[填空题]
The average price for on8/0qcs qcpk5 be square metre of land is recordeckn;slj h )1fwuc2lvyw :*0i ) ck.q(pd for seven different locations in Melbourne, Australia. The following table shows the average prices for these locations and the distances from the centre of the Melbourne city. This datal.( h2pccy kcf;uwn:kiq v )wj*s01l) is also shown on the scatter diagram below.
1. Use the scatter diagram to find the value of a and b in the table. a = b =
2. Calculate
1. the mean distance from the Melbourne city centre, $\bar{x}$ ; ≈ km
2. the mean 1 $\mathrm{~m}^{2}$ price, in thousands AUD, $\bar{y}$ ; ≈ thousands AUD
3. the Pearson's product-moment correlation coefficient, r . ≈
3. Write down the equation of the regression line y on x .y =ax+b a = b =
4. Use the line of the regression equation to estimate the price of 1 $\mathrm{~m}^{2}$ of the land 4 $\mathrm{~km}$ from the Melbourne city centre. State whether your estimate is reliable and justify your answer.