A Linear Regression Analysis of Product

A Linear Regression Analysis of Product The researcher hypothesized that the time taken to polish a product depended on the size of the product. A linear regression analysis showed that the relationship was significant, F(1)= 54.87, p.001. There was a strong, positive, linear correlation between the size of the product and the polishing time, r=.70.Advertising We will write a custom assessment sample on A Linear Regression Analysis of Product specifically for you for only $16.05 $11/page Learn More As expected, the time taken to polish a product depended on the size of the product. A scatterplot (shown below) was produced to determine the suitability of the model, where the scatterplot of the two variables showed that a linear model was suitable in this situation. Figure 1: A scatter plot for time of polishing against diameter of product There is a linear, positive relationship between the time that is spent polishing a product and the size (diameter) of the product, as shown in the scatterplot. It means that one of the assumptions for carrying out a regression analysis has been met. Although there seem to be some outliers in the scatter plot, they cannot be considered as significant outliers. It implies that the regression equation can predict most of the values; thus, the regression model is sound. The R2 value of 0.49 indicates that 49% variability in time spent in polishing the product can be explained by the diameter of the product. Model Summaryb Model R R Square Adjusted R Square Std. Error of the Estimate 1 .700a .490 .482 13.69307 a. Predictors: (Constant), diam b. Dependent Variable: time The Model Summary Table gives two primary values; the R and the R-squared values (Carver Nash 2012). The R value of.70 shows that there is a strong, linear, positive correlation between the diameter of the product and polishing time. The R-squared value of.49 indicates that 49% variation in the time take to polish the product can be explained by the diameter of the product.Advertising Looking for assessment on math statistics? Let's see if we can help you! Get your first paper with 15% OFF Learn More ANOVAa Model Sum of Squares df Mean Square F Sig. 1 Regression 10287.173 1 10287.173 54.865 .000b Residual 10687.511 57 187.500 Total 20974.684 58 a. Dependent Variable: time b. Predictors: (Constant), diam The ANOVA table that is produced in the regression analysis provides values that help in showing how the regression equation fits the data (Johnson Kuby 2008). In this case, the ANOVA report provides information that helps in showing how well the regression equation predicts the time spent in polishing the product. The ANOVA report for the time of polishing and the diameter of the product shows that the regression model predicts the time spent on polishing the product significantly well because the F value is significant, p.05. In other words, the regression model is significance p=.001 and its fit for the data. Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. B Std. Error Beta 1 (Constant) -1.955 5.402 -.362 .719 Diam 3.457 .467 .700 7.407 .000 a. Dependent Variable: time The Coefficients table is necessary because it is a report that gives information that helps in predicting the dependent variable from the independent variable. In this case, the coefficients table gives information that helps in predicting the time to be taken to polish the product from the diameter of the product. The table also helps in determining whether the independent variable contributes to the model in a statistically significant manner (Linear Regression Analysis on SPSS 2015). In this case, the diameter of the product contributes to the model significantly as the B value is significant, B=.564, p.05. The regression equation is derived from the coefficients table, where the dependent variable= B value of the constant+ B of the independent variabl e*independent variable i.e. Time of polishing = -1.955+ 3.457(diameter). The residuals statistics are values of the regression line, which help to determine whether the errors are near normal distribution. The residuals, also known as the errors, are the differences between the observed values and the predicted value of the dependent variable (Weinberg Abramowitz 2008). The errors in the time for polishing represent the instant analysis. In the present scenario, the errors are not large, meaning that the model is suitable for the data.Advertising We will write a custom assessment sample on A Linear Regression Analysis of Product specifically for you for only $16.05 $11/page Learn More The histogram helps in determining whether the data observes normal distribution. In other words, it checks the normal distribution of the data, which is one of the assumptions that are taken when conducting a regression analysis (IDRE 2015). In the present scenario, the his togram shows that the data largely observes normal distribution, as the data that lies on the left side of 0 is the same as that on the right side of 0. The normal distribution presented by the histogram shows that the regression model is suitable for this data, as it is one of the assumptions that should be met prior to conducting a linear regression analysis. Figure 2: A histogram with a standard curve showing the distribution of polishing time The results of the regression analysis can be used to improve the operational efficiency of Nambe Mills and reduce the operations cost. Nambe Mills can lessen the time by making products of smaller sizes, given that the time of polishing increases as the product size increase. This would save time and resources employed in polishing the product and channel the resources into other areas of operations. The company could assign more personnel to the role of polishing the products that are larger in size, given that they take more time to pol ish. The company can use the regression equation, Time of polishing = -1.955+ 3.457(diameter), to determine how much time it would require polishing any given item. Reference List Carver, R Nash, J 2012, Doing data analysis with SPSS: Version 18.0, Boston, MA, Brooks/Cole Cengage Learning.Advertising Looking for assessment on math statistics? Let's see if we can help you! Get your first paper with 15% OFF Learn More IDRE 2015, Regression with SPSS. Web. Johnson, R Kuby, P 2008, Elementary statistics: Enhanced review edition, 10th ed., Thomson Learning, Inc, Boston, MA. Linear Regression Analysis on SPSS 2015. Web. Weinberg, SL Abramowitz, SK 2008, Statistics using SPSS: An integrative approach, 2nd ed., Cambridge University Press, Cambridge, MA.

