Math topic中文

Correlation coefficient as measure of fit

Correlation coefficient as a measure of the fit of a linear model to the scatter diagram.

Practice questions

  1. 1A teacher conducts a survey on 7 students to investigate the relationship between the number of hours (hh) of "screen-t…
  2. 2The number of years (xx) an employee has worked for the company and the corresponding salary increment, in dollars (yy…
  3. 3It is believed that the probability pp of a randomly chosen pregnant woman giving birth to a Down's Syndrome child is r…
  4. 4An electrical appliance supplier is investigating the potential impact of monthly advertisement expenditure, denoted as…
  5. 5The following table shows the mean temperature, x, in degree Celsius, from noon to 5pm over nine days in June and the nu…
  6. 6A small cafe sells one type of coffee. The selling price of a cup of coffee is reviewed and adjusted at the beginning of…
  7. 7In an experiment involving two chemicals xx and yy, a researcher recorded observations of values of yy for controlled…
  8. 8Data is gathered on how exam scores, y, vary with the number of hours, x, students spent studying for Mathematics each w…
  9. 9In a chemical reaction, a chemical mixture is left to cool down to room temperature. The temperature of the chemical mix…
  10. 10The shear strength of soil is the ability of the soil to resist tensional stresses and sustain loads. The water content…
  11. 11An experiment was conducted with a ramp placed on top of a table. A ball is then released from the ramp, at a height HH…
  12. 12The table below gives the world record time, in seconds, for the 100 metre race for the various years. | Year, xx | 199…
  13. 13Scientists are studying the growth of a particular species of bamboo. They want to understand how the height of the bamb…
  14. 14Sharron who is an amateur swimmer has been attending swimming lessons. She records her time taken to swim 50 metres each…
  15. 15The table below gives the age in months kk and the diameter in cm hh of coconuts. | Age in month (k) | 1 | 2 | 3.5 | 4…
  16. 16An old film roll is treated with a chemical in order to improve the contrast. The table below shows the amount of chemic…
  17. 17A factory manufactures a certain product for sale. The following table gives the quantity of product manufactured, x uni…
  18. 18The table gives the record time, tt seconds, for a particular 100-metre freestyle swimming long course event for women…
  19. 19A batch of plants is grown and then studied to examine how well they are growing. For each plant, data on two indicators…
  20. 20An experiment was carried out to test the effect of a new additive on the carbon emission of a petrol engine. The carbon…
  21. 21The following question has parts (a) and (b). The following scatter diagrams with 5 data points each have product moment…
  22. 22下列共有四个命题． (1)命题“∃x0∈R\exists {{x}_{0}}\in R，x02+1>3x0x_{0}^{2}+1 > 3{{x}_{0}}”的否定是“∀x∈R\forall x\in R，x2+1<3x{{x}^{2}}+1 < 3x”； (…
  23. 23Research is being carried out into how the concentration of a drug in the bloodstream varies with time, measured from wh…
  24. 24In order to investigate whether there is a correlation between rainfall and crop yields, the total rainfall, xx mm, and…
  25. 25An energy company is studying the relationship between the average daily temperature, xx (in degrees Celsius), and the…
  26. 26Data is gathered on how exam scores, yy, vary with the number of hours, xx, students spent studying for Mathematics ea…
  27. 27It is believed that there is a correlation between the number of fogging sessions and the number of new dengue cases. To…
  28. 28The following scatter diagrams with 5 data points each have product moment correlation coefficients −0.7-0.7, 00, 11, no…
  29. 29A study was conducted on a group of pre-diabetic seniors to examine whether the number of hours of exercise per week (tt…