643995
R-sq = 0.68300299
Estimate of error standard deviation: 10.708333

Parameter estimates:

Analysis of variance table for regression model:

Predicted values:

Hence,

a) Scatter Diagram C is correct.

b) Positive linear relationship

c) Regression equation:

y = - 32.8 + 1.3 x

d) For x = 60, y = 43

So the answer is 43 %

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept -32.840069 30.36739 0 3 -1.0814255 0.3587 Slope 1.2622528 0.49648027 0 3 2.5424027 0.0845

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