140 Characters Twitter Fiction and the Art of Concise Writing

140 Characters Twitter Fiction and the Art of Concise Writing Plenty of people want to become writers, but feel that they simply don’t have the time to commit to writing even a short story. With all the interruptions of the digital age (to say nothing of family and work obligations), finding time to write really can be a challenge. It’s so easy to get frustrated with your writing when you’re just starting out; so hard to not be discouraged These days, there are plenty of ways an aspiring writer can hone their craft and add publication credits to their resume at the same time. And one of the very best ways is to write Twitter-sized tales. These short stories are 140 characters or less (including spaces), and pack a surprising emotional punch. Despite the limitations of the form, skilled Twitter fiction writers are able to make readers laugh, cry, or shiver as they build worlds and introduce characters. Twitter is home to several communities of avid writers and readers, and they are passionate about promoting great 140-character stories. There’s no hard and fast rule about what makes a great Twitter tale. Some stories focus on just a moment’s worth of action, while others span thousands of years in just two sentences. Many are humorous, but plenty more are heart-breaking. The form forces you to choose words precisely, and to cut out any extraneous information. More often than not, the title of the work gives the reader enough framing to understand the events in your story. So, what do you do after you’ve completed your little tale? The most obvious thing to do is post it on your own Twitter account, to share with your own followers. If you can spare the space, adding hashtags to your story will enable other Twitter fiction fans to find it more easily. Hashtags to consider include #vss (which stands for â€Å"very short story†), #nanofiction, or #fiction. Another hashtag is #lqw, which designates that the story contains the word of the day as designated There are also dozens of Twitter accounts for websites that publish only 140-character stories. Some of the most notable are @OneFortyFiction, @seedpodpub, @sixwordstories, @twitterfiction, @7Ãâ€"20, and @trapezemag, all of which are unpaid markets. @Nanoism is a paying Twitter fiction market, which publishes three times a week and pays between $1.50 and $1 for stories: not bad, given the brevity of the form. Serialized Twitter fiction is paid out at a higher rate. @thaumatrope and @tweetthemeat also pay to publish other people’s Twitter stories, though both markets are currently on hiatus. In short: keep on writing, and keep your eyes peeled for opportunities to grow your fan base. Depending on where you choose to publish your stories, your work may be exposed to thousands of people. In addition, there are often contests being held on Twitter But beyond the accolades and the prizes, the best thing about writing Twitter fiction is how it can improve your writing. With practice, this shortest of short story forms can help even the most verbose of writers to develop a clear, clean, and concise style. And that’s a skill that will benefit any writer as they begin work on longer projects.