Below is a scatter plot with both a linear model and an exponential model for a group's data set for rolling 6-sided dice.
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- A recent experiment included measuring the weight of a package of raw almonds. This type of data would be considered a: Discrete variable or Continuous variable?Pa.n.nDetermine whether the study depicts an observational study or an experiment. A scientist was studying the effects of a new fertilizer on crop yield. She randomly assigned half of the plots on a farm to group one and the remaining plots to group two. On the plots in group one, the new fertilizer was used for a year. On the plots in group two, the old fertilizer was used. At the end of the year the average crop yield for the plots in group one was compared with the average crop yield for the plots in group two.
- Jim and Larry run a soup stand. The data below represents the sales of soup that they had on 8 randomly selected days, along with the high temperature on that day. a) Create a scatter diagram for this data set and comment on whether there is a positive or negative relationship between these variables.b) Calculate the correlation coefficient between temperature and sales.c) Does a linear relationship exist between these variables? Explain to me why or why not this is the case.d) Using excel, calculate the least squares regression equation for this data set. e) Using your equation, predict the soup sales on a day where the temperature is 29 degrees.f) Interpret the slope of this equation.g) Can we use this data set and regression equation to predict the sales on a day when the average temperature is 102 degrees? Why or why not?h) What is the R-squared for this equation? How do you interpret that R-squared?The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. X Y 11.4 8.4 6.6 13.7 11 9.3 X = thousands of automatic weapons y = murders per 100,000 residents 3.7 7.5 This data can be modeled by the equation y = Answer = 2.4 2.6 2.4 0.4 6.3 5.9 6.2 4.1 to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Answer = 0.84x +4.01. Use this equation A) How many murders per 100,000 residents can be expected in a state with 6.2 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 6.9 thousand automatic weapons? Round to 3 decimal places.For this item, complete the choice matrix by clicking the appropriate answer in each row. The table shows the results from a random survey asking participants their age and current systolic blood pressure. Age (years) Systolic Blood 24 26 30 34 36 45 50 55 108 104 132 119 128 140 135 146 Pressure If a student correctly makes a scatter plot of the data from the survey, determine whether each statement is true or false. True False There are no outliers in the data. There is a positive association in the data. There is a nonlinear association in the data. A Calculator Chp esc % 3. W e
- A dataset has an average of 4/3. There are 50 elements in the dataset. What is the total of the dataset?A researcher is interested in the relationship between age and golf performance. The researcher claims that golf performance improves with age, that is, as one gets older, his or her golf scores decrease. [In golf, a low score represents better performance; a higher score represents worse performance.] The researcher randomly selects a group of eight golfers at the local golf course and records their ages and their most recent golf score. The data that were collected are presented below: Golfer's Name Diego Tiger Bogart Marilyn Jennifer Mitch Bubba Amber Age (years) Variable 1 23 14 38 43 49 36 72 Golf Score Variable 2 92 112 77 84 81 72 79 86 Which of the following are the correct statements of the null and alternate hypotheses, Ho and HA? O Ho: M₁ M₂ and HA: H1 H₂Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of the company wants to know how different variables affect the sales of his vehicles. A random sample of yearly data was taken with the view to testing the model: SALES=?+?AGE+?MIL+?ENG Where SALES= amount that a vehicle is sold for($000’s), AGE = age of the vehicle, MIL= the total mileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data was processed using MINITAB and the following is an extract of the output obtained: a) What is dependent and independent variables? b) Fully write out the regression equation c) Fill in the missing values ‘*’, ‘**’, and ‘***’.
- The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.5 8.4 6.8 3.4 2.5 2.6 2.6 0.9 13.5 10.9 9.8 6.7 6.3 6.4 4.5 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation 0.83x + 3.99. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. A) How many murders per 100,000 residents can be expected in a state with 8.4 thousand automatic weapons? Answer Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 7.3 thousand automatic weapons? Answer Round to 3 decimal places.Why is a scatter diagram important?Charlotte-Mecklenburg Schools Math 1. Unit 4. Lesson 7 Student 3. Plots of the residuals for four different models of the same data set are displayed. Which of the following plots fit the data best? a. 1 2 3 2 1 3+ 1 2 3 4 5 6 7 8 9 10 b. 3 2 1 1 2 3 + ● 1 2 3 4 5 6 7 8 9 10 C. 4 3 2 1 1 2 3 4 ● 1 2 3 4 5 6 7 8 0 10 d. 3- 2 1 N 2. 3+ 1 2 3 4 5 6 7 8 9 10