3.3.1 Interpret the output depicted in in 3.3 above. 3.3.2 Specify the reason(s) for the low Goodness of Fit of the multiple regression model and recommend a potential solution. 3.3.3 Briefly explain the role of literature review in the process of identifying predictor variables for the multiple regressin model and how it minimises selection bias.

The age (in weeks) and the number of hours slept in a day were recorded for arandom sample of 8 infants.Age (in weeks) 5 10 15 22 26 36 42 47Hours slept ina day14.9 14.5 14.7 14.2 13.4 14.1 13.4 13.7(a) Find the regression line that predicts the number of hours an infant sleeps ina day based on its age (in weeks).(b) How well does the regression line fit the data? Use words and statistics tosupport your answer.(c) Predict the number of hours that a 30-week-old infant would sleep in a day.Use words to state your answer.

An engineer wants to determine how the weight of a​ gas-powered car,​ x, affects gas​ mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts​ (a)  Find the​ least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.

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Show calculations or explanation for each question. a)  Which of the following techniques is used to predict the value of one variable on thebasis of other variables?a. Correlation analysisb. Coefficient of correlationc. Covarianced. Regression analysis b) In the least squares regression line, y^=3-2x the predicted value of y equals:a. 1.0 when x = −1.0b. 2.0 when x = 1.0c. 2.0 when x = −1.0d. 1.0 when x = 1.0 c) In the simple linear regression model, the y-intercept represents the:a. change in y per unit change in x.b. change in x per unit change in y.c. value of y when x = 0.d. value of x when y = 0.

The data from exercise 3 follow. xi 2   6 9 13 20 yi 7 18 9 26 23 The estimated regression equation is  = 7.6 + .9x. What is the value of the standard error of the estimate (to 4 decimals)?  What is the value of the t test statistic (to 2 decimals)? What is the p-value? Use Table 1 of Appendix B.Selectless than .01between .01 and .02between .02 and .05between .05 and .10between .10 and .20between .20 and .40greater than .40Item 3 What is your conclusion ( = .05)?SelectConclude a significant relationship exists between x and yCannot conclude a significant relationship exists between x and yItem 4  Use the F test to test for a significant relationship. Use  = .05.Compute the value of the F test statistic (to 2 decimals). What is the p-value?Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 6 What is your conclusion?SelectConclude a significant relationship exists between x and yCannot conclude a significant relationship exists…

An administrator wants to investigate the relationship between the numbers of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees.  A sample of 10 employees was chosen, and the following data were collected. Distance to Work (miles) 2 4 6 6 9 8 10 12 12 15 Number of Days Absent 8 5 8 6 6 4 6 3 5 3 Develop the least square regression line to predict the number of days absent based on the distance to work. Enter the regression coefficients in xx.xxx format.  Round the value to three decimals and use leading and trailing zero to exactly match the format.  Include the negative sign (minus sign) if the coefficient is negative. Do not include plus sign in your response.  For example, if the coefficient is +6.1563 then enter 06.156 as your answer, if the coefficient is -0.54765 then enter -00.548 and if the answer is -1.6435 then enter -01.644 Ŷ=b0+b1X Constant/intercept…