Details No additional details were added for this assignment. Question A business finds that sales increase when the outdoor temperature decreases. Identify the relation between sales and temperature. Select the correct answer below: Sales and temperature are positively correlated. An increase in sales causes an increase in temperature. Sales and temperature are negatively correlated. An increase in temperature causes an increase in sales. Search
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1. Two variables have a positive non-linear correlation. Does the dependent variable increase or decrease as the independent variable increases? A. Dependent variable would remain the same B. Dependent variable increases C. Cannot determine from information given D. Dependent variable decreases 2. What does the variable ρ represent? A. The critical value for the correlation coefficient B. The population correlation coefficient C. The sample correlation coefficient D. The coefficient of determination 3. If there is a ^, or hat, above a variable, what does that mean? A. The value is an estimate B. The value is the mean C. The value is the standard deviation D. The value is an outlier 4. A data set whose original x values ranged from 120 through 351 was used to generate a regression equation of ŷ=0.06x + 14.2. Use the regression equation to predict the value of y when x=119. A. Meaningless result B. -7.06 C. 21.40 D. 21.34 5. A data set whose original x values ranged from 137 through 150 was used to generate a regression equation of ŷ=-4.5x + 51. Use the regression equation to predict the value of y when x=139. A. Meaningless result B. -574.5 C. -547.5 D. 574.5 6. A regression equation can have more than one ____________. A. Dependent variable B. Coefficient of determination C. Independent variable D. Correlation coefficient 7. The equation used to predict how long a cold will last is ŷ=-1.8 + 0.09x1 + 3.2x2 - 1.9x3, where x1 is a person's temperature on the first day, x2 is the number of people seen each day, and x3 is the amount of sleep the person gets. Use this equation to predict how long a cold will last with a temperature of 100.4 degrees, an average of 4 people seen each day, and 6 hours of sleep. A. 8.6 days B. 7.0 days C. 12.3 days D. 10.5 days
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Over eleven days in the summer, a salesperson measured the high temperature in Fahrenheit for the day and the sales in dollars of an ice cream vendor. Open an Excel file or similar technology and type the data into two columns as shown below: Temp Sales 58 215 62 325 52 185 60 332 66 406 74 522 68 412 80 614 76 544 64 408 Graph a scatter plot. Make sure to label x- and y-axis and a title. What is the trend line and correlation? If the temperature reaches 100 F, how much in sales should the vendor expect? Write a paragraph explaining the relationship between temperature and ice cream sales using the slope, y-intercept and the correlation.
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