4 Let f(x, y) = x² + 2y* + 32xy List the critical points: Preview The critical point at the origin is a Select an answer v The critical point with positive x value is a Select an answer

Breakfast cereals We saw in Chapter 7 that the calorie con-tent of a breakfast cereal is linearly associated with its sugar content. Is that the whole story? Here’s the output of aregression model that regresses Calories for each serving onits Protein(g), Fat(g), Fiber(g), Carbohydrate(g), andSugars(g) content.Dependent variable is CaloriesR-squared = 84.5, R-squared (adjusted) = 83.4,s = 7.947 with 77 - 6 = 71 degrees of freedomSource Sum ofSquares dfMeanSquare F-RatioRegression 24367.5 5 4873.50 77.2Residual 4484.45 71 63.1613Variable Coefficient SE(Coeff) t-Ratio P-ValueIntercept 20.2454 5.984 3.38 0.0012Protein 5.69540 1.072 5.32 60.0001Fat 8.35958 1.033 8.09 60.0001Fiber -1.02018 0.4835 -2.11 0.0384Carbo 2.93570 0.2601 11.3 60.0001Sugars 3.31849 0.2501 13.3 60.0001Assuming that the conditions for multiple regressionare met,a) What is the regression equation?b) Do you think this model would do a reasonably goodjob at predicting calories? Explain.c) To check the conditions, what…

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True or False and explain: 1. False positive error: when we conclude a non-zero slope in case there is no actual linear relationship exists.

Do single-parent families tend to be more impoverished than families with two parents? In order to test if there is a relationship between family structure and family income level, family researcher studied a sample of 35 one-parent and 65 two-parent families in a particular city to determine whether their total family income fell below the poverty level. _________________________Family Structure____________________________ Total family Income               One Parent                  Two Parents                TOTAL Below poverty level                      24                                      20                        44     Not Below Poverty Level                                            11                                      45                         56 Total                                            35                                      65                        100 What are the independent and dependent variables.? What is the null hypothesis? What test should we use?…

etermine whether the data are qualitative or quantitative and determine the level of mea- surement. Explain your reasoning. (a) The years in which the LA Lakers won the NBA championship (for example, 2020). ¥Circle one: Quantitative Qualitative ¥Level of measurement: ¥Explain your reasoning: (b) A collection of zip codes. ¥Circle one: Quantitative Qualitative ¥Level of measurement: ¥Explain your reasoning: (c) Today’s temperature in degrees Fahrenheit. ¥Circle one: Quantitative Qualitative ¥Level of measurement: ¥Explain your reasoning:

A pattern in a residual plot indicates that a linear model__________ a good fit.  a) is b)  is not

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Do single-parent families tend to be more impoverished than families with two parents? In order to test if there is a relationship between family structure and family income level, family researcher studied a sample of 35 one-parent and 65 two-parent families in a particular city to determine whether their total family income fell below the poverty level. _________________________Family Structure____________________________ Total family Income               One Parent                  Two Parents                TOTAL Below poverty level                      24                                      20                        44     Not Below Poverty Level                                            11                                      45                         56 Total                                            35                                      65                        100 What are the independent and dependent variables.? What is the null hypothesis? What test should we use?…

Critically examine in detail the relationship between critical value and test value in hypothesis testing.give three different examples one for each in relation to types of test to be conducted.graphically show your answer.