Please help with the following statistics question.

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Variables: 0 income: in 1000s of dollars (in) 0 age: in years (iii) For the data above, Z?=11'i = 719, 2;, y.- = 883, 2:13,? = 30717, 2;] any; = 37551, 2;] y? = 47833. The mean income is 49.05556 dollars, the standard deviation in income is 16.30039 dollars, the mean age is 39.9444 years, and the standard deviation in the ages is 10.8382 years. Table 1 income 25 25 51 25 45 55 45 44 45 42 53 55 52 55 53 55 55 54 (a) Find the prediction model when 'income' is regressed on 'age' and predict the income when age is 35. (b) Are ages and incomes significantlyr correlated, using the test of correlation? Test using a = 5% {c} Find the coefcient of determination and interpret. (d) Find a 95% condence interval estimate for the marginal contribution of age to income. 0n the average how much more does a person make on this year's birthday than on last year's birthday