Zadanie 1a
Find a and b for the least-squares line of T on L, T=aL+b.
Interpret linear association and Pearson correlation, obtain a regression of y on x and assess prediction limits.
Tę umiejętność sprawdza 20 zadań wzorowanych na arkuszach IB z lat 2022–2026.
Find a and b for the least-squares line of T on L, T=aL+b.
State Pearson’s correlation coefficient.
Predict the cooling time at 1150 revolutions per minute using the regression of T on L.
Find a and b.
Use this model to estimate the energy use of a 12-hour cycle.
Find the mean height and the mean crown width.
Find (i) the mean of y; (ii) p.
Hence find Pearson’s correlation coefficient.
Verify that the mean y is 14.
Find p and q.
Find Pearson’s correlation coefficient.
The technician substitutes x=10 into the given regression line to predict y. Give one reason this is inappropriate.
(i) Find a,b for the least-squares regression of p on t. (ii) Interpret a in context.
The linear model predicts 23.94 MW for 2034, when t=24. Comment on the reliability of this prediction.
Find a, b for the least-squares regression E = at + b.
Use the regression to predict stored energy at t = 18.
(i) Predict c when a=44. (ii) Find the mean of the a readings.
Find a and b.
State the Pearson correlation coefficient.
Predict the output at input 25, to the nearest integer.
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