Zadanie 1a
Find a and b for the least-squares line of T on L, T=aL+b.
Correlation and predicting y from x
Interpret linear association and Pearson correlation, obtain a regression of y on x and assess prediction limits.
Tę umiejętność sprawdza 27 zadań wzorowanych na arkuszach IB z lat 2022–2026.
Zadania sprawdzające tę umiejętność: 27 Otwórz w wyszukiwarce z filtrami
Zadanie 1b
State Pearson’s correlation coefficient.
Zadanie 1c
Predict the cooling time at 1150 revolutions per minute using the regression of T on L.
Zadanie 1a
Find a and b.
Zadanie 1b
Use this model to estimate the energy use of a 12-hour cycle.
Zadanie 5b
Find the mean height and the mean crown width.
Zadanie 1a
Find (i) the mean power and mean rise; (ii) the equation of Model A.
Zadanie 1b
Find a and b for Model B.
Zadanie 1c
Use Model B to estimate the temperature rise at 140 W.
Zadanie 3b
Find (i) the mean of y; (ii) p.
Zadanie 3c
Hence find Pearson’s correlation coefficient.
Zadanie 3a
Verify that the mean y is 14.
Zadanie 3b
Find p and q.
Zadanie 6a
Find Pearson’s correlation coefficient.
Zadanie 6b
The technician substitutes x=10 into the given regression line to predict y. Give one reason this is inappropriate.
Zadanie 8a
(i) Find the regression coefficients a,b for p on t. (ii) Interpret a.
Zadanie 8b
The regression predicts 24.96 MW for 2036 (t=24). Comment on its reliability.
Zadanie 8a
(i) Find a,b for the least-squares regression of p on t. (ii) Interpret a in context.
Zadanie 8b
The linear model predicts 23.94 MW for 2034, when t=24. Comment on the reliability of this prediction.
Zadanie 1a
Find a, b for the least-squares regression E = at + b.
Zadanie 1b
State the Pearson correlation coefficient.
Zadanie 1c
Use the regression to predict stored energy at t = 18.
Zadanie 3b
(i) Predict c when a=44. (ii) Find the mean of the a readings.
- Materiał graficzny
Zadanie 3b
Use the least-squares regression S=at+b for B to show that its modelled grant in 2025 exceeds A’s.
Zadanie 1a
Find a and b.
Zadanie 1b
State the Pearson correlation coefficient.
Zadanie 1c
Predict the output at input 25, to the nearest integer.