A large mail-order house believes that there is a linear relationship between th

Question

A large mail-order house believes that there is a linear relationship between the weight of the mail it receives and the number of orders to be filled. It would like to investigate the relationship in grder to predict the number of orders based on the weight of the mail. From an operational perspective, knowledge of the number of orders will help in the planning of the order-fulfilment process. A sample of 25 mail shipments is selected within a range of 200 to 700 pounds. The SPSS output is given below: Analysis of Variance Sum of Squares df Mean Square F Source Regression 437.644 Residual Total 12.116 Regression Analysis Model Constant Weight Coefficient Standard Error t-stat 0.191 0.030 0.475 0.403 0.001 a) Compute the t-statistic for weight. b) Interpret the coefficient for weight c) State the multiple regression equation. d) Predict the mean number of orders when the weight of the mail is 500 pounds e) Complete the ANOVA table. f) Compute and interpret the coefficient of multiple determination ) At the 0.0S level of significance, is there evidence of a linear relationship between the weight of mail and the number of orders received

Explanation / Answer

a) Compute the t- statistics for weight

t-statistics = 0.030 / 0.001 = 30

b) Interpret the coefficient for weight

If weight of the mail increases to 1 unit then then number orders increses 0.030 unit

c) regression model

Number order= 0.191 + 0.030* Weight

d) predict the number of orders weight =500

Number order= 0.191 + 0.030* 500

= 15.191

We will give you only 4 -bit solutions because of chegg rule

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